help-0

[digital raft]

then you can solve easily just how you did with your function

[stable current]

okv thanks

[digital raft]

1 is always positive so the sign is determined by (x+1)(x-2)

find the roots and use sign table

[alpine sable]

same handwriting 😄

[elfin fiber]

I WAS IN A HURRY

IMAO

[rugged ferry]

hi would anyone like to help me to check and correct my math homework about curved graphs?
there are 8 questions so i thought maybe i should send it in dms
but is it ok to send all here?

[fair osprey]

You probably could as long as channel isn’t busy? Idk

[rugged ferry]

oh ok

here

[alpine sable]

is this correct?

[fair osprey]

I think so, you could also just do
4x-3x=6-3

[rugged ferry]

yes?

yeah

[alpine sable]

photomath says it’s right

photomath

:-

photomath is my father figure

except i don’t get wet papers from crying

[maiden saffron]

Help

Algebra

[wary stream]

Don't trust everything that the software does

[alpine sable]

i just use it to check my answers

[wary stream]

Or just plug in that value back in

[alpine sable]

idfk how to do that

[fair osprey]

Is x was 5, and the equation was
X+5=15-5,
You do
5+5=15-5
10=10
And see if it works

[wary stream]

You have 3 + 4x = 3x + 6, and if x = 3, just plug in 3 as x, so 3 + 4(3) = 3(3) + 6

If both sides are equal, you did it right, if not you did it wrong

[alpine sable]

those numbers are scary

💀

[wary stream]

What if you had this on a test?

[alpine sable]

oh yeah

[fair osprey]

How?

[wary stream]

How would you check your work then?

[alpine sable]

i’ll ask my teacher in tutorial tomorrow to explain it

[alpine sable]

pure confidence

[wary stream]

You just plug in the value

I told you how to do it

[alpine sable]

i don’t understand it when it’s not explained in person. unless i need help remembering how to do something

[wary stream]

You plug numbers in

[digital raft]

its not that hard to solve you just have to separate the real number on one side of the equation and the unknowns on the other and dont forget that when you move something in an equation from a side to another you actually subtract it from both sides so anything you moved will become negative of what it was

then to check you just replace the unknown (x in this case) with the result you got and calculate if it gives you something logic (0=0 , 1=1 ..)

[bitter cliff]

If you are given P(A|B) can you use that to find P(B|A)?

[ripe cipher]

does anyone here know about voltage divider circuits

i need a quick question answered

[wary stream]

Yes, using Bayes' Theorem

[wary stream]

Depends on the question

[bitter cliff]

So how would I apply it in this question:

[wary stream]

Truthfully don't know

[velvet jolt]

Use binomial probability to plug it in back to Bayes Thorem

[bitter cliff]

I'm so lost lol

[velvet jolt]

Lay out your givens

[onyx flower]

someone

translate this for me

[elfin fiber]

bestieee

[wary stream]

Oh no

[elfin fiber]

lollll

jkk

guess what i'm alr done my HW

YAYY

[fair osprey]

XD

[acoustic canyon]

What's the x and y intercepts of 5x-4y=20

[wary stream]

Already told you how to find in #help-5

[acoustic canyon]

I don't know what you mean in there

[wary stream]

If it's an x intercept, that means y = 0, so plug in 0 for y and find what x is

[acoustic canyon]

oh yeah you can just do that

but what's the 20 mean

[wary stream]

A constant

[acoustic canyon]

man standard form is the worst

so do I just ignore it or is it important

[wary stream]

No

Plug in 0 for y, in the equation 5x-4y=20

Then find x

[acoustic canyon]

so 5x=20 so is it 4

[wary stream]

Yes

[acoustic canyon]

ok

so then it's -5

for y

[wary stream]

Could be

[acoustic canyon]

well if -4y=20 then 20/-4 = -5

[wary stream]

Is that how math works?

[stable solar]

hey guys

can anyone help me

with math??/

[acoustic canyon]

Idk maybe

[stable solar]

ok class starting soon

[wary stream]

No everyone here helps with science \s

[stable solar]

please guys help in it

[stable solar]

lol

[acoustic canyon]

man I'm tired is the y intercept -5 or not

[wary stream]

Depends, is that how many works?

[wary stream]

Help with what?

[acoustic canyon]

what's that mean it's a formula can't you just see the answer

[stable solar]

wait, i tell in 5 min

[wary stream]

I see it

[acoustic canyon]

then tell me the answer

is it -5

[wary stream]

It could

[wary stream]

Are you positive this is true?

[acoustic canyon]

maybe I think it is

is it

[wary stream]

It's either yes or no

[acoustic canyon]

I'm just trying to finish this homework

I'm tired and wanted to be done an hour ago

[wary stream]

I mean, not my fault

[acoustic canyon]

yeah but like shouldn't you be good at math can't you just tell if it's the right answer

[wary stream]

I'm testing you

On basic math

[wary stream]

Is this true?

[acoustic canyon]

yes it's true

[fair osprey]

I think they are asking you bc they are seeing if you know

[stable solar]

please help?

[acoustic canyon]

I got the answer so he can see if I know

if the answer right I know if it isn't I don't

is that a joke

[fair osprey]

What do you need help with?

[stable solar]

answer a, b, c, and d

[acoustic canyon]

you gotta be 13 or above to be on discord

[fair osprey]

That’s a very simple question

[stable solar]

yes

but i bad at math

am 14

:(

[acoustic canyon]

I'm also 14 and my math is so much more complex than that

[fair osprey]

Well you know what odd numbers are right.

[stable solar]

i do

1, 3, 5. 7

[wary stream]

This isn't even math

[stable solar]

its ez

later

[wary stream]

It says use a calculator

So use one

[fair osprey]

A square is a number to the 2nd power, prime is 8nky 2 factors , cubed is 3rd power. And just do calculations

[stable solar]

i know that bruh

[wary stream]

" 8nky"

[stable solar]

ok like question b, can i put 4?

[wary stream]

So why tf are you confused on that question?

[fair osprey]

Is 4 a square?

[stable solar]

yes

[stable solar]

it is

[fair osprey]

Then why not

[wary stream]

There's a ton more

[stable solar]

ik that

[stable solar]

ton more

yes

[acoustic canyon]

ok but seriously dldh06 I get you are testing me but like I kinda need to know if I'm doing it right like I think 20/-4=-5 but like can't you just tell me if that's how you do it

1 4 2 9

use those

[stable solar]

ok

[acoustic canyon]

for that first one

[wary stream]

Don't tell answers

Also no correct for B

[acoustic canyon]

what do you mean

4 is a square

[wary stream]

But your answer is not right

[wary stream]

That's wrong

[acoustic canyon]

1 is odd 4 is square 2 is prime and 9 is cube

how is that wrong

[wary stream]

I told you how to do it, if you can't do basic math, not my fault

[stable solar]

i have common sense, thats right

the factor of 15, do i only put 1??

1 factor*

[acoustic canyon]

there is only 1 factor that is in that list

[wary stream]

We were talking about b, and you stated 1 4 2 9

And b was odd values

[stable solar]

right ty xD

[acoustic canyon]

man whatever I'm confused now I'm just gonna try and finish this HW and go to bed

bye

[wary stream]

Do you know multiples of 7, factors of 15, even primes?

[stable solar]

yes dude -_-

[wary stream]

So what's the trouble then?

[stable solar]

leave it, just please give me answer for 2c

:(

[wary stream]

No

We don't give answers

[fair osprey]

Pretty sure that against the rules so we can’t even if we somehow wanted to

[fair osprey]

List out all prime numbers from list. Find even prime number

[maiden saffron]

I’m really struggling with math, I haven’t gotten one a in the past year

[brazen oak]

You need to find the prime factors of 144 then place them such that they only occur once and to the power of something

You can use a tree diagram

144 -> 12 * 12
12 -> 6 * 2
6 -> 2 * 3

12 -> (2 * 3) * 2

^breaking the number down into prime factors

144 = (2 * 3 * 2) * (2 * 3 * 2)
Collect terms

144 = 2 * 2 * 2 * 2 * 3 * 3

Write in index form
144 = 2^4* 3^2

[wary stream]

Don't do people's work for them

[brazen oak]

Woops, my bad

Apologies

[vast heart]

can yall help me?

[fringe robin]

what help do you need?

take same denominator and subtract directly

[vast heart]

hm

oh wait nvm thats too easy-

[sterile sparrow]

im kinda confused on how to factor polynomials

I can factor quadratics but not polynomials

[fringe robin]

find a factor and divide

[sterile sparrow]

I can see how they got -9 & 5 because it multiplies to -45 and adds to -4
but how did they get x^2 & x^2?

oh wait i got it nvm

[jovial knoll]

three positive integers a, b, and c, where a < b< c are such that their median is 11 their mean is 9 and their range is 10 find the value of a

how would I solve this?

nvm figured it out

[daring schooner]

Hi, can anyone give me an idea how to eliminate the abritary constants?

[placid zinc]

Hire a professional. A sniper ought to do it.

[devout sigil]

Sub x=3 in u should get 0 if (x-3) is factor

Factor theorem

If x=3, expression=0

No

Sub x=3

Do u know what is factor theorem

If for example if my expression is x²-1, (x+1) is a factor so if x=-1, x²-1=0

[devout sigil]

^^^

Also 3³=27

Ye and set the expression=0 for x=3

Because if the value of a factor=0, then the value of the whole expression=0 too

[vivid fulcrum]

can someone walk me through

how we do thos

im really confused

on what formula to use

[devout sigil]

U should do some research and watch videos on factor and remainder theorem first

I can see u don’t really understand the basic concepts of these and it will give u a hard time

U don’t have to know it

The answer is right inside the question

[placid zinc]

This is called the remainder theorem.
If f(x) is divided by (x - a), then f(a) is the remainder

[devout sigil]

Ye and this is just a basic concept, so u should watch some videos on basic polynomials first

Otherwise u will only get confused

[surreal meadow]

can we compute $\int x^x , dx$ by taking the taylor series of x^x?

[ocean seal]

maximo
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[placid zinc]

Yes, but also no

[surreal meadow]

my favorite answer

[placid zinc]

You can get a taylor series of said integral, yes.

I don't think you can generalize the terms though

[alpine sable]

Are elementary matrices always invertible?

[surreal meadow]

a quick google search suggests they are

[alpine sable]

I am to prove that det(AB) = det(A) det(B).

Do I need to prove that as a lemma too?

[placid zinc]

Specifically, the step you took to get that elementary matrix can be undone by simply doing the reverse of that step

Swap rows 1 and 3?
Then swap rows 3 and 1 to undo

[alpine sable]

That's what I also thought of. Thanks btw.

[placid zinc]

@surreal meadow
Nope, I did do myself the biggest dumb.

The taylor series is easy to compute. I forgot this was a famous integral

[surreal meadow]

let's take the wise words of travis willse

now the question is if we can integrate (xlogx)^k for arbitrary k, which i'm not immediately sure about

[placid zinc]

Oh you are actually looking for a closed form, haha

[surreal meadow]

yeah, it's just a curiosity thing

[placid zinc]

No, you're still willing to keep it in a sum form

[surreal meadow]

oh

[placid zinc]

I need my brain checked

[surreal meadow]

closed form as in finite sum?

or finite sum of elementary functions*

[still nebula]

can anybidy help me with a question??

[placid zinc]

Let me restart this convo. Yeah this integral has a neat sum form, but can't be written into a closed form.

[surreal meadow]

yeah closed form isn't necessary

i'd be ok with an infinite sum, is there any text i can see about that?

or if you know it and would like to share i'd be ok with that too

[still nebula]

can anyone help??

[surreal meadow]

#❓how-to-get-help and realize someone asked a question here before you

[wary stream]

No, because the channel you asked in is busy

[cloud kiln]

Who wants a nub channel

[placid zinc]

@surreal meadow
Here's one version of it:
https://en.wikipedia.org/wiki/Sophomore's_dream

[still nebula]

ohk thx everyone

[surreal meadow]

right i was looking at that earlier, i guess i didn't look far enough

[placid zinc]

But it depends on the bounds

[wary stream]

Don't give out answers

[frank gate]

oh sry

i didn't know

[cloud kiln]

Who wanna do a simple challenge

Just out of curiousity

Nothing hard

Just tests ur intuition

[wary stream]

Stop interrupting this channel

[cloud kiln]

Stfu

I’ll move

[surreal meadow]

: (

[fleet axle]

im not sure how to do 24 or 25

i could do 21-23 and i think 24 there is no scalar c that can make it work but there is no answer

and for 25 i dont really get it

[past anchor]

What are these types of equations called. I know how to do this math but im trying to find more practice problems like this for my friend to help her understand more but im not sure how to find them

[frank gate]

PEMDAS

[thorn vortex]

that's not an equation

[past anchor]

thank you!

[surreal meadow]

for 24, notice that the vector [1,-2,4] = [a,a * -2, a * (-2)^2]

[frank gate]

each equation is a simplified version of the previous one

[simple hamlet]

https://tenor.com/view/umm-confused-blinking-okay-white-guy-blinking-gif-7513882

[surreal meadow]

if this is not enough let me know and i'll keep going with the logic

[fleet axle]

ah sorry :( could you continue i get that but im not sure where to keep going

[surreal meadow]

instead of -2 treat it as the value c

so we have [1, 1 * c, 1 * c * c], so the vector is [1, c, c^2]

(where c = -2)

multiply this vector by c^2 to get [c^2, c^3, c^4]

[fleet axle]

ohhhh alright i get that

wow that seems more simple i understand it thank you

[surreal meadow]

do you know linear algebra btw? question 25 works nicely with it

[fleet axle]

im just starting to learn about linear algebra

only 2 days in

[surreal meadow]

if not you can simply treat it as a system of equations where:
x + 3y = 13
5x + cy = -15

a linear combination means you take the two vectors and do the following
$x\begin{bmatrix}1\5\end{bmatrix} + y\begin{bmatrix}3\c\end{bmatrix} = \begin{bmatrix}13\-15\end{bmatrix}$ for $x,y \in \mathbb{R}$

[ocean seal]

maximo

[surreal meadow]

i'm assuming you know vector addition

[fleet axle]

yes i do

ohhhh waita this i can just solve using the system ill do that

alright i understand it now thank you

[surreal meadow]

np

[kind parcel]

guys lets say i have a bag with 10 sweetys and 2 are choclate

and i pick out two from the bag

how do i calcualte the probability distribution

[surreal meadow]

probability distribution of what

@kind parcel

[placid zinc]

Number of chocolates that you draw?

See the hypergeometric distribution

Or, since there's only three options, get them individually haha.
f(0) = (10/12)(9/11)

[sudden garden]

help!

[surreal meadow]

what's giving you trouble

[sudden garden]

universal sets. should i think another set for those two subset of the universal set?

[surreal meadow]

yes, find a set S where {5, 10, 15, 20, 25} ⊆ S and {10, 100, 1000, ...} ⊆ S

[sudden garden]

ok,thank you!

[surreal meadow]

be careful though, there's an infinite number of wrong answers

and also an infinite number of right answers

so 🤷🏻‍♂️

[sudden garden]

ok I'll try!

[alpine sable]

,rotate

[alpine sable]

it would definitely be nice :)) thanks

[true fossil]

I do not understand how they got their answer

[surreal meadow]

i don't feel like doing all the arithmetic, could it just be the addition of y1(1,3) and y2(1,3)?

[true fossil]

tried that

it is not adding up

[surreal meadow]

did you use a calculator?

if so, did you use radians or degrees?

[true fossil]

Rads

This right?

$0.3sin\left(4+9+\frac{\pi }{3}\right)+0.6sin\left(8-18\right)$

[ocean seal]

Ned

The following error occured while calculating:
Error: Syntax error in part "\left(4+9+\frac{\pi }{3}\right)+0.6sin\left(8-18\right)" (char 7)

[true fossil]

,calc 0.3 Sin[4 + 9 + Pi/3] + 0.6 Sin[8 - 18]

[ocean seal]

The following error occured while calculating:
Error: Undefined symbol Sin

[true fossil]

im 99.9% sure i havent done a mistake like that

to be honest im still using the channel

<@&286206848099549185>

[sonic crater]

can someone help?

[pearl marlin]

try to use $D = \int_{a}^{b} \sqrt{1+(\frac{dy}{dx})^2}dx$

[ocean seal]

learn4math

[sonic crater]

i have no clue wat that means, im in yr 11 and it was on an introduction to calculus test

all i know is derivatives and everything that goes with that

[pearl marlin]

okk

[sonic crater]

is there another way to slove it?

[pearl marlin]

just leave this, let me think some easy one

[ocean gazelle]

Help

How do you find the rate of change on an interval notation

[placid zinc]

@sonic crater
Total distance? Impossible.
Total displacement? Easy.
You sure they're not asking for total displacement?

[sonic crater]

yeh how would you do displacement

i think dispalcement is what there looking for

[placid zinc]

That's just the distance between the two roots A and B. So, what are the roots of that equation?

[sonic crater]

oh yeh no they didnt want that

they wanted distance

yeh cause i initially thoguht it was just the displacement between a and b

but yeh na

[shy flicker]

can anyone help with this one

[split oriole]

at maximum height velocity will be zero so v=0 , u = 12 and g=9.8 for a use v^2-u^2 = -2gs ( negtaive because we are going in opprosite direction of gravity)

where s is maximum height

[shy flicker]

what is u ?

[split oriole]

initial velocity

[shy flicker]

oh yep yep

but does gravity (9.8) also applies in calculus?

[vale wigeon]

gravity on earth is 9.8 m/s^2 no matter what you're studying

the fact that you're studying calculus has no effect on it

[split oriole]

okk so here given that acceleration is 9.8 upward o take it ( becuse we don't know on which planet they are)

[shy flicker]

well yes i know but my teacher never told us about using 9.8 here

[vale wigeon]

if it was on another planet with a different gravity they would've given you a value

[shy flicker]

..

[vale wigeon]

you can and should assume this is happening on earth

don't overthink it

[shy flicker]

im more confused than i was before

oh not from that about using gravity in calculus since my teacher never mentioned about using gravity in calculus

dw lol

yes

use calculus to find maximum height

its the calculus workbook ?

i dont know what to do after doing -4.9t^2+12t+c

uh no ? just wanna find the maximum height and velocity

yeah i anti - differentiate it alr

[humble yoke]

why?

how

[pulsar aspen]

*v2

[humble yoke]

🤔

aight

thanks

[placid zinc]

x^(1/2) / x^(1) = x^(-1/2)

√2 / 2 = 1/√2

[humble yoke]

I see thank you very much

[ivory thicket]

this is some data I haave

How do I calculate correlation coefficient

I have the accuracy which is the data im graphing

then the trend lines equations (log, quad, linear)
then the % error those trend lines have

wym

I want to know the number between -1 & 1 of error

for each trend line equation

from the original data

[alpine sable]

Heya

Does someone know how to

[vestal pilot]

how to what?

[alpine sable]

ABCDE x ABCDE = xxxxxABCDE

[ivory thicket]

what

[alpine sable]

xxxxx can be any numbers

[ivory thicket]

wdym

[alpine sable]

abcde each letter = different number

find letter a b c d e

[ivory thicket]

(abcde)^2 = x^5* (ABCDE)

[alpine sable]

^ ?

[ivory thicket]

yeah i have no idea what you mean have fun

[alpine sable]

have fun?

alr brb

[vestal pilot]

u don't need to say that it's a bit rude

[alpine sable]

but look at the timeses

number 3

[vestal pilot]

true, i know but the problem is that u could words it different

[alpine sable]

?

[ivory thicket]

is that english

[alpine sable]

number 3

expect it as ABCDE x ABCDE = xxxxxABCDE

yes

we are learning from russian book

IN canada

:||

yeah it caN be

cant be

00000

[vestal pilot]

i make a mistake

[alpine sable]

it is a 10 digital number

[vestal pilot]

that's why i took it down

[alpine sable]

yeah

[alpine sable]

hha

[vestal pilot]

its sound more like logic question more than mathematics to me

[alpine sable]

yeah its like iq and mathematics?

so?

this?

[vestal pilot]

yea it's the same thing

as ABCDE x ABCDE

[alpine sable]

what is a b c d e?

[vestal pilot]

u don't need to u know i believe

[alpine sable]

sorry

what is ^?

ohh ok

[vestal pilot]

anyways

can i ask my question now?

[alpine sable]

[onyx prairie]

I have 10 more questions if you dont mind

[vestal pilot]

wait what about my question?

[alpine sable]

this

[vestal pilot]

wait so is it a b c d or e

ohhh cool thanks

[coral inlet]

No need , I got it.

[vestal pilot]

it's d i think

[coral inlet]

He said 22*8, use a calc maybe. That's 176.

[vestal pilot]

ok

thanks

[coral inlet]

Read what he said, again, if you don't understand.

[vestal pilot]

thanks

[grizzled gyro]

any pointers for figuring this out?

i barely understand the question

aye

yeah

sucks

prof is bad

[dawn oak]

Please explain e - f for me please
It doesn't make any sense for me 😭

[open cliff]

Does anybody know how to do this?

[tiny fiber]

how woud I solve this?

[glass lichen]

you wouldn't, it's not an eqn so you cant solve it

[tiny fiber]

yea but you can simplify it to one fraction

[flat vale]

get a comm denom

[tiny fiber]

i know but I dont know how, thats why I am here 😅

oh yea that makes so much sense I should have known that, thx alot

[open cliff]

Can anybody pls help me

[jade birch]

@open cliff where are you stuck?

variables

Also, what do you need to do here?

@alpine sable

simplify?

those are called the exponents

[ocean seal]

.itsjustnai

[jade birch]

You might also hear people call them powers

[sudden garden]

wow,thank you,this is very useful!

[buoyant ivy]

or indices

[jade birch]

hmm

this thing?

[ocean seal]

.itsjustnai

[jade birch]

Nothing

[sudden garden]

they are not like terms

[jade birch]

Alrhough, you can play around with this one a little bit

No?

[ocean seal]

.itsjustnai

[jade birch]

Wb?

Well

You can do this to the second term in your sum

[jade birch]

this, I'm refering to

And then get them under the same denominator

And apply the negative exponent on the fraction

[dense blaze]

how do i get from the green part to the black right hand side

[open cliff]

For b and c

[sudden garden]

this might help you,i extract those form my school text book

can u exlplain?

these are some of the theories that we should consider when doing indices

[buoyant ivy]

i thought 0^0 was still 1

[sudden garden]

yes

its 1

[vale wigeon]

also "theories" isn't the right word to use here

[sudden garden]

yeah yeah i know but i didn't have a word to use there.

[buoyant ivy]

it would be theorem i think

[vale wigeon]

maybe "identity" or "property" or even "law" instead

"theorem" is technically correct in a sense but a little too fancy

[buoyant ivy]

🎩

[jade birch]

I'm not really seeing a way to find the coordinates of point E except:

find the line equation of BC

find the shortest distance d from A to BC

use that distance^2 as a radius for the circle with center A

write the equation of said circle

find the intersection between the circle and the line

but thats a shit ton of work

for sth that should be simpler

[alpine sable]

Is this correct?
THis is the answer but i got something different and it doesn't make sense if its correct can u explain to me

[mental burrow]

Hello

I need help

[alpine sable]

turns to 5

[mental burrow]

jus give me the answers im struggling

OH

[jade birch]

yes@alpine sable

[mental burrow]

DID I INTERUOT SOUNTHING IM SORRY

[jade birch]

2^5

[vale bough]

Yes question 0 is not in used

I can’t solve they are out of the box (kinda)

Yes is work like this

Cus is equal to 1/2^10

[vale bough]

And yeah can someone know this

[alpine sable]

for this one i think just expand the normal brackets so (2x-3)^2= 4x^2-12x+9 so the 9 will be multiplied with x to get 9x so its -12x+9x=-3x I think

[vale bough]

How about the x^1000

[untold tapir]

actually you dont need the -12x

[alpine sable]

i think the coefficient of x^1000 is just one

oh wait nvm

[untold tapir]

since -12x multiplied by only a constant then it will be ___x, however on the right side each term is x^some power

[untold tapir]

this one should be 9x i think

[alpine sable]

oh yeah ur right

i messed up by bad

[untold tapir]

nvm it happens

[vale bough]

Wut

[alpine sable]

Actually thats wrong

[vale bough]

I still don’t understand

[alpine sable]

i think andrew can explain better

[vale bough]

What is the coefficient of x and x^1000

[untold tapir]

coefficient of x should be 9

[vale bough]

Ok actually I use my last weapon

[untold tapir]

for x^1000 you need to calculate x^2 times coefficient of x^998 (in the RHS equation) + -6x times coefficient of x^997 (in the RHS equation) + 9 times coefficient of x^1000 (in the RHS equation)

(-a)^4=a^4,
a^1 times a^4 = a^(1+4)=a^5

[vale bough]

Why tho actually

[split heart]

a person has invested a certain amount in an investment that has yielded 5% in a given period.
knowing that inflation in the same period was 12%, determine:

1- if there was a gain or loss in purchasing power and calculate this value as a percentage (leave the result to 3 decimal places)

2-if the person had not invested any money and inflation was still at 12% what would be the percentage loss in that person's purchasing power? (leave the result to 3 decimal places)

[untold tapir]

since if you expand the equation on the left, you get
4x^3 - 12x +9, and you want the coefficient of x, you need to take 9 multiplied by the x in the RHS equation, which is 9
but for -12x, you need to multiply by a constant to get the coefficient of x, but in the RHS there is no constant, since everything is a factor of x,
therefore the answer is only 9x1=9

[vale bough]

Oh

Ok

[split heart]

can someone help me?

[untold tapir]

sry im not really sure for this one

[split heart]

do you have any idea?

[untold tapir]

im guessing, since inflation is 12%, then the value of money would be 100/112 as before, so for no.1,
i think it's 105%(100/112) for percentage of money after inflation+investment, and just take 100% minus that and thats ans for no.1 i think

idk if youre not sure you can wait for others to confirm

[split heart]

thank you anyway. Let's see if anyone says something

[alpine sable]

Hello everyone, How can I show that f is a sub vector space of r3

<@&286206848099549185>

[analog arrow]

[placid zinc]

@alpine sable
By going through the subspace rules, of course!

Easiest one, does your set F contain (0,0,0)?

[coral inlet]

56 (b)

[wanton smelt]

whats the module of a complex number if it only has an imaginary part?

[coral inlet]

0+iy(x=0)

Calculate with that

[ocean seal]

Boomer Kingsley

[candid torrent]

it's closed

i think

[wary stream]

FYI \cup is the union symbol

[alpine sable]

An open interval does not include its endpoints, and is enclosed in parentheses. A closed interval includes its endpoints, and is enclosed in square brackets. An interval is considered bounded if both endpoints are real numbers. An interval is unbounded if both endpoints are not real numbers.

[alpine sable]

You got a closed union opened union closed interval

[sudden crater]

Hi, is this channel open?

[alpine sable]

thats up to @strange blade ¯_(ツ)_/¯

[strange blade]

hmm

ok so the domain is compact ( |x| <= 3 )

and that satisfies weierstrass theorem (that the function has minimum)

but it doesn't make any sense, graphically

I guess another condition has has to be satisfied (not mentioned in my handout) is that the function has to be lower semi-continuous

that has to be it, so this function has no optimal solution

[velvet condor]

why is there exist such x so that f(x)=ax^3+bx^2+cx+d is either positive or negative

[sudden crater]

wdym

[velvet condor]

cubic equations have atleast 1 real root rite

[sudden crater]

Well if they have real coefficients yes

[velvet condor]

then how do you prove it..........

people told me that there exists a number x that is large enough such that f(x)>0 and a number such that f(x)<0

hence the function will cut the x axis atleast once

[velvet condor]

but how do you prove this

[sudden crater]

I’m not sure how to prove it but I can give a bit of rough intuition

So let’s ignore every other term in the cubic except ax^3

Okay let’s just take a function for example

x^3-7x^2+8x+3

as x approaches infinity

the x^3 term will grow much larger compared to the others

And therefore you can ignore the other terms

You’ll get a very large positive number

As x approaches negative infinity you can ignore all the other terms again

And you’ll get a very negative number

So for example ax^3+bx^2+cx+d

x^3 grows faster compared to the other terms

So when x is really large then you’ll be approaching either negative infinity or positive infinity (depends on value of a which infinity it approaches)

And when x is approaching negative infinity the function will approach negative infinity or positive infinity

And because of intermediate value theorem

There’ll be one point where it crosses the x axis

Another reason which I’ve heard of before is the fact that complex roots come in pairs of conjugates in a real polynomial https://en.m.wikipedia.org/wiki/Complex_conjugate_root_theorem

so let’s say the roots are a+bi and a-bi

And the other root is d

And the polynomial is cx^3+ex^2+fx+g

then the polynomial will have the form (x-a+bi)(x-a-bi)(x-d)

= ( (x-a)^2+b^2)(x-d)

Which is always real

However if you assumed the polynomial had three pairs of complex roots

then you would get imaginary coefficients for the cubic

This is why you can’t have three complex roots for a cubic with real coefficients

[tight steeple]

just prove it's a continuous function

[tight steeple]

and this will make sense to you

[velvet condor]

ill try it l8r:)

the explaination is a bit intriguing for me but i get most of the parts

thanks ig

😄

[sudden crater]

It’s probably better if you use their method

[coral inlet]

(sending this again, sorry) 56(b). I have solved it to be 0, but I cant verify.

[raw oriole]

Help

Me

[radiant ferry]

how do you solve question 8?

[dull onyx]

u can simplify

[alpine sable]

apply exponent laws

[radiant ferry]

oh thanks

[ionic jewel]

ok sbeve

[shut mirage]

Hi, can I ask a question?

[toxic island]

maybe

[shut mirage]

or is this still in session?

[radiant ferry]

wait i still dont understand how do i change using exponent law

[alpine sable]

recall your laws of indices

[radiant ferry]

hmmmmmm

so i add the power of 8 and 9 = 17 minus 4?

[dull onyx]

no

the same base

[untold tapir]

You can’t apply the law for 5^8 times 3^9 since they’re different bases

[dull onyx]

u have two 3’s

[untold tapir]

However 3^9 and 3^4 have the same bases so you can apply the law on these two

[near flicker]

Channel free?

Please solve these as per your capacity.

Ping me while responding.

<@&286206848099549185> , sorry for ping.. my apologies for disturbing.

[surreal meadow]

@near flicker wait 15 minutes before pinging helpers

what about the questions is giving you trouble?

[near flicker]

Thank you for the information!

The questions have been answered already.

By other means, not restricted to this server.

[surreal meadow]

ok.

[near flicker]

Channel free

[buoyant kayak]

from your derivative, multiply top and bottom by sin(x)+1

[ancient saddle]

Hello, the first thing you got is correct, you just have to replace cos^2 (x) with something else

[buoyant kayak]

that works too and is faster lol

[ancient saddle]

In fact, I think this one is faster because you don't have to factorise, just replace

[buoyant kayak]

nah, my way is one more step

cause if you multiply top and bottom, you essentially get the same thing as just replacing cos^2(x)

[ancient saddle]

1 - sin^2 (x), just use the trigonometric identities you know or review them

[true fossil]

Can someone help me :

Where is the right answer

[alpine sable]

anyone good with quadratic equation here?

[crisp grove]

https://dontasktoask.com

[alpine sable]

:/

[brittle trout]

Yes

[brittle trout]

You need help?

[alpine sable]

Yup

hold on

[brittle trout]

Ok

What grade r u in?

[alpine sable]

9

we just started about quadratic equation

[brittle trout]

Ok

[alpine sable]

can i send it on dms or just here?

[brittle trout]

Dm's are fine

[alpine sable]

Oh, ty.

[brittle trout]

np

[weary slate]

hey guys

question concerning trigonometry

why does this conversion of the sinus function lead to two solutions?

As shown in the following example. I can easily calculate the redly marked route by using the formula.

but the other one doesn't make sense to me. Can someone please explain?

This is a sketch in the solution, which I also don't really understand. Help

[olive inlet]

draw a perpendicular from the top
u can prove that its gonna bisect the quadrant angle
also the left line is gonna divide it into angle 30-30

Ig it's easy to do now

[weary slate]

nah, I don't understand lmao

[gray isle]

sin(a) = sin(180°-a)

there are two solutions to sin(x) = k
for 0 < x < 180°, 0 < k < 1

sin(38.7°) has the same value as sin(141.3°)

[weary slate]

Ah ok i see

yeah that helps

thanks

[gloomy hazel]

Hey I have a simple question I just forgot how to do it

simplifying this

[alpine sable]

@gloomy hazel

[gloomy hazel]

thanks!

[quaint pine]

why is
(-∞, 5) ∩ [-1, +∞)

the same as [-1, 5)

[glass lichen]

Definition of intersection

[quick echo]

anyone knows why the answer is c?

or pls tell me just the formula i guess

[forest ore]

im in year 2 do i need advanced sequences like the nth term

[alpine sable]

yr2?

So you're 6-7 years old?

[quick echo]

I believe that's 2nd year high school in other countries which is grade 8

[alpine sable]

Can someone explain to me the k+1 step of this induction

[small bear]

what have you tried?

[alpine sable]

I'll just note that I need help with the Simplex Method in Computer-Software tag if anyone can help. If not ill just repost it at another time

[hollow osprey]

Hello I have this statement that I am trying to algebraically prove, I have no idea where to start:
the smallest value of n (>1) for which 1^2 + 2^2 + 3^2 + ... + n^2 is a perfect square is 24

There is apparently a proof by exhaustion method but I'm wondering if there's an algebraic way.

[tight locust]

i'm pretty sure that's the only value

i guess a good way to start is an explicit formula

[hollow osprey]

i believe it is to, but i need to prove it

[astral dagger]

well, you know that (1^2+2^2+3^2+\cdots+n^2=\dfrac{n(n+1)(2n+1)}{6},~\forall{n}\geq1)

[ocean seal]

SubGui

[astral dagger]

suppose it is equal to a perfect square, i. e, (\exists{k}\in\mathbb{Z}) such that (\dfrac{n(n+1)(2n+1)}{6}=k^2)

[ocean seal]

SubGui

[hollow osprey]

what's the significance of 6?

[tight locust]

1/6(2n^3 + 3n^2 + n)

[glass lichen]

It's part if the explicit formula...

[tight locust]

n = 2 mod 6 or n = 0 mod 6

[astral dagger]

in other words, (\exists{m}\in\mathbb{Z}) such that (n=6m+2) or (n=6m)

[ocean seal]

SubGui

[tight locust]

4 + 4 + 4 = 12
so also n = 4 mod 6

basically n is even

[astral dagger]

,w 2n^3+3n^2+n congruent 0 mod 6

[hollow osprey]

we haven't learn modulus yet

[ocean seal]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by SubGui#6716

[astral dagger]

I messed up

oh, here it is

[tight locust]

no that can't be true. n can't be odd

[hollow osprey]

ok you've lost me

[tight locust]

oh shit i'm dumb

forgot about coefficients

[alpine sable]

fuck math

[astral dagger]

[alpine sable]

i hate math

[astral dagger]

[alpine sable]

i also cheated on my test yesterday

[hollow osprey]

i still dont understand the significance of 6

i get the quadratic

[tight locust]

it's not a quadratic

[hollow osprey]

that is

[astral dagger]

https://www.youtube.com/watch?v=gVMEtOXdhs8

[tight locust]

is that a quadratic?

[astral dagger]

here is some breakdown for ya

[tight locust]

the polynomial has 3 linear factors

can a quadratic have 3 linear factors?

[hollow osprey]

oh its a cubic

wait

[astral dagger]

https://tenor.com/view/rooster-teeth-regret-is-intensifying-geoff-regret-gif-11342809

[hollow osprey]

shhhh

my brain has stopped functioning after looking at the other channels

and my realisation that there's a shit tonne more to learn for a levels

[wary wolf]

how?

i dont understand

[stoic tundra]

I don't understand this

<@&286206848099549185>

[digital flower]

If you look at the graph, the line goes through two points: (0, 2) and (2,0)
Plugging (0,2) into the first equation you get: 2 = 0 + 2 which is true.
Plugging (2,0) into the first equation you now get 0 = -2 + 2 which is also true. So the solution is the first one. If you plug (0,2) or (2,0) into other choices, you will get two different numbers on both sides so they are not the right answer.

[tough ether]

Any tips on this: I want to show that if I choose 70 distinct subsets of {1,2,3,4,5,6,7}, then one of the chosen subset is strictly contained in another one of the 70 subsets. That is if $A_1,A_2,\ldots, A_{70}$ are my subsets, we have $A_i \subset A_j$ for some $i \neq j$

[ocean seal]

Mr.Hahn-Banach

[lone heart]

From

#❓how-to-get-help

Rule 4

If your question has not been answered for a minimum of 15 minutes, you may use the Helpers tag once. Please do not try to bump your question using this ping unnecessarily. Do not abuse this ping. Do not individually ping users with the Helpers tag without their express permission.

[glass lichen]

what have you tried?

[winter frigate]

Please could you help me

[glass lichen]

no

[winter frigate]

How come?

[glass lichen]

I dont help people who feel the need to be a pain and ping instantly

[winter frigate]

Sorry, I didn't mean to 😔

[glass lichen]

so then attempt it before asking

[glass lichen]

blocked if you ping me once more.

[winter frigate]

Okay I won't do it again 🙏

[glass lichen]

No

Go attempt it first

That should've been the first thing you did, without me having to tell you such

[hollow osprey]

@astral dagger sorry for the ping but i now understand the formula how do i use it to reinforce the statement?

[astral dagger]

as we stated later, if you consider that expression equals to a squared number

then multiplying each side by 6

[glass lichen]

units?

[astral dagger]

the expression on the numerator should be a multiple of 6

such that it is congruent to 0 mod 6

now this channel is occupied

[glass lichen]

You forgot the units

Hence why I said "units?"

...

k

1. Dont use shit language
2. Units are like metres, seconds, etc

yes, $1.2\cdot 10^8$ s

[ocean seal]

Mosh

[oak chasm]

<@&268886789983436800>

[hollow osprey]

yes n(n+1)(2n+1)=6k^2 but i dont understand how this relates to 24

[tame falcon]

Thanks

[astral dagger]

in order to it be a perfect square, if it's a product of linear factors, you need each factor to be equal or at least each one of them also being a perfect square

[hollow osprey]

so the fact that 6 is a factor of 24 states that its a perfect square?

[astral dagger]

not exactly

[alpine sable]

Can someone tell me which one is wrong

[hollow osprey]

1 and 2 aren't vertical angles

wait

[alpine sable]

Lol

[hollow osprey]

if vertical = correspondent

[alpine sable]

Vertical is x

[astral dagger]

am going to the gym, I hope someone help you out with that problem bro

[hollow osprey]

oof ok

am i close?

[alpine sable]

To

Do u know what vertical angles are

[hollow osprey]

yes correspondening angles

[astral dagger]

https://www.jstor.org/stable/2688243 also found this paper

[alpine sable]

No

[hollow osprey]

yes so corresponding

that's what i saiad

'vertical angle' is an alias of a 'corresponding angle'

[hollow osprey]

ok now imjust confused

[tropic sail]

If $a$ is even prove that $a^2$ is also even. How would i go about doing this. I have a rough idea but i have no idea how i would put it in proofes :/

[ocean seal]

mchw

[tropic sail]

You get 4k...?

Yes

And if i wanted to write it as a proof i would just list those steps?

[coral temple]

.6222222222ect as fraction is what

[tropic sail]

Thanks!

I think reacurring

[coral temple]

repeating basically like 2 goes on forever

What is it as a fraction

Nvm got it

[radiant agate]

How would I write x^2-16x+100 in complex number form?

The question is telling me to solve using complex number system

[tight atlas]

$mosh is bad at math$

[ocean seal]

ReaPeR

[astral dagger]

[true fossil]

I need to figure this out

[robust geode]

Maybe first multiplicating left and right so there's no fraction anymore

Then collecting terms

[somber stream]

Howdy all, looking to calculate the probability in percent for rolling a 69-sided dice 69 times and getting all rolls 69. Not a homework problem, just came up in a discussion, and my google fu is letting me down

Formula for n-sided dice x times for result y would be ace!

[safe flume]

x_1+ (1 - e) / 2 + 2e = 3

I meant x under 1

[toxic island]

rolling any fair n-sided die m times to get any pre-determined sequence of rolls has probability $(1/n)^m$

[ocean seal]

sat_3

[somber stream]

Thanks - although it turns out I misunderstood the problem. It's actually the probability of getting 69 69's, by rolling 69 d69's, 69 times. Sorry this is such a boneheaded thing 😄

[arctic steeple]

What sat wrote still fits

You’re just throwing a fair 69 sided dice 69 times independently

[toxic island]

indeed

[arctic steeple]

And it’s the Same Laplace room as mentioned before

You’d just get 1/69^69

Which is quite low

[toxic island]

lol

[somber stream]

Soz, my probability knowledge is zero - each roll would be: roll 69 d69s. Do that 69 times, what's the probability of getting 69 69's? Surely it's not the same formula as before which is incredibly small for those values

[arctic steeple]

You mean 69 different dices and getting 69 on each one?

[toxic island]

first try going around the circumference of the milky way 30 times, and for each millimetre you pass, check all of the known particles in the universe. then do that whole process again, for each millimetre in the circumference of the milky way. your roll will be one of the particles

[somber stream]

You know what, I'm not even sure they've stated the problem clearly. I need to get out of it before I lose any more braincells 😆

[arctic steeple]

I mean it won’t be hard to determine

I just don’t 100% understand what you’re getting at

[toxic island]

in other words, for each millimetre in the circumference, check the entire circumference, checking all the known particules for each millimetre in that subsearch

[arctic steeple]

But yeah in conclusion

The probability

[toxic island]

Really Fcking Small

[somber stream]

Nor do I, because they haven't made it clear what it is, my statement above is ambigous. Thanks for your help though!

[arctic steeple]

Incredibly fcking small even

[toxic island]

lol

[arctic steeple]

Lmao

[somber stream]

The claim was about a 5% chance which is why I questioned it in the first place, I don't know if you can interpret the actual question given that info, it sounds like you roll 69 d69's and do this 69 times. You count all the dice from the whole process that land on 69, until you get 69 of them? But what if you go over? They didn't make it clear. Not much point in continuing if I can't describe the problem clearly, anyway 😄

[uncut tapir]

I hope that's not meant to be the proptionality symbol?

Otherwise it's just wrong

[arctic steeple]

So they are asking about the sum?

[uncut tapir]

Why would you wait until you get 69, 69 times?

With a dice you'd be hypothesis testing a uniform distribution I believe via the chi squared test

[safe flume]

so they basically asking for x1

[uncut tapir]

Non uniform distribution means a biased dice

[safe flume]

and it is not infinitive but it could be any number

[somber stream]

Ok, let's assume it's this: What is the chance that you have exactly 69 of the dice land on 69, when rolling 69 d69s, 69 times.

i.e. I think that can be simplified to rolling 69^2 d69's

[uncut tapir]

So that's just your 1/69 chance with a binomial distribution of 69 trials

Assuming all die are unbiased

Wait not

[somber stream]

Yes. Assuming I know nothing about probability, what percentage chance would that come to?

[uncut tapir]

69^2 trials

Yeah

Could even use the normal distribution approximation since you have a high n and low p

That would probably be the best option nice quick look up from the tables

[somber stream]

Sure, but as I said I don't know what any of that means. Is there a formula for each variable int he problem above? What's the percentage chance?

[uncut tapir]

https://www.statology.org/normal-approximation/ just have a read through this but you will need tables if you're using the normal distribution

[toxic island]

if it's 69^2 dice then it's just (1/69)^(69^2)

just an impossibly small number

for every nanometre that you cross when traversing the circumference of the milky way, check all particles in the known universe 1 quadrillion quadrillion quadrillion quadrillion quadrillion times. for each of those particles, within each check, count from 1 to quadrillion quadrillion quadrillion quadrillion quadrillion. you will encounter the roll while counting

or like every mosquito in the world getting struck by lightning at the same instant, over and over for trillions of years. for every particle in the known universe

you can tell them that is the answer

[somber stream]

Unfortunately that was my original statement, but not the current one. Although @uncut tapir 's guide looks like the ticket so I'll work it out from that. Cheers all!

[uncut tapir]

Yeah the standard deviation is like √68 or roughly 8 so 64 is 8 standard deviations on a bell curve....

2 standard deviations is like 97% of the total area, or 3% to be more than 2 sd's from the mean

[dim vine]

If g(x) = ax+b , how do I show that when g^-1(x) = g(x), a = -1? (neither a nor b are 0)

[glass lichen]

g(x) is a constant here

[dim vine]

ok

[uncut tapir]

And as for functions that are their own inverse I only know of either linear or recirprocal functions, where a=-1 doesn't make sense either

[dim vine]

gimme 1 second to think

[uncut tapir]

g(x)=x would be a solution

[glass lichen]

Have you tried writing g(x) properly BTW?

Instead of accepting your typo as gospel when you know it's wrong?

[dim vine]

Oh

Mb

sorry about that one

[glass lichen]

Well yeah, just find the inverse then equate coefficients

[uncut tapir]

The inverse function equals the main function

[dim vine]

I';ve got b/a + b/a^2 = x So I'm assuming it's to do with the fact I need a^2 to = a?

[glass lichen]

You know what coefficients are, and you know what equate means... so use some logic

[uncut tapir]

I don't know where you got a^2 from either

You should have x = ay +b and rearrange for y to find the inverse

[dim vine]

Yeah I got that

[uncut tapir]

Ahh I guess you do get a quadratic but you can also solve by inspection

It's kind of obvious that for 1/a = a it's got to be 1 or -1

[dim vine]

I'm assuming that just means look at it to get an answer

[uncut tapir]

Yeah

Then the tricky part comes with actually checking both solutions. Only one of them will work if b≠0

[dim vine]

Icl, my brain is not working rn so dw. Thanks for the help, sorry for wasting your time

I'll look at it later because i'm making a mountain out of a molehill in my mind

[dreamy needle]

Im very confused as to how they decided to simplify and get to the answer they got to.
If anyone would be so kind to explain how they got to the third row that I would very much appreciate it!

When i fully expand (which is not simplifying im aware of that) i have no idea how they arrived to the simplified solution they have in the last row

[cold ember]

A, B, and N are constants, correct?

If yes, does that help you understand how to simplify?

[ocean gazelle]

How do you find the rate of change on an interval notation

What is the average rate of change

@cold ember

?

@dreamy needle ?

[cold ember]

Please provide a problem or example.

[earnest ore]

can someone explain how to do this pls?

[foggy onyx]

is this chqnnel busy?

how do i find the 20th term if the sequence is 4,16,36 and 64. i know how to solve but i dont know the formula on this.

[open moat]

hello

i need help soon

[fickle dock]

@open moat can you stop posting the same thing to every channel? help with quizzes is also not allowed

[snow lichen]

help?

[alpine nacelle]

I would say 30% overlap so answer B

[dim walrus]

Hey I don't know much about vectors, but I need to see if I could find out if one vector is in front of another vector or behind another vector, does anyone know a way this could be done? Even just resources to where I could learn about this would be amazing

[winter rock]

@dim walrus hi, no sry I don't think I can help u

But could u help me?

[dim walrus]

I know nothing about math or ur question so sorry but I don't think ill be able to

im just here because of a problem with game development that im trying to solve

[alpine sable]

you could make them different colors?

then see which color is showing when you intersect them

[fair osprey]

https://www.storyofmathematics.com/parallel-vectors#:~:text=in column form.-,To determine whether they or parallel%2C we can check if,of each other or not.&text=Since the vector P is,direction of the vector P first thing that came up from google. also a game dev server/code one might be able tohelp you more?

[dim walrus]

I checked a game server and they gave me a complicated graph that I didnt understand and said I could find it with dot products if I was lazy. I just watched a video on how to get the dot product and really wasnt sure how getting that would be helpful so I came here for maybe some extra clarification lol

thanks so much for the link ill check it out right now @fair osprey

[fair osprey]

what about acoding server? they could probably have some way of havign a program detect it

[winter rock]

Anyone could help me,

I have to do verify it its perpendicular and justify

True or false*

[dim walrus]

@fair osprey yeah Im on the c++ unreal engine coding server regularly, but the two people who answered my question didn't mention any engine code that would be able to find it for me and instead linked me mathematics based solutions. So I assume there isn't one. But there might be and ill look for it I just don't want to be a bother lol

and ask a ton of questions when they already went out of there way to help and link those sources

[fair osprey]

maybe look in languages that are close to C++?

[dim walrus]

that cafe?

[fair osprey]

typo

[fair osprey]

can you rotate?

[winter rock]

I think there's a command to rotate

Wait lemme rotate

[dim walrus]

umm If it can be found it can be found in C++, but thats a good point. Maybe ill just search some straight C++ and see if someone has an answer. Thanks

@fair osprey

[dim walrus]

but ill watch the video you sent me first

and see if I can get started with that

[fair osprey]

ive head python and java are similar, but IDK how cloes they are but if htey are close enough maybe a python server which i think is more popular could help?

[dim walrus]

@fair osprey C++ is a lower level language than python or java which means it can do a lot more then either of those languages can. Also c++ is super popular but I guess not as popular outside of regulated classes and outside game dev. But I really don't think their would be automated ways of checking if one vector is in front of another within the code itself as thats a very specific problem. I really think its a math thing or implemented in unreal engine code

appreciate the help :3

[median heron]

@dim walrus

found a thread about this and it mentions dot product as well

https://forum.unity.com/threads/how-do-i-detect-if-an-object-is-in-front-of-another-object.53188/

[dim walrus]

@median heron omg thanks so much

exactly my problem :3

[earnest ore]

an someone hlep pls? I'm lost

[mellow canyon]

how would you go about doing something like
x = x^2-6x+12 if you want to turn it into a y = a(x-h)^2+k form? the double x is tripping me up