help-0

[final ember]

yes

[stark wadi]

yep

[final ember]

it adds up to 180

[final ember]

is that all?

[stark wadi]

i got another question

one sec

[final ember]

ok

[hidden merlin]

I need help with algebra

[dusty oxide]

I dont know if anyone is good at vectors but here we go, I have: "Type u= [7 5] as a combination of v1=[2 0] och v2= [1 3]"

And I think like the picture I sent below

Is this valid?

[tranquil parcel]

Nice pf bro

[oak chasm]

No.

[dusty oxide]

How to do it 😦

[oak chasm]

2c₁ + c₂ = 7
0c₁ + 3c₂ = 5

[final ember]

:()

[oak chasm]

Solve for c₁ and c₂.

You didn't solve for c₁ properly.

[dusty oxide]

but c2 is right?

[oak chasm]

Yes.

[dusty oxide]

Ok lemme try

It will be half of what I said is c1

[oak chasm]

Right.

[dusty oxide]

But I dont know how to write it correctly :/

[ocean seal]

Chai T. Rex

[oak chasm]

Like that.

[dusty oxide]

Thats not right?

That will be 4

[oak chasm]

What will be 4?

[dusty oxide]

Nvm

or?

[oak chasm]

,w 8/3 {2, 0} + 5/3 {1, 3}

[ocean seal]

Results provided by WolframAlpha

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

Requested by Chai T. Rex#7323

[oak chasm]

Oh!

[ocean seal]

Chai T. Rex

[oak chasm]

Don't forget the u.

[dusty oxide]

This confuses me but I guess it seems right

[oak chasm]

What are you stuck on?

[dusty oxide]

Why it is half of what I solved

Like I know it is because its times 2

But it doesnt like click in my head

[oak chasm]

Because you forgot the 2 in front of c₁ when you rearranged the equation.

[dusty oxide]

Ah 7-5/3 = 2c1?

[oak chasm]

Yes.

[dusty oxide]

So divide it all

Yeah then I get it

Ty

[oak chasm]

You're welcome.

[dusty oxide]

Ill try with my next one ill come back if I dont get it xd

[oak chasm]

OK.

[olive pawn]

I have returned with my idiocy still struggling with variances

[woeful hollow]

Help?

[olive pawn]

Yeah

[olive pawn]

Uploading

[final ember]

do pid

or 2pi r

[blissful tundra]

anybody gonna help with this?

[woeful hollow]

I did

I got 25

[alpine sable]

Some one do my hw

[olive pawn]

Oh I thought that was your solution

[final ember]

no its in terms of pi

so 8 pi

[woeful hollow]

?

Wait

[blissful tundra]

:/

[woeful hollow]

can you write it out for me

[final ember]

terms of pi means that u don't multiply pi\

so its more accurate

[gleaming sandal]

C = 2 Pi r

C = 2 * Pi * 4

[final ember]

than rounding

so 8pi

[olive pawn]

you have to wait a little before binging @ helper

[final ember]

is the answer

[final ember]

b

[woeful hollow]

Oh ok

let me see

and i have one more question then I can check my answeres

[final ember]

ok

[final ember]

oks so 1st x.

x is easy because it adds up to 90

[woeful hollow]

I got that far

[final ember]

sp 5x+4x=90

so x=10

[woeful hollow]

Kk so its eaither A or D

[final ember]

ok so u plug in 9 for 5x

45

and because (10y+10) is supplamtery to 5x it equals 180

so

[final ember]

180-(10y+10)=45

@woeful hollow

[woeful hollow]

But there is no 45

for the y

[final ember]

see the 5x?

[woeful hollow]

yes

[final ember]

o wait sorry not 45

50

[alpine sable]

How old are u @woeful hollow

[final ember]

we plugged in 10 for x

[woeful hollow]

the highest is 40

[final ember]

no i mean for solving

[woeful hollow]

OH

[final ember]

we still haven't solved for y

[woeful hollow]

ok do I need to do the same for 4x?

[final ember]

no

[woeful hollow]

5(10)

50

Ok

[final ember]

because 4x is irrelevant to solve for y

[woeful hollow]

ok

[final ember]

180-(10y+10)=50

ok solve that for y

[woeful hollow]

Give me a min

30 sec

[final ember]

k

[woeful hollow]

12?

[final ember]

d is ur answer

[woeful hollow]

Thx

[final ember]

np

[woeful hollow]

Ill let you know what I get

🙂

[final ember]

ok

: )

[woeful hollow]

thank you again

10/10

You are a life saver

[final ember]

nice

[gleaming sandal]

Hey. Super hard question but maybe someone can help me… ty in advance.

You need to find HORIZONTAL ASYMPTOTE of this

[blissful tundra]

nice

[final ember]

just remember about complementary and supplementary angles

[jaunty wave]

Can someone tell me if

can be simplified

i figured no

but the markscheme says its x/y

[blissful tundra]

x/y

[alpine sable]

it can.

[gleaming sandal]

You could

[jaunty wave]

haw

how

[blissful tundra]

x(x+y)/y(x+y)

[jaunty wave]

right ok

[alpine sable]

the HA are found by solving that limit specifically.

[jaunty wave]

got mixed by the order

thanks

[alpine sable]

do you have issues solving it?

[gleaming sandal]

Well kinda. It’s an infinity. I was taught to just ignore everything but leading coefficients and thst would be sqrt(x) and 3sqrt(x)

I assume it's 0 since denominator is to a bigger power?

[alpine sable]

be careful.

not sqrt(x) but cuberoot(c)

[gleaming sandal]

oh ye mb

[alpine sable]

wait, why 3sqrt(x)?

[gleaming sandal]

I just wrote it as cubed

[alpine sable]

ah okay

[gleaming sandal]

so cuberoot(x)

[blissful tundra]

-infinity?

[gleaming sandal]

Yeah

[alpine sable]

but yeah, it is 0.

[gleaming sandal]

Is it because of my reasoning?

Or something else

[blissful tundra]

oh yeah

[boreal whale]

help

[blissful tundra]

no cheating on a test

[alpine sable]

yes, though you should consider the coefficients as well, they are part of the terms.

[boreal whale]

its not

a test

[alpine sable]

but as this just turns to be of different powers, it's okay

[blissful tundra]

so limit is 0 right?

[alpine sable]

yeah.

and the HA is 0 as well.

[gleaming sandal]

I see. Thanks

[alpine sable]

yw

[blissful tundra]

help me with this please ;d

[boreal whale]

no cheating on a test

[gleaming sandal]

bruh

[blissful tundra]

bruh x2

[boreal whale]

ok

you called my question a test

[gleaming sandal]

It's an equation

Solve for x

Isolate x on one side

Put everything else on another

[blissful tundra]

<@&286206848099549185>

[high flame]

Wondering how they factor/simplified to get the highlighted result. (Apologies if there were any ongoing questions)

[novel spruce]

they distributed m inside but left 2 outside

[orchid frost]

How do i simplify this fraction? Am i supposed to multiply it by 6? i'm kinda lost

[random helm]

I think you multiply it by 1/6

So 12/13 multiplied by 1/6 maybe

So you would get 12/78

And then simplify 12/78 if you need to

[blissful tundra]

cross out 6

make 12 2

2/13

easy

[latent knot]

please may i get help with my homework question ?

[oak chasm]

@latent knot Do you know how to get watt-hours from watts and hours?

[latent knot]

i got it know thanks for you're concern

[alpine sable]

anyone have good resources that give an overview for math symbols like therefore, iff, union etc?

ive forgotten most of them and need to brush up on it

[jade birch]

try asking in #book-recommendations

[alpine sable]

will do

thanks!

[jade birch]

np

[dusky notch]

Hey guys I’m a little lost figuring out how to calculate the two vectors. What exactly does it want me to do here? In my notes it shows that I subtract one from the other to find the difference, what order would I do it in and why am I doing this? Thanks!

[placid zinc]

P2 - P1 gives an arrow that starts at P1, and goes to P2.

Kind of like how if you want to figure out how many hours from 4PM to 8PM, you do 8 - 4

[dusky notch]

so for the first one, i should get vector P1P2= <1+2, 0-1, 1-3>?

so why dont i subtract P2-P1 instead

what makes me subtract them in that order

[red whale]

hi

so I tried using the pythag and

solving for the opposite for the length of the tree

after using cos to find hypotenuse

bc when I tried to do cot i was getting a very wrong answer

[placid zinc]

@dusky notch
So there's -4 hours from 4PM to 8PM?

[dusky notch]

if i do it first way with <1+2, 0-1,1-3> i get two negative values?

[placid zinc]

That's good!

[dusky notch]

im confused because an ex we did in class shows vector PR, and R subtracts from P

but im confused as to why he did that in the first place

[placid zinc]

Because that's the definition of PR

You have to make sure that you construct every vector the same way, this is the agreed-upon way

[dusky notch]

I'm confused, so it can be done either way as long as I calculate each vector the same way?

[placid zinc]

And calculate it the same way as everybody else, yes

[dusky notch]

so i could do vector P1P2 as <-2-1, 0-1, 3-1> as long as I do P1P3 the same way

[placid zinc]

Why not try a simpler example?
How do you get from (0,0) to (1,1)?

[dusky notch]

i move up 1 over 1

[placid zinc]

Which is (1 - 0, 1 - 0)
And is not (0 - 1, 0 - 1)

Mind you, if you take the negative of that second option, you can get the right direction again

[dusky notch]

how do i know what direction to use?

in the P1, P2, P3 ex

[placid zinc]

Subtract the vectors correctly lol

[open girder]

Trying to do long division- I start with dividing x^3 by x and put the answer of that above the x^2 that's already there at the start, then I am supposed to multiply that x^3 by (X) and then (-1), but that would give x^4 which I would put underneath the x^3, and in my previous notes with examples, the powers didn't end up being added. I don't remember well how these examples were done, anyone know how exactly it works?

[dusky notch]

how do i know which ones to subtract though?

I have P1=(1,0,1) P2=(-2,1,3)

[open girder]

And here's one example I did before

[dusky notch]

do i subtract P2 because it has the lowest value of x?

like what determines which to subtract

[placid zinc]

XY is Y - X

[prime ibex]

hello

[dusky notch]

i dont understand

P1 and P2 both have a value of x and y

[prime ibex]

can some explain this to me

[whole herald]

What's the complement of an angle?

[prime ibex]

yes i dont understand it

[whole herald]

Well

[prime ibex]

but nevermind the admin said no because it is a quiz

[whole herald]

oh yeah

[placid zinc]

@dusky notch
MS is S - M

QA is A - Q

[quartz monolith]

PLZZ HElp its due today plea help idk its too hard plz

[placid zinc]

FirstPointSecondPoint is SecondPoint - FirstPoint

[whole herald]

we can't help w/ quiz questions

[quartz monolith]

its not a quz

quoz

quiz

its homewok

in schoolgoy

shcooloy

schoology

plzzz plz help i cant do this idk its not s quiz its for homewik

[whole herald]

if it's homework then

Have you tried looking for a pattern?

numerically speaking?

[quartz monolith]

well

[whole herald]

For example, step 1 -> 2 tiles
step 2 -> 7 tiles

step 3 -> 14 tiles

[quartz monolith]

i found a lot of@patterns but idk what to do with those patterns except for just write it out 100 times

[whole herald]

right, let me seek for a pattern here

[quartz monolith]

my teachr just put it out ws a trick quesiton bc we didnt learn it yet but i still have to submit it and it doesnt submit it as complete unless i get it right

[whole herald]

you start with 2 blue tiles

then you added 5 more

then you added 7 more

[quartz monolith]

OH

I FIGUR IT OUT

thTHANK U

[whole herald]

2, 2 * 2 + 3, 2 * 2 + 3*2 + 4,

then it should be

2 * 2 + 3 * 2 + 4 * 2 + 5

somehow it is

[quartz monolith]

thank u this wad the only server that helped me i went to like 15 servers

[whole herald]

wow haha

np but I haven't done anything

you just figured it out yourself

Now I'm trying to understand it

$\text{step 1: } 2\
\text{step 2: } 2 * 2 + 3\
\text{step 3: } 2 * 2 + 3 * 2 + 4\
\text{step 4: } 2 * 2 + 3 * 2 + 4 * 2 + 5$

[ocean seal]

kvictor

[whole herald]

for n steps it would be

[alpine sable]

is 2.4545 (last 45 is repeating) a rational number?

[whole herald]

f(n) = 2[2 + 3 + 4 + ... + n] + (n+1)

$f(n) = 2 \frac{(n-1)(n + 2)}{2} + (n+1)\\
f(n) = (n-1)(n+2) + (n+1)$

[ocean seal]

kvictor

[whole herald]

trying for 1

f(1) = (1 - 1)(1+2) + (1+1) = 2

for 2

f(2) = (2-1)(2+2) + (2+1)
f(2) = 4 + 3 = 7

for 3

f(3) = (3-1)(3+2) + (3+1)
f(3) = 10 + 4 = 14

so it's working

f(100) = 99 * 102 + 101 = 990 + 99 + 99 + 101 = 200 + 999 + 90 = 290 + 999 = 289 + 1000 = 1289

f(100) = 1289

[whole herald]

yes

every periodic tithe is a rational number

because you can write them as: a/b

following these steps:

[alpine sable]

omgg tysmmm

[whole herald]

$\text{1 : } x = 2.4545...\
\text{2 : } 100x = 245.4545...\
\text{3 : } 100x - x = 245.4545... - 2.4545...\
99x = 243\\
x = \frac{243}{99}$

[ocean seal]

kvictor

[dusky notch]

@placid zinc does this look right?

also when it says calculate the area for 2c, does this mean just take the length |P1P2xP1P3|

[alpine sable]

Could someone explain the concept of plane geometry ?

[whole herald]

I'm pretty sure it is Euler's Formula

for convex polyhedra

yep

[alpine sable]

can i get a visual representation?

[whole herald]

I only know some brazilian books that demonstrate that formula

sorry

[alpine sable]

help please

[bleak nacelle]

what is a y intercepts?

[queen owl]

could anyone help me with this homework problem?

[glass lichen]

the y value of a function when x=0

[bleak nacelle]

thanks

[wispy hull]

@bleak nacelle

[bleak nacelle]

?

[wispy hull]

@placid zinc

[placid zinc]

@queen owl
Consider putting x^(-1) into the definition of the derivative, and see what you get

[wispy hull]

@placid zinc

[queen owl]

Our teacher has us solving these problems without using derivatives yet... Is there anyway to work around this?

[glass lichen]

algebra

[placid zinc]

@dusky notch
Sorry I got busy. That all looks correct!

[glass lichen]

and solve the limit explicitly

[charred flint]

you either use the definition of derivative or definition of e 🙃

[placid zinc]

@queen owl
Ah sorry. In that case, multiply top and bottom by 5(5+h) to clear nested fractions

[charred flint]

oops u right mosh

[placid zinc]

You'll get:
5 - (5 + h) all over 5h(5 + h)
Which should simplify nicely

[gleaming sandal]

Hey. Curious about it too, Did you end up answering it

[queen owl]

Im following Kaynex instruction rn

ill let you know what i get

@placid zinc I keep getting undefined. once it is simplified I return to plug in zero, but it is still in the denominator

[gleaming sandal]

You should apply exponent rule

It will help

[placid zinc]

@queen owl
So you got what I posted? Try simplifying a bit

[queen owl]

yes I had done that with the two in the top

[placid zinc]

Should be able to cancel h somewhere along the line

[gleaming sandal]

So you got this?

[glass lichen]

<@&268886789983436800>

[gleaming sandal]

@queen owl ?

[placid zinc]

Sed

[sly mantle]

👢

[queen owl]

wtf

[glass lichen]

b& cause you didnt do it

[placid zinc]

Sorry wazman had to call mods on you

[dreamy cedar]

What happened?

[queen owl]

all good lol

[sly mantle]

use of n-slur

[dreamy cedar]

Oh roketto already banned

[glass lichen]

ye

[sly mantle]

yes

[gleaming sandal]

@queen owl dude did you get this?

[queen owl]

yes i had gotten there

make common denominators for the top

5 (h +5)

[gleaming sandal]

ye

[queen owl]

I just cant get them to cancel without a zero in the bottom. :/

any luck @gleaming sandal

[gleaming sandal]

Yeah

[glass lichen]

$=\frac{5-(5+h)}{5h(5+h)}$

[ocean seal]

Mosh

[gleaming sandal]

What stage are you in

[queen owl]

the one mosh just sent

[glass lichen]

numerator simplifies to what?

[gleaming sandal]

So you multipled right side by (5+h) and left side by 5

?

So the denominators are the same

[placid zinc]

Distribute -

[queen owl]

ya

[tranquil saddle]

can someone explain continuous and discrete for me?

[placid zinc]

Continuous - Exactly as it sounds
Discrete - Possible values come in disconnected bits

[hexed magnet]

Discrete = step wise

[merry iris]

continuous means one continuous line and discrete means broken up into pieces

[tranquil saddle]

so would this be continuos or discrete?

[merry iris]

what do you thin- wha dont give away the answer like that

they have to learn how to get the answer 😔

[placid zinc]

Good to see an example haha

[tranquil saddle]

no it's fine

i still gotta graph it

[placid zinc]

Cash, or temperature are usual continuous values

[merry iris]

ok so pretend you have $15

[tranquil saddle]

mk

[merry iris]

you spend 3

[tranquil saddle]

mk

[placid zinc]

"Number of times something happens" is discrete

[merry iris]

how much do you have left

[hexed magnet]

@tranquil saddle think about the fact that because each movie rental costs increments of $3, what the result would be in terms of how many rentals you could get with non multiple of 3

[tranquil saddle]

12

[hexed magnet]

i.e. x % 3 != 0

[merry iris]

right but you cant get 14/13 because you spent $3 SUDDENLY

so the graph will look like it drops suddenly

step by step it will reach 0

[tranquil saddle]

oooooooooo

that makes sense

[alpine sable]

all of these numbers are rational right?

im observing them and I think they are

but im not sure

[hexed magnet]

Yes

[alpine sable]

Okay, thanks for clarifying (:

[hexed magnet]

Rational = can be expressed as a/b where a and b are both integers

[high bloom]

I'm being asked to prove that if n^2 - 1 is divisible by eight, then n is odd. How would I approach this? I'm thinking of trying to prove the contrapositive using contradiction, but I can't seem to make a contradiction work

[tranquil saddle]

so i assume it would be B because all the suden it starts pooring rain

right wear C is

[merry iris]

why is it so, just in case you didnt know why
II: sqrt49 = 7 = 7 / 1
III: 2.4545... = 27/11

[gleaming sandal]

How much rain fell in section B?

[glass lichen]

Contrapositive is n is even => n^2-1 is not div by 8, so assume not true ie n is even => n^2-1 is divisible by 8

[tranquil saddle]

sorry gotta go

:/

[glass lichen]

n is even clearly means n^2-1 is odd, so cant even have a single factor of 2

so the contrapositive is true, so the statement is T

[high bloom]

This makes sense, thank you

[cobalt trellis]

Could anyone help me out with a Calc question?

[gleaming sandal]

I can try

Probably can't. A lot more experienced people here

But send

[cobalt trellis]

So this is the question.

[dusky notch]

@placid zinc thanks for the help btw! It helped alot

[oak chasm]

That negation is a bit off:

negation of (n is even -> n² - 1 is not divisible by 8)
negation of (n is odd or n² - 1 is not divisible by 8)
n is even and n² - 1 is divisible by 8

You need to find a counterexample of that kind, not of the kind n is even -> n² - 1 is divisible by 8, which has as an example all odd numbers.

[glad viper]

can anybody help me with a algorithm problem? would really appreciate it

[gleaming sandal]

https://www.youtube.com/watch?v=Mp55wMhgHtM

[sonic root]

halp

[cobalt trellis]

Thanks

[hexed magnet]

Think you're encouraged to just ask your question

[rich basin]

Is this a real or virtual image?

[lime mulch]

Is there a website i could use where i can practice math

Like doing problems and stuff

[glass field]

khan academy?

but you can also do it in real life with a book

its dope

[lime mulch]

Thx

[gleaming sandal]

https://web.pa.msu.edu/courses/2000fall/phy232/lectures/lenses/images.html

[rich basin]

@gleaming sandal Also do you know hwo to determine the size of an image through only knowing their placement in the system

such as understanding whether the image is inverted of enlarged when the iage is on 2F?

[uncut halo]

Hi,
if 500 dollars increase 45% per day, how much will it be 3 days?
The correct answer is not 1175. It should be 1524.3125.
I cant seem to find the formula here, I can only manually calculate it like this:

(500 x 45%) + 500 = 725
(725 x 45%) + 725 = 1051.25
(1051.25 x 45%) + 1051.25 = 1524.3125

Prof is asking for the formula, not the answer. The answer is 1524.3125

[gray isle]

consider
500*45% + 500 = 500*( 1 + 45%)

[frigid hatch]

put a \ before the *

[gleaming sandal]

Idk why you wouldn't simplify it as 1.45 and do all that work

[uncut halo]

can you help me find the right simplest formula to automatically reach 1524.3125?

[placid zinc]

So yeah multiplying by 1.45 is the same as multiplying by 0.45, then adding the original value again

500(1.45) is an increase by 45%

[uncut halo]

the calculation should not be done per day, it should automatically calculate the whole 3 days to get 1524.3125

[gray isle]

so regardless of the original amount, multiplying by 1.45 increases it by 45%

[uncut halo]

i just cant get it

[placid zinc]

Then, you can get your final answer by multiplying 1.45 three times.
That is, multiplying by (1.45)³

[uncut halo]

nice, thats it

I got it hahaha

[gray isle]

don't feel the need to expand and approximate at every single step

[gleaming sandal]

@uncut halo

Where d is the day

[uncut halo]

yes, 500 x (1.45(^3)

[gleaming sandal]

So if it's third day, d=3

[uncut halo]

yes thanks, it is right

[alpine sable]

Hello! Can anyone help me with this?

I dont get where is underlined in red

How P(A) equals to that?

The only events in the problem are A and B

[oak chasm]

Just from what you've shown, they're equal by accident.

P(A) isn't always 1 - P(A n B).

It's like there's 52 cards in a deck and 52 weeks in a year, but there's no reason why they're the same number.

[alpine sable]

Yh I got your point, but i am still struggling to understand the problem.

[oak chasm]

Can you show more about the problem?

[alpine sable]

I appreciate your help a lot, unfortunately the problem is written in portuguese. I`ll send you the resolution as well, that might help.

They are asking for P(B\A)

[whole herald]

Vou te ajudar a traduzir.

[alpine sable]

The resolution

[alpine sable]

Aeeeee obrigadaaaaaa

[whole herald]

Let E be a finite set, P is one probability in P(E) and A, B belong to P(E).

[oak chasm]

OK, so P(A | B) = P(A n B)/P(B)

[whole herald]

and then there are some values

and he wants P(B|A)

[oak chasm]

You're given P(A | A' u B) = 1/2 and P(A) = 3/5.

[proper sable]

Write an equation containing only one variable that describes the line passing through (-7,-4) and ry(-7-4)

anyone know how to do this

[placid zinc]

Note that they're not asking for P(B\A) which is something different

[alpine sable]

They are, arent they? Look at the print.

[placid zinc]

Indeed, they want P(B | A)

[whole herald]

OHHHHH

[alpine sable]

@oak chasm Are you having any trouble reading the resolution? Do you want me to translate anything?

[oak chasm]

P(A n B) + P(A n B') = P(A).

Does that make sense?

[whole herald]

YES

I was going to say that

that's the catch ^

[oak chasm]

The count of the things in A n B plus the count of the things in A n B' is the count of the things in A.

A has two parts.

The part that's also in B.

The part that's not in B.

A n B

A n B'

So, those parts together make up A.

A n B combined with A n B' is A.

@alpine sable Do you understand that part?

[whole herald]

If you want what he said in portuguese I could try to help you with that

[alpine sable]

Ahh yh, hopefully now I`ll understand. I am still reading your messages, wait just a bit.

[alpine sable]

Yes! I fully understand that, but this still confuses me:

[alpine sable]

.

[whole herald]

note that P(AnB') = 1 - 2P(AnB)

[alpine sable]

The first print I sent you

[whole herald]

so this print is just:

P(A)
P(AnB) + P(AnB')
P(AnB) + 1 - 2P(AnB)

he just skipped the mid step

Got it? @alpine sable

[oak chasm]

To be more explicit:

P(A) = 3/5
P(A n B) + P(A n B') = 3/5
P(A n B) + (1 - 2P(A n B)) = 3/5
1 - P(A n B) = 3/5
1 - 3/5 = P(A n B)
P(A n B) = 2/5

[whole herald]

[alpine sable]

Ohhhhh omg, got it!

Thank you so much guys! <33

[oak chasm]

You're welcome.

[jagged ferry]

412 x 29 = can u guys help me

[alpine sable]

@whole herald (I am going to "speak" in english because its kinda weird to speak in portuguese where everyone speaks english, but maybe you could help me with one thing.) I have some other doubts , but I cant put them here, because the explanation of the problem is really extensive, and I cant translate all the information properly. Once, occasionally , I met other person in this chat who could help me because he was brazilian, but I think he is no longer in this discord channel anymore. Maybe you could help me?

[jagged ferry]

pleaseee

Help me

[whole herald]

Yeah sure, you can count on me sometimes

I'm almost leaving tho its 00:18 here

[alpine sable]

@jagged ferry are you trying to multiply it by hand?

[jagged ferry]

Im so lazy

[alpine sable]

Yayyyyy! You dont know how much you are helping me (Its 04:21 in Portugal ahaha i am going to sleep), can I send you my doubts tomorrow or something in private?

[whole herald]

Yes absolutely, I would love to help you!

[alpine sable]

i can show you how its done with different numbers if you'd like

similar concept to this but with your numbers obviously

[alpine sable]

❤️ 🥺 I`ll text you then! Byeee

[whole herald]

❤️

[austere hazel]

someone please explain 🙂

[alpine sable]

what is linear function?

[austere hazel]

what do you mean?

[tribal goblet]

the median set of eight numbers is 4 1/2 given 7 of the numbers are 9, 2,3,4,12,13 and 1 find eighth number

this must be 5 right?

[alpine sable]

if you don't know it, we encourage you to google linear function

[austere hazel]

thank you

[austere hazel]

i googled it and i still don’t understand

i know it’s y=mx+b

[tame thunder]

grind khan academy

[alpine sable]

y = ax + b amirite

[tame thunder]

thats what i did for alg 2 and 1

[austere hazel]

oh

[tame thunder]

or

[austere hazel]

lmao

[tame thunder]

f(x)=mx+b

😉

[austere hazel]

i’m so dumb

for alg 1 it was all online so i cheated

and now i’m in geometry

[alpine sable]

c'mon i'm also dumb

[tame thunder]

lol dont worry

[austere hazel]

lol

[tame thunder]

online school screwed me up too

[austere hazel]

wait so i just plug in the numbers for y=ax+b

what do i do after 💀

[tame thunder]

graph probably

[austere hazel]

hmm ight

[tame thunder]

if thats what it wants u 2 do

[austere hazel]

okay i graphed in desmos

[tame thunder]

learn to do it on paper too without desmos

[austere hazel]

[tame thunder]

cuz i only did it with desmos and then when quiz time came

[austere hazel]

oh

[tame thunder]

literally stared at the equation

and didnt know where to begin

lmfao

but thats just me

[austere hazel]

loo

ooo

lol

[native parrot]

so log base 25 _X=1/2log base 5_x
which rule states this?

[oak chasm]

@austere hazel Well, if you need to learn algebra 1, Khan Academy is pretty good: https://www.khanacademy.org/math/algebra.

[alpine sable]

$\log _5\left(x\right)=\frac{\log _{25}\left(x\right)}{\log _{25}\left(5\right)}$ so we have $\frac{1}{2}\cdot \frac{\log _{25}\left(x\right)}{\log _{25}\left(5\right)}$ which is simplified to $\log _{25}\left(x\right)$

[ocean seal]

jswatj

[thorn hound]

For example if I get a equation and it asks if a inverse exists how do I know

[alpine sable]

a function?

[thorn hound]

Yes

[alpine sable]

you can check if its surjective and injective

[thorn hound]

I mean function

[alpine sable]

that would imply an inverse exists

[thorn hound]

Is there simpler definition of what surjective

And Injective mean

[alpine sable]

Wdym

[thorn hound]

What does injective and surjective mean

[thorn hound]

So Injective means one Input for every output

And surjective means ?

[alpine sable]

every output has an input

[thorn hound]

ohh

so basically VLT and HLT?

[alpine sable]

uhhhh

yes sort of

ehh not really

its different

is there a question you have in particular?

it might be the case that its outside the scope of your course

[thorn hound]

Wdym

[alpine sable]

what course is this for

[thorn hound]

AP Calc AB there's a question we have to find inverse of sum

[alpine sable]

oh

then

[thorn hound]

I forgot a lotta things lol

[alpine sable]

finding it you would just switch the x's and y's

or solve for x

[thorn hound]

yeah ik

that parts not hard

I'm just confused on how to tell if a inverse exists

after I flip variables

[placid zinc]

So if you're talking strictly real functions, you're looking to see if it passes a horizontal line test

[thorn hound]

yeah I know

But what if I'm given only a equation

No graph At all

No calc

[placid zinc]

Maybe post said equation

[alpine sable]

^

yeah

[placid zinc]

Nvm this is also happening in #help-1

[split slate]

How might I do this?

[ocean seal]

HappyAlt

[flat vale]

yep u got it

[split slate]

Ah, thanks

[fleet pollen]

can some one explain about this?

[split slate]

My friend sent me this as one of their ideas for this quesiton. I don't get it and is it correct?

[placid zinc]

That's probably the intended answer, though it isn't perfect

Note that sometimes sin(A) can be negative, so you'd use the negative sqrt

[stray turtle]

A perfect number is a positive integer n such that the sum of its factors equals 2n. For instance, 6 is a perfect number since 1+2+3+6 = 12 = 2×6. Prove that a prime number can’t be a perfect number.

[stray turtle]

Can anyone help with this?

[placid zinc]

Suppose p is a prime number. What are its factors?

[split slate]

Sorry to barge in, but could you please explain this?

[placid zinc]

It's always true that:
|sin(A)| = √[1 - cos²(A)]

Where | | is the absolute value function

[split slate]

Ah, so that's a trig identity?

[placid zinc]

I'm being technical though. Your friend's answer is likely what your teacher is looking for

[split slate]

Right, thanks

[alpine sable]

hi, what's an integral value?

ik it's an integer, but can it be negative? 0?

Hello

The triangle with the given 64 deg angle is iscoceles

So each of the angles in the right side triangle is 58 degrees

Alr

@alpine sable

So what do to find y and x

Note that the triangles are congruent

by SSS

@alpine sable got it

180-58

122 = x

y = 58

[eternal token]

@alpine sable education perfect moment

[alpine sable]

@eternal token ikr

Its so bad to use

[eternal token]

Ik

[alpine sable]

What's an integral value tho?

[eternal token]

I have to use it for school

[alpine sable]

Wdym integral

like as in integer

122

yes, but can it be neg or 0

uh

Wdym

Btw can u help with this

sry gtg

Someone

[eternal token]

Wait since it’s one fifth can’t you just divide by 5?

[alpine sable]

0.5???

[rigid wind]

0.492/5?

lol

[icy stratus]

can someone explain standard form I'm confused

ik it's simple but I'm dumb

[alpine sable]

for which

a line or quadratic equation

[icy stratus]

ummm

[sweet geyser]

Hello

[sweet geyser]

Numbers

Turning numbers that are big too small

Formula is ax10 n

[alpine sable]

a*10^n?

[sweet geyser]

Yes

[unkempt flare]

I need 😫 help please 😢 🙏

[alpine sable]

seems like just a regular power function

how do I prove that this point does not lie on the line?

let x=3

show that y!=10

so 10=2(3)+1

so it would be 10 = 7 and i can use that prove that 3,10 does not lie on the line

yes

cause that is a contradiction

*begin by saying 'suppose by contradiction that (3,10) is on the line...

then plug x=3 in

show 10=7

which is a contradiction

ohh alright thank you for your help

therefore it is not on the line

[austere hazel]

the sad part is that i’m in geometry

[alpine sable]

guys i wanted to ask
if sin(a-b)=0
sin(b-a)=0 as well?

well it works only when a-b = b-a right

sin(x)=0

then x=0 degreees

then a=b

so

sin(a-b)=sin(b-a)=0

answer to your question is yes ig

but in that case the general solution gets changed, or say the graph gets oppo

opposite

well yaah, but you are taking it for a single solution so it doesnt matter

if you were taking it for a variable

like sin(a-b)=x, then it might change what you are asking

but what you gave includes that sin(a-b)=0

which means it is a constnat

tht doesnt affect the graphs in anyway

let x=a-b then -x=b-a we know that sin(x)=0 so sin(-x)=-sin(x)=0 so it is true

[alpine sable]

no it does,

i have a question

[alpine sable]

when you take a constant it doesnt, why will you have graph of a constant, if you take a variable then it will sure affect the graph

general solution for sin x = 0 is
x=nπ

[alpine sable]

yes

[alpine sable]

i think this solution might satisfy you @alpine sable

aah yes, my solution is applicable if you take a limited angle domain like 0<x<360

[alpine sable]

but if you take it as x=n*pi you might get it like this

ok tell me if general solution (x=any real number) for these two are same?

sin(π+x)=0
and sin(x-π)=0?

solution and graph are different for the two equations that's what im saying

actually they are the same

$\sin(x+\pi)=\sin\pi\cos x+\cos\pi\sin x=-\sin x$

[alpine sable]

how can i get interest in maths?

[alpine sable]

not a question here dude i think you should ask it in general

this channels are for discussing real maths questions

oh ok

[ocean seal]

jswatj

[alpine sable]

whoops my bad

here

[alpine sable]

solution for the two
nx+π
and
π-nx

see

similarly $\sin(x-\pi)=\sin\pi\cos x-\cos\pi\sin x=\sin x$

[ocean seal]

jswatj

[alpine sable]

actually they are different

yes

wait

no they are not

$\sin x=0$ and $-\sin x=0$ have the same solutions

[ocean seal]

jswatj

[alpine sable]

they aren't different

dude if you take sin(a+b) and sine (a-b) then they are not equal in all cases, but for a case like sine(a-b)=0 they will have same solutions, as a-b=b-a=n*pi

[alpine sable]

well not when x=something-theta

show me where sin(x)=0 but not -sin(x)

[alpine sable]

no where

there wont be

i literally showed the graph
for solution of sin(π-x)=0 and sin(x-π)=0

[woven echo]

the obvious solution here is a fight to the death

[alpine sable]

sine(x)=0, then -sine(x)=-1(sine(x)=-1(0)=0

[alpine sable]

can you give an example of where they might differ?

give me an x where one is zero but not the other

[alpine sable]

well I'm talking about "general solution of sine" they are different for the two cases

general solutions are
nπ+x
and π-nx
agree?

yes

the general solutions are different

exactly

hey real quick i got a question sorry to interupt but what does the wavy equal sign stand for

[alpine sable]

it depends on the context

approximately

[woven echo]

probs "approximate"

[alpine sable]

mostly it is similar or

approx

ohh right ok ok thank you sm!

i literally stopped doing my assignments :'(

well i am sorry but can you explain what is general solution.

[misty holly]

u in 7th grade too or u just forgot what it means?

[alpine sable]

forgot lmao

[misty holly]

oh, i forget a lot of things too lol

[alpine sable]

value of x in sin x, for -infinity < x<infinity

[alpine sable]

ohh like n*pi and stuff?

yep

ok

then any kind of sine function shall have the same general solution right , except n(sinx) forms, then what is the discussion here?

i don't understand why's this happening :(

ok so your question was if sine (a-b)=0, then sine (b-a) is zero as well

that was the leading question

main question was if they are equal, then why not the solutions

i dont think they are equal

okay, but i was doing my math normally and for me it turned our sin(a-b), for some people it turned out sin (b-a)

not my fault:(

see, a-b=-(b-a), sine of (b-a)=sine(-(a-b))

well both are same right, sin(-x)=-sine(x)

yes

arent they

ok

but

[alpine sable]

oh

they are not equal, I'll agree fine, but theres nothing wrong with my math

what math did you do?

maybe we can look at it

sine (-(a-b))=-sin(a-b)=-1(0)=0

problem solved

yes, we already proved that if sin(a-b)=0 then sin(b-a)=0

then what else should we show there

[alpine sable]

.

my handwritings terrible lmao

seems like he was doing a different problem and his peers got sin(b-a) while he got sin(a-b)

ohhk , so for this particular value of sin(x)=0 it is correct only

[misty holly]

pls do note that there's always that one asian teen who has more terrible handwriting than urs

[alpine sable]

well i am asian(indian)with goofd hendroiting

[misty holly]

i have a small handwriting, smol and ugly

smol but terribol

[alpine sable]

is the ugly small or your handwriting is small and ugly

and come to general this is not hte place to discuss

[misty holly]

oh sowwy for the disturbance in thischannel that i have caused

[alpine sable]

hey I'll show you, you're there?

im here

[alpine sable]

some people multiplied (-1) on both sides

thats why our answers came out different

[misty holly]

i-

i thought u has terrible henwroting

?

[alpine sable]

i've rewritten this xD

still not satisfying me

[misty holly]

if i had that henwroting, i'd probably never stop writing lol

it looks cute to me

[alpine sable]

xd, relax everyone's like this, yours good too

[misty holly]

have u seen my henwroting?

[alpine sable]

no but everyone can write it good if they try so..

what are you looking for

solutions to x?

[alpine sable]

yeah

[alpine sable]

is it illegal to multiply -1 on both sides 🤣

No

are u looking for general solutions?

[alpine sable]

yep

okay well

the left side can be turned into

cos(2x-pi/6)

but there's no need

u can use the trig identity cos(x)=sin(pi/2-x)

things like that

thats what i would do i think

well in the end, multiplying both sides by -1 makes it go two different ways

hey wait

i think...

it doesn't, the other guy made mistake i guess

let me check

nah, found no mistakes

well i think i got the sol

should i send

@alpine sable

[alpine sable]

yeah sure

ok then wait a min i will write it down in my notebook and send

i did on own

in rough

cool I'll wait

hey @alpine sable

yaah

stop writing it, i figured out something

i mean i will send it none the less

as i have written something, if it is wrong i can learn something right.

okay but I figured out solution is same haha

i mean my problem is solved

[bronze birch]

I have a really basic problem that I don't understand lol

How does 2 years of growth constitute to 35 feet?

[alpine sable]

well i dont live in america so i dont know

i mean, 12 inches is 1 feet

24 inches is 2 feet

[bronze birch]

So you would think that it would be 19 feet then

Which is what I thought

But I guess not

[alpine sable]

dude it has to grow

20 feet more to reach 35

so it requires growth of 20 feet=2 feet per each year for 10 years

[vale wigeon]

"2y" does not mean two years

two years would mean y=2

[alpine sable]

yes

[bronze birch]

So what does it mean then

[alpine sable]

y is a variable

y is the no. of years

it denotes the no. of years

[bronze birch]

Nvm I understand now

Thank you guys for the help lol

[high sluice]

guys, help

[fresh bolt]

find the common denominator of 7 and 4

[robust phoenix]

i need help with the name of something

I don't know the name but i will try to explain

(5,3) in an array it has 2 sides

the 5 side is called something and the 3 is called something else does anyone know it ?

[vale wigeon]

??

[robust phoenix]

idk how to explain it please help

in Functions i think

[vale wigeon]

are you translating this from another language

[robust phoenix]

The "X's" is on one side and The "Y's" are on another side

[vale wigeon]

inputs and outputs?

if you're treating this as a function

[robust phoenix]

nope

nvm the function it isn't the function

[vale wigeon]

[robust phoenix]

in this array {(-1,3),(0,2),(5,1)}

[vale wigeon]

this looks like a set not an array

[robust phoenix]

yeah

sets

so theres 2 lists

idk the name of them

one for the X's and one for the Y's

the split them

[vale wigeon]

domain and range?

[robust phoenix]

YUESESS\

EASYEUAYEAUSIESA

Let's gooo

yes thank you so freaking much < 3

[fresh bolt]

domain is x and range is y?

[robust phoenix]

range is y

and domain is x yeah

[fresh bolt]

isnt it domain: -6, -5, -3, -1?

[robust phoenix]

yeah that's it

[robust phoenix]

and the range is y-axis or possible outputs

[fresh bolt]

yeah you know the answer already?

[robust phoenix]

yeah i but i didn't know the name

[fresh bolt]

oh lol ok

[robust phoenix]

it sucks to study in another langauge ;3

[vale wigeon]

what language

[robust phoenix]

Arabic

So i need more help i guess

if i have 1 over 3 then a number next to the fraction

should i multiply the number by the 3 and add it to the 1 ?

so this becomes 3x^2 over 3 ?

[alpine sable]

hey is cos (-(x+c)) = cos (x+c)?

[robust phoenix]

nah i don't think so

[alpine sable]

because there is a constant inside?

[robust phoenix]

no

because you need to multiply by the -1

i'm not sure tbh but that's what i know

[gray isle]

no Muhannad, don't try to help

[robust phoenix]

Bro..... Atleast say my name correctly Remoniv

[gray isle]

Dry

Sry

Fkn autocorrect

[robust phoenix]

It's ok

as i said above i wasnt sure but that's what i thought of the question

[gray isle]

cos(a) = cos(-a)
because cos is an even function

[alpine sable]

but its not just a, its a+constant,
still same?

[robust phoenix]

Oh i see

[tight locust]

if you look at the taylor series you will see that all the terms of cos are of even degree

[gray isle]

doest matter,** a** is a variable

[robust phoenix]

Ramonov

[gray isle]

as for your question, you simply multiply the x^2 to the numerator of the fraction

[robust phoenix]

is this the same as 3x^2 over 3 ?

[alpine sable]

ok got it

[robust phoenix]

Okiee dokey

[gray isle]

$\frac ab \times c = \frac{ac}{b}$

[ocean seal]

ℝamonov

[robust phoenix]

wait what about the denominator ?

why isnt it c*b+a ?

[gray isle]

why would it be that?

[robust phoenix]

idk that's what we get teached lol

[gray isle]

you're mixing addition with multiplication

[robust phoenix]

so in addition we do that ?

and in multiplication i just multiply by the nominator ?

[gray isle]

$\frac ab \times \frac cd = \frac{ac}{bd}$

[robust phoenix]

huh

[ocean seal]

ℝamonov

[robust phoenix]

yeah i get this

thanks ;3

[gray isle]

$\frac ab + \frac cd = \frac{ad}{bd} + \frac{bc}{bd} = \frac{ad + bc}{bd}$

[ocean seal]

ℝamonov

[robust phoenix]

eh it didn't work

F(-3)

[gray isle]

What did you get

[robust phoenix]

7

[gray isle]

is wrong, how are you getting 7

[urban lily]

sry if interrupting anything, but can someone remind me of vertical and horizontal tangents in general? like I just want to remember which w=one was y=0 and which is x=0 or undefined