help-0

[cinder wedge]

wtf I didnt understand him

sorry

[alpine sable]

nah no need to apologies lol

we're just telling ya

they kinda solved it themselves..

[nimble meteor]

@cinder wedge sorry for confusion

but could someone tell me how to find x-intercept?

cause technically 0 can't equal 2

so would it just be undefined?

[alpine sable]

what

[cinder wedge]

hahaha you said he solved HAHAHA

[alpine sable]

I mean he did imply that

"never mind
I'm stupid
bye"

[tough hatch]

it would've none

[cinder wedge]

so weird here bye

[alpine sable]

and i dunno whats so funny about that

bye ig

[tough hatch]

x-intercepts are the points on the graph of f that lie on the x-axis

[nimble meteor]

yeah I did

[tough hatch]

so if y can never be 0

[alpine sable]

So you solved it?

[tough hatch]

then f has no x-intercepts

[alpine sable]

Factor that quadratic

[nimble meteor]

I solved the previous one

I have another question now

[nimble meteor]

oh ok

nice

thanks

[alpine sable]

wdym previous one

you posted the same function

[tough hatch]

yeah, but two different questions

first one was never asked

[nimble meteor]

correct

I originally thought to myself wait a minute if a function has a horizontal asymptote which is the x-axis it isn't even possible for it to have an x-intercept

but then I realized that it can actually cross horizontally for some reason just not vertically

@alpine sable

[rigid smelt]

it having a horizontal assymptote does not actually mean it doesnt have x-int

unless on a particular case where the horizontal assymptote is the x-axis itself

[nimble meteor]

of course that had to be my case

lol

[night ice]

Whats the formula for angle of a sector

[alpine sable]

wdym

[tough hatch]

if f(x)!=0 for all x then no x-ints

[nimble meteor]

pi times r squared times x/360

where x is the angle

[rigid smelt]

no, i mean all im saying is that your statement is very broad

[night ice]

I mean how to find angle of sector

[nimble meteor]

wait no

[alpine sable]

wdym angle of a sector

[nimble meteor]

x/pi r squared equals angle over 360

that @night ice

[night ice]

Thanks

[nimble meteor]

np

[nimble meteor]

did you mean to do factorial lol

[alpine sable]

in text that means not equal to

[ocean seal]

!superficialsicko

[nimble meteor]

ohho ok

lol

your name itself had that so I thought you were a factorial obseser

yes I just created that name

[alpine sable]

hm what

oh the exclamation mark

just sets you higher in the member list

[fringe robin]

pls help

[gritty aspen]

did you manage to find the indef integral to begin w? @fringe robin

[cinder wedge]

I solved a problem from the International Math Olympics which took me 2 weeks to complete yees: D

such a good feeling

[alpine sable]

Anyone know matrices?

I kid you not, this question has been UNABLE to be answered by, probably over 30 people. Part A

There will be -5 surprise if no one can answer this with an explanation

wydm -5 surprise

also #calculus is a better place

I'll have a look onto it tho

Negative 5 surprise

Thanks matey

whats the negative 5 contribute to

Nothing ignore it

you got a point system or smth

alright

Reposting

[viral jungle]

1 minus infinity is infinity, right?

[remote heron]

no

its negative infinity

[viral jungle]

okay, thank you!

[alpine sable]

You got this question surely

[alpine sable]

I'm Dming you

Can someone pls help me

@alpine sable check Dms

if you hadn't already

[alpine sable]

Ok

😭

Wouldn’t it be cos?

what?

wdym cos

Cosine

Yeah I mean't as in

what about complementary sine (cos)

idk

[junior rock]

who here know combined functions

im trying to answer this

[alpine sable]

@alpine sable ?

@alpine sable cos45 = x/8*root2 x = cos45*8*root2 x=8 8*11*14 = 1232in^3 Now let's find out the bottom of the triangle tan45 = 8/x x = 8/tan45 x = 8 (8*8)/2 = 32in^2 32in^2 * 14in = 448in^3 448in^3 + 1232in^3 = 1680in^3 volume = 1680in^3 now you do the surface area

so that’s the volume right?

yes

ok lemme try surface area

Do you understand how I got it?

I’m reading it rn

You just have to memorize soh cah toa

sin = opposite / hypotenuse

I’ve done that like months ago but never used it to find surface area and volume

So that’s why I was confused

Ok I’m confused on how to find SA

I know the formula is 2B+Ph

For prisms

But what wld I plug in

For surface area, you find the surface area of the cross section and multiply it by the depth

and add the area of the cross section itself (don't forget there are two of them)

I thought it’s 2B+Ph tho

I haven’t learned anything regarding cross sections

I don’t even see a cross section either

[fringe robin]

nvm bruv got it using lebinitz

[alpine sable]

By cross section I mean the face closest to the camera

what’s a camera

I haven’t learned that EITher-

5 2/3 - 2 3/4

Anyway I can get some help on some homework questions, it’s about binomial theorem and combinations

[alpine sable]

Can someone help me with the surface area for this

Idk what to plug in

[undone dock]

Just take it step by step

You can find the area of the slanted rectangle fkrst

[alpine sable]

I’m only familiar with S=2B+Ph

[undone dock]

Which would be 14x8sqrt(2) inches

[alpine sable]

no not area. Surface area

[undone dock]

And just solve each rectangle

[alpine sable]

I just need to plug specific numbers in this formula: 2B+Ph

[undone dock]

S area

[undone dock]

Yea ik

Just add the areas together for surface area

[alpine sable]

Couldn’t I just plug in everything in the formula

[undone dock]

Oh yea you could

[alpine sable]

Could u tell me what to plug in then

What does the P stand for in that formula?

Pereimetwr

Perimeter

Yes, so figure out the area of the base, multiply it by two then add the perimeter multiplied by the height

What 2 numbers wld I multiply tho

To find the base

By the base, it means the 2D square and triangle, so you would do 8*11 for the square and since we previously worked out the triangle was 8 inches, you can do 8^2 / 2

So 88 and 32

so the base is 88 inches^2 + 32 inches^2 = 120inches^2

Yes

So

120

Yes

Now we multiply by 2?

Yes

So 240

Yes, now you figure out the perimeter of that same 2d shape and multiply it by the height

and you add it to 240

The height is 14 right

Yes

What abt the perimeter? I’m confused on that

The perimeter of a shape is just the total lengths of all of its sides

so imagine if you had to walk around the shape, how far would you have to travel? That's the perimeter

ik but like

What numbers wld I add

We know the top is 11, we already figured out the triangle's base is 8, so therefore the bottom is 18 (8+10)

and we are given the lenght of the hypotenuse of the triangle(8 * sqrt(2)) and the left side w worked out before is 8inches

so you add all of these to get the perimeter

So 11+

18(8+10)

?

Sorry I was ask

AFK

Would I add 11 twice

Sorry I’m gonna brb rq but we’re so close to the answer

no, sorry. I'll tell you the answer, the perimeter is 27 + 8 * root 2 inches

times that by 14 to get 536.39...

then add 240 inches to get 776.39 which is 776.4 rounded

[minor arch]

What does a \ mean in terms of set notation? Like the following is a union of gen[I] and the things inside the parentheses, which includes \:

@ me otherwise I won't see, thanks

[sly mantle]

@minor arch set difference

$A\sm B:=\brc{x\in A:x\notin B}$

[ocean seal]

RokabeJintaro

[minor arch]

As in the difference in each element in the sets? I.e. the first element of set A minus the first element of set B and so on?

Or is it the elements that aren't in both sets?

[sly mantle]

there's no such thing as 'minus' on elements of general sets

see the definition in the latex

[minor arch]

So it's the set of elements that are in A but not B?

[sly mantle]

yes

[minor arch]

I see. So if set A = {1, 2, 3, 4, 5} and B = {2, 3, 4, 5} then A \ B = {1}?

[sly mantle]

yes

[minor arch]

Ok cool thank you!

[sly mantle]

you're welcome

[minor arch]

@sly mantle Follow up question. What does 8.2 mean in the picture?

The big U is that the sum of unions?

[sly mantle]

we don't call it a sum

[minor arch]

What do you call it

[sly mantle]

we call it a union of a collection of sets

[minor arch]

Ah that makes sense

So it's the union of all the sets in[succ[j]] where j is the limit? I.e. it goes from 1 to J?

[alpine sable]

Sorry I was afk- I think ur right and Tysm for guiding me through. I appreciate it a lot

[minor arch]

Or is it from j to i

[sly mantle]

it's the union of all sets in[j] where j takes on each value in succ[i]

[minor arch]

Ohhhh like that

I see

Thanks!

[sly mantle]

no prob

[plucky crow]

@sly mantle

r u any good with projectiles

[sly mantle]

please don't ping individuals for help

[plucky crow]

my b

[sly mantle]

if you have a question just ask and wait for help

[viscid lava]

Hello, I have a quetion about inverse functions. Let's say I have function defined on the intervals for exapme

f(x) =   3-2x for x>=1

Is this going to be just like this? :

f^-1(x) = -x+2 for x < 1
          -1/2(x-3) for x >=1 ```
I don't know if these intervals have anything to do with it, can I just rewrite them one by one without changing the order? I mean the situation where the inverse functions of the first part would be for x>=1(-x+2) and the other inverse part would be for x < 1 (-1/2(x-3))

[wraith cairn]

no it would turn into y< 1 and y>=1

you'll have to change it to the respective x though

some algebra and stuff.

try graphing it first.

[native temple]

Where did I make a mistake?

[viscid lava]

These intervals here are mind blowing, I don't know, is it has to do something with a fact whether a function is decreasing or increasing?

[alpine sable]

Does anyone know the answer for this

[native temple]

active question...

@alpine sable

[alpine sable]

Wait what

xd

[little fossil]

halp

[native temple]

#help-0 message

help

[native temple]

That’s easy

[undone dock]

What don't you understand?

[alpine sable]

Given a normal distribution with = 83 and = 16, find the probability that X assumes a value less than 80 = _____
Note: Round off your answers to the nearest ten thousandths (4 decimal places)

[little fossil]

everything

[alpine sable]

I don't know how you make it an active question >.>

[little fossil]

all i know is you have to replace n

[undone dock]

Just plug in a₁ into the formula to fond a₂

ans ghen plug in a₂ to find a₃

[little fossil]

oh

like this?

[undone dock]

Yea

[little fossil]

got this 😦

[undone dock]

That means that the fifth number in the series is 3 times the previous number

You need to solve from the begining

[native temple]

@little fossil

this

How to solv

[undone dock]

using the formula
a₁ = 5

a₂ = 3a₁
a₂ = 3(5) =15

[native temple]

Even gave explicit formula

[little fossil]

ohh

[undone dock]

just contunue that

[little fossil]

so you add?

5+5+5

[ocean seal]

Nerdy_Coder

$$ An = 3A(n-1) An = 5*3^n-1$$

[undone dock]

you multiply by 3 every time

[little fossil]

because its asking for a3?

[native temple]

sigh let me try again

[undone dock]

the sequencr goes 5 15 45 135...

[native temple]

$$ An = 3An-1 An = 5*3^(n-1)

[little fossil]

dollar signs?

[native temple]

$$ An = 3An-1 An = 5*3^(n-1)$$

[ocean seal]

Nerdy_Coder

[native temple]

Why can’t I raise 3 to N-1?

[little fossil]

you're asking me?

[native temple]

@undone dock Can you fis that for me?

[undone dock]

you need ro use {} instead of() i think

[native temple]

$$ An = 3An-1 An = 5*3^{n-1}$$

[ocean seal]

Nerdy_Coder

[little fossil]

wait so this would be 108

[native temple]

there it is

let me check

[ebon ether]

In a right angle triangle, what is always the largest ratio? (trigonometry)
a. Cosine
b. Sine
c. Tangent
d. It depends on the measurements of the sides

[undone dock]

no

[little fossil]

12 times 3

[native temple]

@little fossil That’s a arithmetic series

[little fossil]

36 times 3 is 108

bro what

[native temple]

not a geometric one

[little fossil]

:/

[undone dock]

think about it

[ebon ether]

i use everything, I have test tomorow, i am just getting ready

i don't understand that

[little fossil]

how many series are there

[undone dock]

if you have a righr triangle with angle x, cos(x) and sin(x) goes between -1 and 1, while tan(x) goes between -∞ and ∞ depending on the value of x

[undone dock]

but this is a different question so its a different series

[little fossil]

does the second equation matter?

[little fossil]

oh

[native temple]

@little fossil

wrong one

[undone dock]

in this series, a₂ would be a₁+5 and a₃ wohld bs a₂+5

[native temple]

$$ An = 12+(5*n-1)$$
$$ A3 = 12+5(2)$$
$$A3 = 12 + 10$$

[ocean seal]

Nerdy_Coder

[native temple]

explicit formula

[little fossil]

does that bot give answers

[native temple]

no I figured out the explicit formula

That can find any term

[little fossil]

wait so what do you replace n with

[native temple]

nothing

[undone dock]

@little fossil just plug in the value of a₁ whixh is 5 into the formula to find a₂

[native temple]

oh I replaced an with

5(n-1)

[little fossil]

so here I'd plugin n with 13

[undone dock]

thibj abiut it

you know a₁

[native temple]

to find explicit formula take this

$$ An = An-1 + 13$$

[ocean seal]

Nerdy_Coder

[native temple]

notice the patterm

[little fossil]

ya

[native temple]

It’s the previous term + 13

[undone dock]

and the formula says a₂ is a₁+13

[native temple]

what is A1?

[little fossil]

0

[ebon ether]

so it's basically d?

[undone dock]

yep

[undone dock]

so whats a₂

[alpine sable]

is any1 good at statistics? I kind of need help.

[little fossil]

12

is a2

i think

[native temple]

if A1 == 0 that means the formula is

$$ An = 13 * n-1$$

if An = 13 * n

A1 = 13

[ocean seal]

Nerdy_Coder

[undone dock]

whats 0+13

[little fossil]

13?

[undone dock]

yea

[little fossil]

😱

[native temple]

see @little fossil

[undone dock]

so a₂ is 13

[little fossil]

wait but

isn't a1 0 or 13

[native temple]

@undone dock I explained it

[undone dock]

use this to find a₃

[native temple]

I found the explicit formula

@little fossil See my texit?

See it

[little fossil]

yeah

[undone dock]

a₁ is 0 a₂ is 13

[little fossil]

a3 would be 25?

[native temple]

Do you understand if so tell me what I said @little fossil

26

13(3-1)

[little fossil]

0=0-1+13

[undone dock]

a₃=13+13=26

[native temple]

no 0 = 13(1-1)

[little fossil]

how do you get 1-1

becuase a1?

[native temple]

n = 1 - 1 = 0

[little fossil]

ohhhh

[native temple]

13(0) = 0

a3 = 13(3-1)

n = 3

-1 = 2

26 = 13(3-1)

[little fossil]

what would be the steps to solve it like the formula

[native temple]

And that can extend to A100 = 13(100-1)

[native temple]

I just showed multiply 13 by N-1

[little fossil]

that's what i understand

[native temple]

1-1 + 13?

[native temple]

oh

[little fossil]

n is 1

[native temple]

uhh 01?

and that’s 13

no 0

[ebon ether]

does anybody know this one. I got so confused

[little fossil]

wdym

mb

[native temple]

0 + 13 = 13

[little fossil]

would this get me a2?

[native temple]

yea

[little fossil]

-1+13 is 12 right?

[native temple]

sorry no

if A1 == 0 that means the formula is

$$ An = 13 * n-1$$

if An = 13 * n

A1 = 13

[ocean seal]

Nerdy_Coder

[native temple]

post in texit what you understand

[little fossil]

do you have to add the one?

[little fossil]

how to do that

[native temple]

no

Iph

[little fossil]

iph?

[native temple]

Uhhh

look at pinned messages in texit

but keep posting screenshots

i’ll
help you

[little fossil]

my eyes

[native temple]

To create a function you have to find a pattern

I noticed you keep adding 13 tp the terms

multiple addition can. be represented as multiplication

but the 1st term os 0 so

you to an = 13(n-1)

the a1=0

and a2=13

to prove this works look at this number theory

[little fossil]

Like this?

[little fossil]

wa

[native temple]

no

a1 = 13(n-1)

n is the term

or the number next to a

[little fossil]

what does n equal to

[native temple]

what term are you looking for?

the 1st term?

[little fossil]

a2

[native temple]

2nd n = 2

[little fossil]

OHHH

lol

but that'd be good for a1?

[native temple]

$$ An = d(n-1)$$

$$ An = An-1 + d$$

$$ A2 = A1 + d$$

$$ An = A1 + d(n-1) $$

$$ An = An-1 + d $$

$$ An = A1 + d(n-1)$$

$$ An = An-1 + d$$

$$ An = A1 + d(n-1)$$

or

$$ An = d(n-1) $$

if A1 = 0

$$ A2 =

[ocean seal]

Nerdy_Coder

$$ An = d(n-1)$$

$$ An = An-1 + d$$

$$ A2 = A1 + d$$

$$ An = A1 + d(n-1) $$

$$ An = An-1 + d $$

$$ An = A1 + d(n-1)$$

$$ An = An-1 + d$$

$$ An = A1 + d(n-1)$$

or 

$$ An = d(n-1) $$ 

if A1 = 0

$$ A2 =
```Compilation error:```! Missing $ inserted.
<inserted text> 
                $
l.78 \end{document}
                   
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.```

[native temple]

$$ An = d(n-1)$$

$$ An = An-1 + d$$

$$ A2 = A1 + d$$

$$ An = A1 + d(n-1) $$

$$ An = An-1 + d $$

$$ An = A1 + d(n-1)$$

$$ An = An-1 + d$$

$$ An = A1 + d(n-1)$$

or

$$ An = d(n-1) $$

if A1 = 0

[ocean seal]

Nerdy_Coder

[little fossil]

whats d

[native temple]

Common difference the number the sequence is added subtracted by

@undone dock My number theory good?

[little fossil]

what's an

[native temple]

$$ An = d(n-1)$$

$$ An = A(n-1) + d$$

$$ A2 = A1 + d$$

$$ An = A1 + d(n-1) $$

$$ An = A(n-1) + d $$

$$ An = A1 + d(n-1)$$

$$ An = A(n-1)+ d$$

$$ An = A1 + d(n-1)$$

or

$$ An = d(n-1) $$

if A1 = 0

[ocean seal]

Nerdy_Coder

[native temple]

An is any inputted term

so even term googol

os here

[undone dock]

yea

[little fossil]

what would d equal in the problem

[native temple]

13

[little fossil]

but 13 is at the end

oh

so we carry a1 over

wait so when solving this

we change an to equal a1 right?

or that equation gives you the answer to 0

[native temple]

can you find the explicit formula?

@little fossil

[little fossil]

what does that mean

[little fossil]

kinda confusing lol

[native temple]

how

it’s a cornell note

[little fossil]

my leftover brain cells

[native temple]

so look at the summary section at the bottom

[little fossil]

okie

Arithemitc is adding and sub

and geometric is multiplication

so this is arithemic

[native temple]

yes but do you under what a explicit definition is?

[little fossil]

a formula

[little fossil]

its too bright

[alpine sable]

damn you written an entire page defining what an explicit function is

[slender yew]

How can I solve it the easiest way

my bad one is x-3

[alpine sable]

which

in the denominator?

cause any "one" could be anything

[undone dock]

Then 1/x<0

[native temple]

@little fossil

[native temple]

It’s called notes.

[little fossil]

oh i see

[undone dock]

So x would have to be less than 0 for 1/x<0

[little fossil]

the formula is an=an-1+ somethign

to get to the next term

[native temple]

if it’s recursive

[alpine sable]

Why are you talking about Fibonacci and rabbits in the top left corner of the page

[little fossil]

lol

[rich heath]

Hi! I'm trying to figure this derivation out. I read that the general formula for a family of curves that pass through two points (a and b) is S + λL=0

I know that S is the eq of the curve like for a circle it'd be x²+y² etc etc, the book mentioned that L is a "line".

I have these questions:
What line is L? Is it the line that joins a and b? What does λ do?

How does one arrive at such an abstract equation like S+λL=0? For a circle I tried taking two points and a third locus and then finding the eqation of the circumcircle that circumscribes the triangle formed by a, b and the locus point but it is Tedious™ and I want to know if there's a simpler method than just brute forcing this with the distance formula

(The book I'm mentioning here is my professor's notes and it doesn't have any other info about this)

[little fossil]

Can you please show how you would find a2 and a3 so i can use those as notes to solve the rest maybe that would help

[alpine sable]

I have low iq and i forget how i do a fraction reduction can someone help me at this question

[little fossil]

like the steps

[native temple]

It was in the lesson

[native temple]

By finding A1

then using the formula

to find A3

easy fond A2

and so on

[little fossil]

no like solving it

[native temple]

to find the explicit formula

to make this potentially easier

?

you mean?

[little fossil]

like to get a2 and a3

like how you would solve the answer

i can use that to do the rest

[native temple]

inputted A1 into the formula thst’s a2

to find a3

input a2

into formula

tp find a4

input a3

to find a5.....

[little fossil]

i mean like that but for this question

[native temple]

same thing

3 is multiplied by A(n-1)

now if you don’t understand implicit multiplication we have another problem

n is the term

so a2 = a1*3

[little fossil]

ima try again

so if we want to find a2

we do a2-1+13?

[native temple]

yea

[little fossil]

wait really???

[native temple]

yes

[little fossil]

i actually got it

0-0

so a2 is 14

[native temple]

explicit definition of another problem

find it

[little fossil]

wdym

[native temple]

screenshot another problem and find it’s explicit definition!

[little fossil]

I'm doing ixl lol

[undone dock]

just find the area

[little fossil]

oh shoot

i got it correct!

[ancient creek]

Find the areas of each shape, then add em up. That'll give you the surface area

[little fossil]

@native temple one last thing does this mean anything?

[undone dock]

draw a right trianglr with hypotenuse 10km and side legnyh 8km

use pythagoras to find the last side

a

right triangle with height 3000m with an angle 86 degrees

find hypotenuse using cos function to find hypotenuse

yea

[ruby pilot]

need help with ex. 1

[glass lichen]

how is the y-int -4?

[hazy pine]

yeah

[glass lichen]

yes

[hazy pine]

yes

[granite vortex]

Yup

That’s right

Pretty sure 🤔

[sleek dust]

Yep, its right. The equation of a line is y=mx+a, where m is the slope and a the intercept with the axis. You only have to identify the coefficients 🙂

[narrow basalt]

I was reading a textbook and I want to know what the exclamation mark is there for

[prime badge]

the exclamation mark is there for a factorial

[narrow basalt]

what is a factorial

[bold cradle]

n! = 1 x 2 x … x n

[somber spoke]

it's right

[narrow basalt]

Thank you

[narrow basalt]

Thank you

[somber spoke]

i was trying out this youtube problem

where 3/m is the simplest fraction and n is an integer greater than 0

https://youtu.be/C8M_ErBgCV8

i understood the solution up until it says 5m+3 can only be 2 or 38

can someone help me out, thanks

solution starts at 1:19

[glass lichen]

m doesnt divide 5m+3, so either 5m+3=2 or =2*19

as the RHS only has 2*19*m as factors

and 5m+3 has to be even by parity (which eliminates 5m+3=19)

[somber spoke]

by not divide does it just mean that m/5m+3 cannot be simplified

[glass lichen]

m isnt a factor of 5m+3

[worldly breach]

idk if this is asking for volume oor surface area?

[glass lichen]

,rotate

[glass lichen]

are you going to fill the hat with paper?

[worldly breach]

no

it says how much paper is needed

[glass lichen]

then you need the surface of the cone

not the volume

[fringe lantern]

yo

am i right in saying

the equation for this

is

y = 2(1/2)^x - 4

?

[blazing gust]

Can somebody help

This is wrong and some people said it was right

[topaz cipher]

I think you're only supposed to put the answers in there, i.e. for the first one just "4". Not the whole function

[blazing gust]

Oh ok

[carmine ermine]

Nope

the y-intercept is -2

Oh

If ur gonna do that

then put in parenthesis

(x - 4)

Oh wait nvm

💀

it's (x - 1)

[dim vine]

How do I do this question

So I can have it that n=120 x=0 and p= q%

dw... i think I've got it

[vale mountain]

nice !

[summer warren]

can someone help me?

<@&286206848099549185>

[gray isle]

what have you tried?

[summer warren]

dunno

that’s why im asking for help

[gray isle]

how much trig have you been taught?

[summer warren]

what’s trig

im grade 8

[gray isle]

abbreviation for trigonometry

[wanton dune]

how could i factor x^3 + 5x^2 + 6x, and which technique should i use?

[alpine sable]

can someone help with this

[untold warren]

how much does the value go up by

[jagged compass]

hey

im new to this server

can someone help me with quadratics?

grade 10

applied math?

[alpine sable]

Anyone on?

[civic elbow]

Hello, does anyone know what to do? I am completely stuck its a hw assignment

[little fossil]

How does this work?

[wraith cairn]

a3 = 2a2+2a1

a4 = 2a3 + 2a2

etc

[jagged compass]

can anyone helo

help

[little fossil]

wdym

[gray isle]

plug n=3 into a_n to get a_3

[little fossil]

I don't get it

[gray isle]

you are given the general term a_n right?

[little fossil]

it'd be 3 times 2 = 6

3 times 2 =6

would a3= 12?

[gray isle]

no

[little fossil]

oh

[gray isle]

how are you getting 12

[little fossil]

prev number

so 3 times 2

6

prev number x2

3 times 2

[gray isle]

why are you doing 3 times 2
two times?

[little fossil]

idrk

[gray isle]

you are given an equation for a_n

sub n=3 into that equation,
do nothing else and tell me what you have

[little fossil]

where do you see n=3

an?

oh

i see

so swap the n with 3?

[gray isle]

yes...

[little fossil]

both?

i get 2a2+2a1

[gray isle]

and you are given a_2 and a_1

[little fossil]

ya

so what does that mean

[gray isle]

sub those values in

[little fossil]

sub a?

[gray isle]

whut?

[zenith bough]

Why? Makes 0 sense

[gray isle]

sub a_2 and a_1

with the given numerical values

[little fossil]

wdym by that

[gray isle]

do you know what substitution is?

[zenith bough]

<@&286206848099549185>

[little fossil]

yeah

but idk what I'm subbing for

[gray isle]

substituting $n=3$ gets
$$a_3 = 2a_2 + 2a_1$$
right?

[ocean seal]

ℝamonov

[gray isle]

yes/no

?

[little fossil]

wait

what

I see what you're saying

but what does 2a2 equal to?

like what would you get from solving that

[gray isle]

you are given the value of $a_2$ right?

[ocean seal]

ℝamonov

[little fossil]

yea

2

so replace a2 with 2?

and solve?

[gray isle]

you are also given the value of $a_1$ right?

[ocean seal]

ℝamonov

[little fossil]

yeah

3

so

it'd be

2 times 2 is 4

3 times 2 is 6

6+4=10

and 3a = 10?

[gray isle]

no

what's 3a

$a_3$ is represented by \verb|a_3| in plain text, represents the third term in the sequence and is not to be confused with the product of $a$ and $3$

[ocean seal]

ℝamonov

[little fossil]

from the way i see it is 10

i'm not really sure

because if we do 2(2)

4

2(3)

6

add them and get 10

I'm just thinking that you have to multiply then add

[gray isle]

yes...

$a_3 = 2a_2 + 2a_1 \
a_3 = 2\cdot2 + 2\cdot 3 = 4+ 6 = 10$

[ocean seal]

ℝamonov

[little fossil]

so a3 is 10?

[gray isle]

yes...

[little fossil]

lol

so to get a4

you do the samething?

and so on?

[gray isle]

yes

[little fossil]

o okie tysm

[gray isle]

btw use _ to denote subscripts

[onyx plaza]

guys when multiplying variables would xy and yx be considered like terms or no?

im guessing no

[little fossil]

oh okie

[gray isle]

$xy = yx$

[ocean seal]

ℝamonov

[little fossil]

@gray isle would this change anything becuase of the negative?

[gray isle]

no

same princliple

[little fossil]

o okie

[gray isle]

you are given the general term

sub in the desired value of n

[little fossil]

is there a fast way to do this?

[gray isle]

with enough effort you could get an explicit formula

(or use a computer)

[little fossil]

what app lmao

[gray isle]

excel is sufficient

but if you only want the first few terms, subbing is good enough

[little fossil]

excel?

[gray isle]

microsoft excel? spreadsheet?

[little fossil]

ohh

cost money 😦

[gray isle]

google sheets is free

[little fossil]

oh

you got a calculator that gives you the answer too these problems?

because ixl is bad

[floral jungle]

can anyone help with this?

[glacial hedge]

guys am i stupid

i setup the integral to be

$\int _0^3\int _{y-1}^{5-y}:x+ydxdy$

[ocean seal]

Elonmosqito96

[glacial hedge]

and i get 27

which isnt part of the answers? what did i do wrong in setting it up?

dude

[little fossil]

what

y

[gray heart]

do i use cos, sin, or tan?

[glacial hedge]

use sin to find y

then use tan to find x

[gray heart]

how do you know?

@glacial hedge

[viral patio]

are you familiar with SOH CAH TOA?

[gray heart]

idk what i means

[glacial hedge]

tf

[viral patio]

it's an acronym, so a way to remember when to use sin, cos, or tan:
O = Opposite, A = Adjacent, H = Hypotenuse
SOH means Sin(x) = Opp/Hyp
CAH means Cos(x) = Adj/Hyp
TOA means Tan(x) = Opp/Adj

[gray heart]

oh i know that

didn’t understand the acronym though

[viral patio]

so let's start with finding x.
if we have the 60 degree angle, we can label all the sides with hyp, adj and opp

[gray heart]

ok

why do we use tan?

why not sin or cos?

[viral patio]

you only use tan if you don't have the hypotenuse or don't care about the hypotenuse

so we're interested in finding x (for now, we don't care about y)
of adj, opp and hyp, which do we have or want?

[gray heart]

we have hyp?

and want adj

[viral patio]

so if we have hyp and want adj, what can we use?

[gray heart]

Cos?

but thats not tan

[viral patio]

👏
go for it

i'm not talking about tan

[gray heart]

ok whatever

thanks

[viral patio]

once you've found x, you can use either tan or sin to find y

[gray heart]

Is the answer x = 12?

[viral patio]

what did you put into your calculator?

[slender marten]

You used x = f(y), can just do in x direction between x = 0 and x = 2.

[gray heart]

cos 60 = y/24

[glacial hedge]

lmao im such an idiot, i read y-axis and thought it meant x-axis

[slender marten]

🙂

[viral patio]

yup, looks good

[gray heart]

ok ty for the confirmation

[old pike]

how would i find value of x

[viral patio]

if 6x + 30 and 72 are both equal to g(x), what does that tell us about how they relate to each other?

[old pike]

they both have an x

and we need to find g?

I'm confused about the 2 variables

[viral patio]

gotcha (also please ping/quote-respond to me next time)

here, g is the name of the function, and x is the name of the variable. so you can think of g as a machine that when you put in x, you get 6x+30 out. it's also a machine where you put in x and get 72 out. does that help to understand what "g" is a bit better?

[old pike]

oh so basically I just have to divide by 6 on both sides

which would be x+5?

[viral patio]

you say "both sides" and then given me one side :p

[old pike]

uhh so x+30 = 12?

so would x = -18?

[viral patio]

you had x + 5 earlier...?

[old pike]

yeah because I divided the 30 by 6?

so i thought i was wrong and divided the 72 by 6

[viral patio]

then you also wrote "x+30 = 12" :p

[old pike]

so I just do x+5=12??

lol sorry I'm kinda confused

[viral patio]

there you go

i think i'd like to show you this question step by step if that's okay?

[old pike]

yeah that would be great

[viral patio]

okay, let's take a moment, put everything to the side, and go right back to the very start

[old pike]

okay

[viral patio]

this is our question, we are asked to solve for x, right?

[old pike]

yes

so i would need to isolate x

[viral patio]

hold on a second

[old pike]

alright

[viral patio]

i really want to do this step by step

the great thing about equality is that we can string together a chain of equalities.
(by analogy: if "my dad is john", and "my dad is dead", that means "john is dead", right?)

[old pike]

yes

[viral patio]

okay
now the very key thing here is to actually have the equation
6x + 30 = 72

[old pike]

yes

[viral patio]

that's one thing that we never explicitly say, but it's arguably the most important step, so it's clear that we both know this

[old pike]

yes

[viral patio]

now we are free to isolate x. there's a way to do this where we make fewer mistakes

think of it from the perspective of x. what's happening to it, and in what order?
first you multiply by 6
then you add 30
finally, we got 72

so we should undo these steps in reverse order:
first we started with 72
then we subtract 30
then we divide by 6

[old pike]

oh

[viral patio]

now what you did earlier when you divided by 6 first was not wrong, it's perfectly valid

but it does mean you accidentally write x + 30 = ..., because you forget to divide the 30 by 6

[old pike]

yes

[viral patio]

do you see how this method avoids that?

[old pike]

yeah

thanks for this

I'll use it for other problems related to this

[viral patio]

okay great, sorry if that sounded patronising, it's hard to avoid internet tone

[alpine sable]

is this c?

[modest gulch]

is this section free by chance? ^^

oh

[old pike]

yeah It's all good

[viral patio]

great, let me know if you need more help

[old pike]

okay so just dm if i need? and thank you again

[modest gulch]

if anyone could guide me on this integral

[viral patio]

rather than dm, ping me in a question room, thanks for checking

[modest gulch]

[old pike]

okay sounds good

[viral patio]

what's your method?

[alpine sable]

I believe it is b. actually

[river rose]

Hey, can someone help me with an annuity question? I can't understand what it's asking me and I've done like 4 calculations already that all look wrong

[viral patio]

what's your method?

[viral patio]

what did you do?

[alpine sable]

@viral patioWhy

[viral patio]

i won't just say "yes/no" unless you show me your working out, otherwise you can just check your calculator or wolframalpha or something

[alpine sable]

these functions are always complements of each other. if there is tan30 then the other one must be tan60 because 90-30=

[viral patio]

so you're trying to use tan(x) = cot(90 - x)?

[alpine sable]

Yes

[viral patio]

so what does:
cot(x) = tan(30)
turn into?

[vital prawn]

hey I have a question about polynomials, are x^2 and 4x^2 like terms?
can they be combined?

[viral patio]

yes

[viral patio]

please do not spam the questions channels next time or the moderators may do something

[vital prawn]

alright

my bad

[wanton dune]

hey, could someone help me solve x^3 - 2x + 1 = 0

[hardy garden]

use the rational roots theorem

[wanton dune]

i don't even know what it is about

[mighty lagoon]

anyone able to help me with some questions on Interior and Exterior Triangle Angles

[wanton dune]

and how would i use synthetic division?

[hardy garden]

you would need to guess a root first

which rational roots theorem tells you how to

it says that if the leading coefficient is s and the constant term is r, then any rational root must be a divisor of r divided by a divisor of s, positive or negative

or you can guess a root with ✨ i n t u i t i o n ✨

[wanton dune]

this is already intuition hahaha

is this correct, @hardy garden?

[hardy garden]

,w expand (x^3-2x+1)/(x^2-1)

[ocean seal]

Results provided by WolframAlpha

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

Requested by Kenny Lau#2238

[hardy garden]

looks like x^2-1 doesn't divide x^3-2x+1 unfortunately

[lethal furnace]

yes

[wanton dune]

so how would i do this rational root theorem?

one of the solutions is 1, i know

[glacial hedge]

do you still need help or you got it?

[tribal rampart]

anyone know grade 10 trig im in dire need

[unreal glacier]

Yes, I do.

What do you need help with?

[tribal rampart]

well you see i got a 53 in math and i got one last assignment of multiple choice and if i don't pass that i fail math

[unreal glacier]

Okay, so what do you need help with?

Do you not understand anything?

I can help explain.

[tribal rampart]

no i wasn't there for any notes i had covid

[unreal glacier]

Okay, so what did you get wrong on your test?

[tribal rampart]

i didnt start it yet cause im worried about failing

[unreal glacier]

Okay.

Then what did you get wrong in the test where you got 53?

[tribal rampart]

well i missed two units and got 17 and 18 putting my overall math mark to 53

[unreal glacier]

And what were those units?

[tribal rampart]

lemme check

[frosty ocean]

@magic pine arii ya estas en el server?

[tribal rampart]

factoring i think

[unreal glacier]

Quadratics?

[tribal rampart]

nope i no advanced

[unreal glacier]

Oh, then factoring what?

[tribal rampart]

i dont need help factoring. i need help with trig but nvm my buddy is helping. thanks

[winter mango]

can anyone help me with calculus?

[unreal glacier]

Okay. Have a good day!

[magic pine]

Si

[magic pine]

😄

[winter mango]

anyone good at grade 12 calculus?

[magic pine]

.-.

[tribal rampart]

you too serenity 🙂

[frosty ocean]

🙀

[magic pine]

Saque un F en English 😭🔫

[unreal glacier]

Thanks Fart Crumb! And Triipy, I'm not up to that level yet. Sorry.

[silk coral]

Hey can I get some help on this

[unreal glacier]

Sure!

[unreal glacier]

Quite simple actually.

Firstly:

We can see that 4x+2y equals 180 -70

So 4x+2y = 110

2x + y = 55

[silk coral]

Got it

[unreal glacier]

Now,

We see that x^2 + 3x = 40

[silk coral]

Wouldn’t it be 70?

[unreal glacier]

x^2 + 3x - 40 = 0

A simple quadratic equation.

(x + 8)(x-5)

x must equal 5.

Thus:

y = 45

[tulip sable]

these ones specifically

[unreal glacier]

So the answer is x = 5, y = 45.

[wary stream]

Don't be giving the full solution

Let the person solve it

[unreal glacier]

Oh, sorry.

[wary stream]

You can set it up, like here

But don't fully work it out

[tulip sable]

i really dont understand close to these parts why should it be a proven a perfect square to prove that 8T+1 is a triangular number and all?

[frosty ocean]

Jajaajaj wot

arianna

tienes todos los trabajoos

😭

A mi me faltan 8 :p

oero ya hice coomo 4

o 5

[magic pine]

NAVAJABAJA omg si es cierto 😭🔫

Omg

[prime horizon]

Hi can someone please help? I'm doing geometry and measurement

[unreal glacier]

Yes, I may be able to help.

[prime horizon]

Okay thanks

I just have to do A

[alpine sable]

Rhombus or Square

[prime horizon]

My teacher wants me to figure it out

[white sail]

would anyone be able to help with this?

[oak chasm]

@white sail Tangent gives the slope when the angle is in standard position.

[white sail]

i plugged in (-4)^2 + (-5)^2 = c^2 and got 41 but I don't know what to do after that

[oak chasm]

Do you know how to find slope from two points on a line?

[white sail]

no, sorry

[ocean seal]

Chai T. Rex

[oak chasm]

Have you seen that before?

Like in algebra class?

[white sail]

I have before

[oak chasm]

OK, angles in standard position start at position (0, 0).

So, (0, 0) is one point on the line.

According to your problem, (-4, -5) is another point on the line.

What's the slope?

[white sail]

I do not know actually sorry.

[oak chasm]

Well, do you know which of -4 and -5 is the y value?

[white sail]

-5

[oak chasm]

Right.

[ocean seal]

Chai T. Rex

[oak chasm]

What's the y value of point 1?

[white sail]

-4

[oak chasm]

No, that's in point 2.

Here are the points:
Point 1: (0, 0)
Point 2: (-4, -5)

What is the y value of point 1?

[white sail]

0

[oak chasm]

What is the x value of point 1?

[white sail]

0

[oak chasm]

What is the x value of point 2?

[white sail]

-4

[ocean seal]

Chai T. Rex

[oak chasm]

Fill in the variables and find m.

[native temple]

Active

?

[white sail]

y2 = -5 and x2 = -4

so -5/-4

[oak chasm]

OK, so what does that simplify to?

[white sail]

I do not know sorry

[oak chasm]

What sign is a negative number over a negative number?

[white sail]

a positive

[oak chasm]

Right, so 5/4.

That's the slope of the angle.

The slope is the tangent.

So, the tangent is 5/4.

[white sail]

oh

thank you

[oak chasm]

No problem.