help-0

[alpine sable]

where is #chill

[glass lichen]

#chill

[alpine sable]

the channel is gone

[sleek elbow]

its there for me 🤷‍♂️

[covert fjord]

help anyone

[vague pecan]

slope intercept is y = mx + b

[buoyant kayak]

do you know point slope form?

[vague pecan]

plug in a point

to solve for b

[covert fjord]

yes

[buoyant kayak]

you have everything you need

[covert fjord]

y - 9 = 2/5x - 5

do i -5 first or -9

[buoyant kayak]

well, you need to get it into the form y=mx+b

so you need y on one side

[covert fjord]

so -9

[buoyant kayak]

deal with the -9, yes

[covert fjord]

+9*

[buoyant kayak]

yes, you would add 9

[covert fjord]

y=2/5x+11

[vague pecan]

that’s point slope form @covert fjord

[buoyant kayak]

-5+9 isn't 11

[covert fjord]

is that correct

y=2/5x+4

[buoyant kayak]

there ya go

for correct notation, it should be (2/5)x or 2x/5

[covert fjord]

so the slope says the same?

[buoyant kayak]

it is a line, so it has a constant slope

[gentle prism]

Looks like a sock

[ripe gust]

its possitive 4

[buoyant kayak]

lmao okay

[ripe gust]

i hate spelloing

spelling

wtf

[covert fjord]

what do i do first?

[buoyant kayak]

you're solving for y

[covert fjord]

-2y?

[buoyant kayak]

i mean you could to that

but there's an easier step

[covert fjord]

like what

[buoyant kayak]

your goal is to isolate y

if you have an x term and a y term on one side, what can you do to get the y term by itself?

[covert fjord]

divide by 2

so i do that with 8 too?

[buoyant kayak]

yes, if you choose to do that first, do it to the entire equation

[covert fjord]

i got 2x+y=4

[buoyant kayak]

you didn't divide everything by 2

you only divided y and 8 by 2

[covert fjord]

i have to do x too?

[buoyant kayak]

yes, you must divide the entire thing

[covert fjord]

so then its x+y=4

[buoyant kayak]

alright, now solve for y

[covert fjord]

-x?

[buoyant kayak]

yep

[covert fjord]

y=x-4

[buoyant kayak]

you subtracted x and got a positive x on the other side?

[covert fjord]

or 4-x

[buoyant kayak]

$x-4\neq 4-x$

[ocean seal]

a disappointing son

[buoyant kayak]

which one is the correct one?

[covert fjord]

x-4

[buoyant kayak]

you sure?

[covert fjord]

y=mx+b

[buoyant kayak]

that is slope intercept form

[covert fjord]

isnt 4 the b?

yea

[buoyant kayak]

yes, positive 4

in your equation, -4 is b

[covert fjord]

i have to convert it to slope intercept form

[buoyant kayak]

yeah

[covert fjord]

so is it y=4-x?

[buoyant kayak]

that is correct, yes. now rearrange into slope intercept

[covert fjord]

y=-x+4

[buoyant kayak]

there you go

[misty mortar]

What did I do wrong with this problem?

[covert fjord]

thank you and can you also help with this one?

do i -4y or divide by something

[buoyant kayak]

it's easier to add 3x to both sides instead

that gets the y term by itself faster

because if you were to subtract 4y from each side, you just put y on the same side as the 16

[covert fjord]

16+3x and 4y+3x?

[buoyant kayak]

not just 4y+3x

it's -3x+4y+3x

[covert fjord]

that just gives u 4y

[buoyant kayak]

exactly

so now you have 4y on one side by itself

and what do you have on the other side?

[covert fjord]

4y=16-3x

[buoyant kayak]

you didn't subtract 3x from both sides, you added it

[covert fjord]

4y-3x=16-3x

[buoyant kayak]

go back to the original equation

-3x+4y=16

now, you want to get y by itself

[covert fjord]

u told me to -3x every term

[buoyant kayak]

i said to add 3x to both sides

what you do to one side you must to do the other

[covert fjord]

-3x+3x+4y+3x=16+3x

?

[buoyant kayak]

why did you add another 3x term on the left side

your equation is -3x+4y=16

[covert fjord]

u cant add 3x to 4y?

[buoyant kayak]

you added 3x twice

[covert fjord]

so just -3x+3x

and 16+3x

[buoyant kayak]

no

write it on paper

[exotic dagger]

wait are we converting standard form to slope intercept?

[buoyant kayak]

@covert fjord do you see how i took the original equation and added 3x to both sides?

[covert fjord]

yea

so it would just be 4y=16+3x

[buoyant kayak]

yes

now solve for y

[covert fjord]

u divide

[buoyant kayak]

yes

[covert fjord]

bny 4

[buoyant kayak]

correct

[covert fjord]

y=4+3x

i divide 16 right?

or the 3x

[buoyant kayak]

you need to divide every term by 4

[exotic dagger]

the whole equation by 4

[flint badger]

@buoyant kayak we meet again

[covert fjord]

y=4+3/4x

[buoyant kayak]

$\frac{4y=16+3x}{4}\implies \frac{4y}{4}=\frac{16}{4}+\frac{3x}{4}$

[exotic dagger]

yeah but write it as y = mx + c and not y = c + mx

[ocean seal]

a disappointing son

[covert fjord]

y=3/4x+4

[flint badger]

yes

[exotic dagger]

yes

[flint badger]

you isolated y, good job

[buoyant kayak]

correct notation would be (3/4)x or 3x/4

[covert fjord]

y=(3/4)x+4

[flint badger]

oh yeah, put the right parantheses

[buoyant kayak]

👍

[flint badger]

because calculators would interpret it differently

i.e. $\frac{3}{4x}$

[ocean seal]

eggdog

[flint badger]

that's what "3/4x" means to the calculator

but it should be $\frac{3}{4}x$

[ocean seal]

eggdog

[flint badger]

or (3/4)x

or well not that calculators interpret it differently, it's just wrong

[covert fjord]

so this would be y=-12x+9

[flint badger]

not -12x

you're adding 12x to both sides

so 12x would be positive

it would be

y = 12x + 9

[covert fjord]

oh right

[exotic dagger]

How do I solve for X without a calculator in this case?

[buoyant kayak]

take the ln of both sides and use log rules

[exotic dagger]

I haven't learnt how to do Natural Log and what it is

tho is there not a simplier way to solve for this other than using natural log?

[flint badger]

is that (4^x)/3 = 10?

[buoyant kayak]

no, look at the log above it

[exotic dagger]

1,3^x

[flint badger]

oh

bruh

[buoyant kayak]

$(\frac43)^x=10$

[ocean seal]

a disappointing son

[flint badger]

$x\ln \left(\frac{4}{3}\right)=\ln \left(10\right)$

[ocean seal]

eggdog

[flint badger]

you kind of have to take the ln on both sides lol

[buoyant kayak]

you can use regular logarithms too

[flint badger]

yea,

[buoyant kayak]

also stop giving people the answers

[flint badger]

sorry

I mean you told him to take the ln on both sides, and I was just showing what it would look like

but mb

[raw shard]

yeah you didn’t really give him the answer @flint badger

[buoyant kayak]

yeah they did

[exotic dagger]

I have no idea on how to solve for Logarithms, Most of the log question ive gotten were like Log2(4) and Log3(9) since I've just begun with them

[raw shard]

i don’t agree but whatever

[buoyant kayak]

have you gone over log rules at all?

egg literally just gave them an equation that requires the person asking the question to divide and they have their answer

[flint badger]

he's right I didn't show how it worked

[exotic dagger]

no, but if it is too much of a hassle to take here then I can go do some research over Log rules before coming back

[flint badger]

basically works like this

[buoyant kayak]

if you'd like to do that, i suggest this video

https://www.youtube.com/watch?v=Jtv9Lnf7Zw8

quick video, goes over the concepts well

also shows examples

[silver dew]

ln(😅) = 💧ln(😄)

[flint badger]

nice

[raw shard]

ok that is kinda funny

[exotic dagger]

okay I just finished watching the video

Log4/3^x(10) would be X Log 4/3(10)?

[buoyant kayak]

well you're not multiplying by 10

you have $$ (\frac43)^x=10$$

[ocean seal]

a disappointing son

[buoyant kayak]

when you have a variable in the exponent, you need logs to solve

so take the log of both sides

then apply the rule

and tell me what ya get

[copper gust]

Give an example of a function f for which limx→∞ f(x) exists, but limx→∞ f′(x) does not exist.

im guessing it's some kinda piecewise but cant think of one

only thing i could come up with was f(y) = 1/y^2, which is obvs wrong

[exotic dagger]

i dont quite know how to do that, the video didn't cover the kind of log that I had, but I might still be too new to logs to be dealing with these questions

Im gonna go learn more about logs before attempting it again

[buoyant kayak]

alright

[exotic dagger]

thanks for the help though

[buoyant kayak]

probably not in the mathematics discord

[sly mantle]

@icy flint knock it off

[copper gust]

can i get some help while ur here

[copper gust]

this q

[small bear]

You should probably try some examples with trig functions and 1/x. Something that when given f, it goes to zero, but when the derivative is taken, the x in the denominator will cancel out (via chain rule most likely) and give an oscillating function

[copper gust]

ye been trying 1/x * sin x, 1/sinx * x, etc

[sly mantle]

a bit busy rn, pls work with the other helpers here

[small bear]

Yeah, but have you considered the power of x inside the sine function?

[copper gust]

no

[small bear]

Try it with x^2 for example. sin(x^2) / x

[copper gust]

ty king

[small bear]

Np, anytime

[upper dagger]

what are odds if you won 1/3000 chances 3 out of 5 times

[nimble fiber]

(1/3000)^3 * (2999/3000)^2 * 5!/3!2!

i think

[flat vale]

around 3.7*10^(−10)

[nimble fiber]

is what i said correct

[flat vale]

yes

[nimble fiber]

ok

[covert fjord]

can someone help change this to standard

[jaunty thicket]

well standard form is ax+by=c

so how do we get that

also a and b are integers

[covert fjord]

-5/7x+y=-1

?

[jaunty thicket]

no

so when you move the -5/7x to the other side is it still negetive?

[nimble fiber]

holy fuk im dumb

[covert fjord]

yes

[nimble fiber]

its not negative anymore

[jaunty thicket]

well so we can add 5/7x to both sides

[covert fjord]

ohh

5/7x+y=-1

[jaunty thicket]

Yes!

but a and b need to be integers

you know what a integer is right?

[covert fjord]

yes

[jaunty thicket]

kewl

[covert fjord]

so do i didvide by 7

[jaunty thicket]

divide?

5/7 diveded by 7 is 5/49

thats not an integer

[covert fjord]

nvm multiply

[jaunty thicket]

yep

[covert fjord]

y x 7 = 7y

[jaunty thicket]

mhm

[covert fjord]

so 5x +7y=-1

[jaunty thicket]

you gotta multiple EVERTHING by 7

cause imagine we have 1=1

if i just multply one side by 7

i get 1*7=1

and 7=1 is wrong

so you gotta multiply to -1 by 7 too

[covert fjord]

this but =-7

5x+7X=-1

[jaunty thicket]

so 5x+7y=-7

@covert fjord

[covert fjord]

yea

[jaunty thicket]

thats right

[winged sparrow]

having trouble with proof by contradiction

[winged sparrow]

<@&286206848099549185>

[buoyant edge]

So we begin by assuming something for the sake of contradiction. What do we assume here?

@winged sparrow

[winged sparrow]

that an even integer times an odd integer is an odd integer

@buoyant edge

[thorn kindle]

what is an even integer?

can you generate a function that produces an even integer for every integer input?

[winged sparrow]

2k

[thorn kindle]

yes

for k in Z

[winged sparrow]

yes

[thorn kindle]

now what is an odd integer

[winged sparrow]

2k + 1

[thorn kindle]

yes

[buoyant edge]

Multiply them together now.

[thorn kindle]

now consider the product

[winged sparrow]

4k^2 + 2k

thats always an even integer

since divisible by 2

but what does it mean by contradiction

[thorn kindle]

contradiction is really unnecessary

[buoyant edge]

Your contradiction comes with your equivalence

[winged sparrow]

like do i just say "oh since this is always even, it cant be odd" lol

[thorn kindle]

yes exactly

haha

[buoyant edge]

You said that it's odd FTSOC, so set 4k^2 + 2k = 2a + 1

Can't be true since LHS is 0 mod 2 and RHS is 1 mod 2 for any integers

[winged sparrow]

ahh

i see

since rhs is odd

and lhs is what we're proving

that makes sense

[frail shard]

can i get some help please

ik how to differentiate, but im super confused on how to do related rates

[glass lichen]

$A(t)=\pi[r(t)]^2$

[ocean seal]

Mosh

[glass lichen]

since radius changes w/ time

[low topaz]

how is sin(x) or cos(x) calculated without the lengths of the sides of a right triangle with an angle of x

[glass lichen]

unit circle

[frail shard]

what can i do after?

[glass lichen]

differentiate

[frail shard]

i dont understand my friend's work

[glass lichen]

$\dv{A}{t}=2\pi r(t)\dv{r}{t}$ by chain rule

[ocean seal]

Mosh

[covert juniper]

Does a function need to be defined on its entire domain?

[glass lichen]

yes.

[sly mantle]

the definition of a function requires this

[frail shard]

i got this, but the examples in the notes defined what dA/dt is

how can i solve for 2 variables

[glass lichen]

you're not asked to

you're asked for dA/dt with respect to C and how fast the radius changes

note that $C=2\pi r$ so the derivative becomes $\dv{A}{t}=C\dv{r}{t}$

[ocean seal]

Mosh

[frail shard]

ah ok, i get it, tysm!

[covert juniper]

Then how can the composition of f and g be defined like this, if the range of g is merely a subset of the domain of f

[glass lichen]

because that has a different domain to f

the domain of fog is the range/imagedomain of g

which has to be a subset of the domain of f

[covert juniper]

But it says dom(fog)=dom(g)

[glass lichen]

D_g (with this condition)

cause yeah, you're inputting into g first

so all your inputs have to at least come from D_g

[covert juniper]

Ok thanks

But then isn’t f not defined on some parts of its domain?

[glass lichen]

no

domain is defined as the set on which a function is defined

you cant be undefined at a point in the domain, cause then the point isn't in the domain

[covert juniper]

Ok thanks!

[glass lichen]

Example $\sqrt{x+2}$ is defined for $x\geq -2$ since $x+2\geq 0$ when $x\geq -2$

[ocean seal]

Mosh

[glass lichen]

I restrict the domain of g (R) so that when I output from g and input into f, I get an output (Need what I apply f to to be nonnegative)

[covert juniper]

Gotcha

[sly mantle]

typo

don't sully me

[glass lichen]

[paper holly]

how do we do this?

[tight locust]

symbolic differentiation

(f(g(x))' = ?

(g(f(x))' = ?

[paper holly]

yeah but like how do i do that when i dont know the function f(g(x))

[tight locust]

you don't need it

hence "symbolic"

generalized. abstracted.

[paper holly]

yeah i got that

but like how do i solve it

[tight locust]

chain rule

[low topaz]

how can sin(x) be calculated with an equation that contains x

[proven heart]

what?

Like an example would help plz

😅

[paper holly]

can u specify what u mean?

[proven heart]

Yup

Clarkson?

[arctic laurel]

For part a i understand that the point of intersection is when x=-0.5 but how are we meant to know/figure out the other behaviors of the tangent line.

[glass lichen]

Taylor series truncated with sufficient number of terms is how calculators do it

[proven heart]

Wait what was this reply an answer to?

[glass lichen]

How sine is calculated

[proven heart]

Oh ok

[proven heart]

So like you want the explanation to how to solve the ii)part?

[arctic laurel]

i wanna know how they figured how to draw the tangent

is all they do draw a line from when x=-0.5

where it intersects?

[proven heart]

You just roughly draw it I guess.and tangent touches the thing at only one point and so yes it should intersect at x=-0.5 .you just kinda make sure that you are drawing it "perpendicular" to that very little portion of the curve.

I'm not sure if this the correct explanation .but trying ma best T-T

[ripe gust]

stoopid

[alpine sable]

my teacher likes to give problems which he didn't teach, I'd like to know how can i answer this? thanks

[ripe gust]

fcking stoopid

[ripe gust]

r u doing graphign rn?

[alpine sable]

yes

hyperbolas

[ripe gust]

ok so the 4 is the x axis

and 0 is y

u know that

nvm

man idk wtf i be saying half the time

[alpine sable]

i see, idk what formula i should use for this problem XD

[ripe gust]

man istg idk wtf i be saying half the time 😭

ok i learned this b4

[alpine sable]

teach me

[ripe gust]

my brain is forgetting things faster than my dad leaving

[ripe gust]

. dont talk to me

im not gay

[sly mantle]

@ripe gust curb your degeneracy

[ripe gust]

alr mb

[dire wren]

how do i find tan 50

without a calculator

im given that cos 50 is about 0.96

i just wrote it as $\frac{ \sin 50}{ \cos 50}$

[ocean seal]

neither

[dire wren]

now im stuck

do i rewrite sin 50 as sin 100/2

to use half angle

but i got stuck there

[thorn kindle]

Haha. Just use eulers formula.

[dire wren]

which one

[thorn kindle]

Exp(ix)=Cis(x)

[ripe gust]

ok wtf. is that trig?

[dire wren]

lol what

whats cis and exp

you mean like $e^{i \theta} = cos \theta + i \sin \theta$

[ripe gust]

only at algerbra 1 rn man idk how but i learned quadratics tho

and polynominals

however u spell it

[ocean seal]

neither

[dire wren]

uh

confused how i should use this

[thorn kindle]

Whats a good way to add to 50 using known angles

[tame sail]

lol im only at algebra 2

[dire wren]

uh

idk

30+20?

[alpine sable]

wwhat

[dire wren]

but idk 20

[alpine sable]

oh well

[dire wren]

this channel is in use

can u switch to another

[ripe gust]

man wtf

math is cool tho ngl

[sly mantle]

@alpine sable knock off the collatz spam

[alpine sable]

what

[dire wren]

agreed

[ripe gust]

agreed

i hate english with a honor

science is cool

[thorn kindle]

Wait i got it

50*3 = 150 = 90 + 60

@alpine sable occupied channel

[dire wren]

uh

so like sin (150?

[thorn kindle]

Yeah

[dire wren]

how would i do that

[thorn kindle]

Use the third of an angle

150/3 = 50

[dire wren]

what

thats a thing

is there an identity for it

[thorn kindle]

Yeah

You can derive it yourself

[dire wren]

uh

[thorn kindle]

Exp(ix)= cis(x), now let x = t/3

[dire wren]

ok

but

im doing simple ish trig

im basically suppose to find x

[ripe gust]

dont talk to me

wtf is that

[dire wren]

and yeah im only given cos 50

[dire wren]

wasnt talking to you lol

[ripe gust]

wtf is that tho

howd u do that

[thorn kindle]

wait ok this is way simpler

you should've just posted the original problem lmao

[dire wren]

o lol

wait

oh

i c

uh

im fucking stupid

[ripe gust]

stupid?

man idk what that is

[thorn kindle]

if you are given cos50 then this is very easy to solve

no need for any weird formulas

[dire wren]

yeah

just realised

[thorn kindle]

haha

[dire wren]

i was too fixed on tan 50

i coulda just found the hypotonus first

i think

thats so much easier

[thorn kindle]

yep

[ripe gust]

wha....

[alpine sable]

Where did I go wrong?

[thorn kindle]

what's the original problem statement

[dire wren]

what you tryna find

yeah this isnt correct

well

depending on what n is

but what even is the problem

[ripe gust]

wtf is that

[dire wren]

what are you trying to find

@alpine sable

[alpine sable]

21 @dire wren

@thorn kindle

[dire wren]

ok

so

do you know binomial theorem

if so you can raise $x + \frac{1}{x} = a$ to 6th power

[alpine sable]

Nope

[dire wren]

oh

[ocean seal]

neither

[dire wren]

well uh

try expanding it

raise each side to the 6th power

[alpine sable]

Have I done something wrong here?

[dire wren]

no

wait

is that suppose to be subtraction

[thorn kindle]

x^2 + 1 = ax
(x^2+1)^6 = (ax)^6

[dire wren]

since in the next step u wrote as subtraction

[alpine sable]

Yeah...

[dire wren]

lol

[thorn kindle]

now just use binomial theorem.

if you can count to 6 you can do it

[alpine sable]

I don't know...

;__;

[thorn kindle]

what is the 6th row of pascal's triangle?

[alpine sable]

I'm in 10th

[dire wren]

uh

have u learned series/summations yet?

like simple ones

[alpine sable]

Yes

[dire wren]

ok

well they shoulda taught it ig

idk

in binomial expansion

[dire wren]

but yeah ur right

u just need to simplify it

[alpine sable]

Alright, I just need to verify that, thanks

Anyways, I have another question

Pls help, my answer isn't matching @dire wren

It should be 4001²

[dire wren]

wait what

[alpine sable]

Uhh I assumed 2000 to be x

[dire wren]

no

it doesnt work like that

[alpine sable]

Why

[dire wren]

(a+b)^2 doesnt equal a^2 + b^2

thats basically what you assumed

a was 2000

and b was 2001

wait

nvm

[alpine sable]

Yrd

[dire wren]

lol i read everything wrong

[alpine sable]

Yes^^

So what's the problem with that? @dire wren

[dire wren]

oh

i thought that x was an n...

[alpine sable]

Oh lmao

[dire wren]

bruh

u mixed ur n and x

NVM

AHHHHHHHHHHHHHHHHHHHHH

im so bad at this

[ripe gust]

wait is the x a multiplication sign

or

[dire wren]

yeah it is

[ripe gust]

oh ok

[sour swan]

can someone help me solve p vs np

[ripe gust]

i mean 2(2000) is the same as 2x2000

[alpine sable]

Yes

[dire wren]

are you sure its 4001^2

[ripe gust]

you should use the bulletpoint as a multiplication sign

not a x

bc itll get mixed up as a variable

[dire wren]

wait

$(n+1)^2 = n^2+2n+1$

[ocean seal]

neither

[dire wren]

lol nvm

u should be right

[ripe gust]

wait whyd u put the $

?

@dire wren

[thorn kindle]

[dire wren]

texit commands

there is no way u are wrong

it is 4001

anyways gtg

[ripe gust]

o

[shut parcel]

Hi, guys! I need help with this particular question: What sum of money increased by 150% will amount to $490?

[tight locust]

1.5x = 490

lmao

[ripe gust]

490x1.5

[tight locust]

no

[ripe gust]

man idk

[shut parcel]

Would the answer be $196?

[tight locust]

then why intentionally give out false information?

[ripe gust]

i havent down increase money thingyes

in like

so long

wtf

[raw shard]

@shut parcel no

[shut parcel]

Right.. why suggest an answer if you’re not even sure

[raw shard]

it’s approximately 326.6

i think

yeah

[shut parcel]

How did you get $326.66

[tight locust]

,calc 490/1.5

[ocean seal]

Result:

326.66666666667

[shut parcel]

I got that too but I was unsure as well

[tight locust]

depends on how you round the cents

[raw shard]

i just did a mental approximation

[shut parcel]

The sum kinda blew me off

[ripe gust]

ok now wtf

mental approximation?

[raw shard]

yeah

i did it in my head

[ripe gust]

naw

naw

naw u scary

[raw shard]

yeah

it’s not very hard

[shut parcel]

Does everyone agree it’s $326.66

[raw shard]

yeah

[ripe gust]

mathway says its true

[shut parcel]

Oh thank you for checking

[raw shard]

1.5x = 490, 3x = 980, x = (990/3)-(10/3) @ripe gust

that’s what i did

[ripe gust]

in ur mind?

[raw shard]

yeah

[ripe gust]

man wtf

[proven heart]

Bro wait what's the question plz

[raw shard]

it’s been answered

[shut parcel]

This is the question

Hi, guys! I need help with this particular question: What sum of money increased by 150% will amount to $490?

[ripe gust]

oh it says increase with a ed

[shut parcel]

Yes

[raw shard]

still the same

[ripe gust]

i thought it said what sum of money increase by 150

man wtf

[proven heart]

Wait if it's increased,then isn't it like x+ 1.5 x?

[shut parcel]

Yes

[raw shard]

oh yeah i think

so 196

[shut parcel]

Because it was an increase

I was thinking 196

[jade birch]

@shut parcel Don't multipost. Read #❓how-to-get-help

[shut parcel]

Hey, sorry. Someone asked what the question

was

[ripe gust]

chill mate

we were all learning

[shut parcel]

Ikr aarez

[raw shard]

if they posted in multiple channels they needed to be told that

[proven heart]

Yes ,it was me 😅

[ripe gust]

like dayum

[raw shard]

if not then yeah calm down lol

[shut parcel]

Wait so, $196 or $326.66

[jade birch]

It's in #help-1, #help-2, #help-3

[shut parcel]

I’m confused now😭

[raw shard]

@shut parcel 196

[proven heart]

Depends on what the question actually asks.wtf does increased actually mean like they have to explain it I guess.or u gotta know it beforehand

[ripe gust]

man idk wtf i be saying half the time

[raw shard]

we definitely know

[ripe gust]

ima go shower

[shut parcel]

That was just the question

Quantum, what happened to not being $326.66

[raw shard]

i misunderstood at first

[shut parcel]

100+150 = 250%/100 = 1.5

[raw shard]

no

in the question it’s x+1.5*x

[shut parcel]

Then, you would solve to get how much added which is $294

[raw shard]

aka 2.5x

[shut parcel]

Oops, I meant 2.5 not 1.5

[raw shard]

wait i might be confused with the way you said it

[shut parcel]

Like

[raw shard]

whatever you have the answer lol

[proven heart]

Wth is happening .so much confusion

[shut parcel]

I know

This question so confused

confusing*

[raw shard]

repost the question and i can explain in clear detail

[shut parcel]

I hope I don’t get em pissed lol

What sum of money increased by 150% will amount to $490?

That’s the question

[raw shard]

if it’s increased by 150%, then that means the original value is multiplied by 2.5

so 2.5x = 490

[shut parcel]

But the original value is not given

[raw shard]

that’s exactly what it says to solve for

[shut parcel]

Isn’t the final value $490?

[raw shard]

yeah

[proven heart]

Yes exactly

[shut parcel]

$196 would be the original

[raw shard]

yeah

[ripe gust]

the answer is 326.6 according to mathway

[shut parcel]

And an increase of 150% would be $294

[raw shard]

no

it’s not

it’s 196

[shut parcel]

Because 196 + 294 = 490

[proven heart]

That's like what Sum of money when taken 150 % of it, is 496 dollars?

[raw shard]

basically the answer is 196

[ripe gust]

496?

[raw shard]

so we can stop saying two different answers

[proven heart]

Yes

[raw shard]

and confusing this person

[proven heart]

Are we really arguing over this 😑

[shut parcel]

Lol

[raw shard]

no

[shut parcel]

We love a good debate🤣

[raw shard]

i answered the question 5 minutes ago

[alpine sable]

man 24karat youve been hogging all of the help in this discord for the last 10 minutes for this one question

[ripe gust]

i mean arent we just trying to find the actual answer and not wanting him/her to get it wrong on his/her hw?

[raw shard]

i explained it so we can stop talking about it

[shut parcel]

Betelguse, it’s a homework question

[raw shard]

let’s free this channel up

[shut parcel]

People here are mad rude bruh

[raw shard]

not really

[shut parcel]

They lowkey are

[ripe gust]

well the thing is we arent complainging nor saying we dont want to help hhim

like bro

[raw shard]

this is a discussion at this point

[alpine sable]

yeah

[ripe gust]

@alpine sable if u need help just say so its not that hard 😐

[jade birch]

Do you consider me telling you to not multipost rude as well?

[raw shard]

this isn’t related to math in anyway at this point

[shut parcel]

Amen @ripe gust

[raw shard]

just stop lol

[ripe gust]

trynna make it clear for him xd

[alpine sable]

alright, now that the discussion is finally resolved, can i also get some of that precious help™️ #help-1 message

[tight locust]

did you know that there's more than just one channel?

multiple people can receive help simultaneously!

isn't that amazing?

[ripe gust]

there are other channels questions 0-9

0 is occupied

u have 9 other channels

like wtf

[shut parcel]

Lol

[proven heart]

Do you guys want a question to check how strong y'all are at your basic algebra and problem solving skills?

[raw shard]

stop talking please

[alpine sable]

ask question -> get shit on

[tight locust]

no

[raw shard]

free this channel up

[tight locust]

don't follow rules or use common sense -> get shit on. yes

[alpine sable]

i am following the rules

[ripe gust]

que pro

[proven heart]

Ok 😑

[ripe gust]

lmfao

[shut parcel]

Clearly you not following the rules

[proven heart]

Who

[shut parcel]

You keep running your mouth

[proven heart]

Oh betelguse

[ripe gust]

zaddy balls

[alpine sable]

yeah because i am the person who asked question over an occupied channel @shut parcel

[shut parcel]

Go shit on, according to your words @alpine sable

get*

[sly mantle]

y'all chill

[proven heart]

Ok stop everyone pls 😅.just peace ❤️

[alpine sable]

guys, tell you what, instead of doing this meaningless discussion, can we please answer questions

[proven heart]

Yes and I had a good question bro

[shut parcel]

Clearly nb wanna answer your question

[raw shard]

@sly mantle this has literally been going on for 10 minutes

[sly mantle]

stop acting like children

[proven heart]

T-T

[ripe gust]

@raw shard dont u think math is cool?

[alpine sable]

jesus. i am off

[ripe gust]

like

[sly mantle]

whoever needs help can get it in separate channels

[ripe gust]

its so awesome right? @raw shard

[proven heart]

It is and that's why most of us are here?

[alpine sable]

unfortunately because half of the people that are online are dedicated for this meaningless discussion instead of answering questions, we cant

[ripe gust]

fr

[sly mantle]

@alpine sable move to #help-1

[alpine sable]

alright man

[ripe gust]

oOp

[shut parcel]

I like how he’s complaining about ppl prolonging discussions yet he’s doing it as well

[proven heart]

And what is impressive it's human invention.frickin human invented it bro and it's so awesome .and that's what is surprising

[sly mantle]

@ripe gust you're on thin ice. keep insulting others & you're out

[ripe gust]

math+science+pyhics+cs>any other subject

[proven heart]

Wait he was just asking people about coolness of math

[shut parcel]

@ripe gust not even insulting ppl

[ripe gust]

i hate english honors with a passion

[proven heart]

Hmmmmm.seems like the good start of a conversation

[sly mantle]

https://i.gyazo.com/9b2c7f9e55a383f9de7c5b4d6efd4099.png

[proven heart]

Or not

[sly mantle]

don't bullshit me

lastly, move offtopic discussion to #chill

the question channels are reserved for math help

[proven heart]

Someone get a question plz

[ripe gust]

1+1=2x+0

[proven heart]

Nois

[ripe gust]

x=1

right?

[proven heart]

But we need some higher drugs bro .this some cheap sht

[ripe gust]

fr

[proven heart]

Soon gonna turn off topic

Or dead

[ripe gust]

if x=10
whats 6x+100+5x-2x

this is some 100$ drug

[proven heart]

190

😑bro

Try solving this question.its just basic algebra .no tricks involved 😅

[ripe gust]

yes.

[proven heart]

Btw ,it was in a YT video ,so like am I allowed to screenshot that and post it here?

[ripe gust]

no tricks involved.

Veritasium- "You arent a virtual learner"

if u gave me that question irl

i could solve it

[proven heart]

I dont get what you mean?😅

[ripe gust]

🤨

ima go shower like man wth

[verbal stratus]

uhhh is this channel free? XD

[alpine sable]

yes

[raw shard]

yes

[verbal stratus]

okk ty

[alpine sable]

this channel is desperate for questions, in fact

[verbal stratus]

so ive tried to write out working to solve the binomial expansion and then make what they wrote equal what i wrote

and i get x=2 but the answer is (-1)^n

i dont even understand what i am supposed to do with what it gives me

tbh

[alpine sable]

weird question, do they mean "what will (1+x)^n expand to"?

[verbal stratus]

i have no clue im guessing they just want an expression for x

like from what they give, find x

[alpine sable]

i see

[alpine sable]

You have to find the value of x by observing the expansion and then substitute the value in the condensed (1+x)^n form to get the answer

[verbal stratus]

what? i substitute 2

into x?

[alpine sable]

in (1+x)^n

[hot fjord]

Hi is anyone good at permutations and combinations(discrete)

say there is 5 books and you want to stack them on a stand. would you use the premutation formula or combination?

[verbal stratus]

sorry i dont understand

[alpine sable]

x won't be 2

[alpine sable]

Put the value of x which you found, in (1+x)^n

[verbal stratus]

i found x to be 2? idk what i did wrong

-2*

[elder glacier]

how can i prove that x^(a+b) = x^a * x^b

[alpine sable]

Yes this would be it

[elder glacier]

wait sorry channel is occupied

[verbal stratus]

OH its not asking me for x its asking for the answer?

[alpine sable]

Yes

[verbal stratus]

what is the difference between a and b then?

b is just asking to find n's combinations added together

and a is asking for the binomial?

[alpine sable]

You can express the n-combinations in binomial form

[verbal stratus]

not sure how yet but ill give it a go

[celest anvil]

how to solve?

im really not getting linear algebra and vectors and spanning

[elder glacier]

let vector a = <x,y,z> and vector b = <c,d,e>

ab = (xc)+(yd)+(ze)

[celest anvil]

for the first one, vector u * v, is it just (1+0-3)(-1+4+5)?

[elder glacier]

no this is dot product

refer to the formula I stated above

[celest anvil]

oh shit ok

thanks

[elder glacier]

allg

just to help you start

u * v = <1,0,-3> * < -1,4,5> = (1 * -1 ) + (0 * 4) + (-3 * 5)

[celest anvil]

all i see thx

[alpine sable]

I want to ask something. Our teacher tried to explain something but I got nothing seriously. I really don't know the topic but he mentioned "affine frame". I really don't understand anything even if I listen to the records again and again. Can someone show me a way to get this topic like for example you must know derivative to understand integral and limits to understand derivatives right? I need someone to tell me the topic sorting to study respectively something like that

[latent ginkgo]

pls settings passive true

[alpine sable]

what?

Lesson name is analytic geometry

https://en.m.wikipedia.org/wiki/Affine_space

[alpine sable]

I checked everything, but it feels like I need to know stuff before I study this particular topic

[alpine sable]

Oh

That page seriously doesn't make sense at all to me

[celest anvil]

@elder glacier how do you do the fifth one?

[alpine sable]

Add vectors u and w and then a new vector will form then dot product

[celest anvil]

ah ok

thank you

[alpine sable]

teacher told me to study some linear algbera topics, and I did, but I still don't understand anything

[alpine sable]

Sorry I don't know about this topic
I'm a high school student

okay thanks anyway

[alpine sable]

It looks like you must know about vector spaces before understanding affine space

[celest anvil]

same boat

[alpine sable]

I studied vector spaces, basis, basis transformations and still doesnt work

[celest anvil]

doesn’t help when my prof decides to speedrun lectures

[alpine sable]

Oh

mine doesn't know how to teach something lol

I trust docs more than profs

[celest anvil]

and i thought calc was bad

[alpine sable]

calculus is fun I think, but this linear algebra stuff is too abstract and doesn't make much sense

[alpine sable]

<@&286206848099549185> it's been 15 mins sorry

[alpine sable]

https://youtu.be/E3Phj6J287o

[alpine sable]

If linear algebra seems abstract
https://youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab

gonna check them out

Yeh sure do

Even I understand them
Blew my mind

I don't think the subject is hard, but I think the notations make it seem to be hard

and our ignorant prof xd

[celest anvil]

why do they make the notations so complex

also how do i do this

[rigid wind]

if you got a good understanding in linear algebra, affine is just synonym for translation

[alpine sable]

to show off their math skills

[alpine sable]

the problem is I don't know that either

[alpine sable]

one must be multiplication of the other two to be linearly dependent

I don't know the word, something like twofold but not only 2 times

[rigid wind]

might as well ask in #point-set-topology see if any frequents could explain more intuitively

[alpine sable]

okay

[restive tendon]

how do you do this? i am having trouble currently, as my teacher did not teach this topic well

thanks in advance for your answer, and please ping me if you have one

[alpine sable]

what do you need for the equation of a line ?

[restive tendon]

since its tangent im assuming a slope and a y-intercept

but no clue

[alpine sable]

Yes the slope and a point
A point is given
Can you find the slope ?

[restive tendon]

uh

would th4e

the

n*x^n-1

thing come in handy here

[alpine sable]

Yes slope of a line tangent to a curve
y = f(x)
is dy/dx or f'(x) at that point

[restive tendon]

yeah so i would do

idk what to do :/

[alpine sable]

Bruh differentiate

[restive tendon]

???

im literally a new calc student

and my teacher didnt teach any of this stuff 😭

[alpine sable]

Do you have the time to study ?

[restive tendon]

its 2am fo rme

lolool

just tryna knock out as much homework as i can before i get some sleep

[alpine sable]

This is how you differentiate
y = x^n

[restive tendon]

hm

alright

so what would i do

in the context of that problem

[alpine sable]

differentiate y= x - 2x^2

[restive tendon]

ho

w

idk what

differentiate means

[alpine sable]

Then either study it or just do the homework by the formula and study later

[restive tendon]

ill study tmrw

[alpine sable]

Ok

[restive tendon]

thanks anyways ig

[alpine sable]

dy/dx = 1-4x

[restive tendon]

oh

OH

ohhh

because its n-1 and then moving the exponent n to the front

and multiplying by the coefficient

[alpine sable]

Yes

[alpine sable]

Yes

dy/dx is the slope of the tangent

[restive tendon]

ah

so the slope is -4 then, right?

[alpine sable]

But it is varying so you need to find it at that point

[alpine sable]

nope

[restive tendon]

bruh what

how

[alpine sable]

put x=1 in this

[restive tendon]

-3

[alpine sable]

Ye

What did you do before

[restive tendon]

i just went

1-4x = -4x + 1

then used mx+b

to get

that

[alpine sable]

Why what

[restive tendon]

slope = m, therefore slope = -4

i thoguht thats how u solve

[alpine sable]

This is NOT the equation of the line

[alpine sable]

dy/dx is the slope here

not the equation of a line

[restive tendon]

oh oops

i c

so then thats my slope no?

so now that i have my slope

i can make the equation of the line?

[alpine sable]

yes at (-1,1) slope is -3

[alpine sable]

Yes

[restive tendon]

alright uh

[fervent anchor]

(-1+4x)dx+dy=0

[restive tendon]

1 = -3(-1) + b
1 = 3 + b
-2 = b

therefore

[fervent anchor]

Mmm

[restive tendon]

(-1+4x)x - 2 = y?

y = tangent line

idek

[alpine sable]

Bruh slope is -3 at (-1,1)

Put that as m

[restive tendon]

i did bro

y = 3x + b

then i plugged in the point

1 = -3(-1) + b

then i solved for b

is that not right?

[alpine sable]

It is right

[alpine sable]

but put -3 here in place of slope

[restive tendon]

-3x-2

so thats literally it

?

[alpine sable]

y=-3x-2

Ye

[restive tendon]

hm alr

tyty

ill try to incorporate that into my next problem

[alpine sable]

ok

[alpine sable]

you put the opposite