help-10

[rocky pelican]

c^-1(x) is the number of songs downloaded

[timid silo]

I don't get what I'm suppose to do here..

@rocky pelican

<@&286206848099549185>

[rose night]

yes

[timid silo]

Lemme bring down the question

3. A Spotify Music allows member to download songs for ₱205.40 pesos each
   after paying a monthly service charge of ₱782.75. The total monthly cost C(x) of the service in peso is C(x) = 782.75 + 205.40x, where x is the number of songs downloaded.
   (a) Find the inverse function
   (b) What do 𝑥 and 𝐶^−1(𝑥) represent in the context of the inverse function?
   (c) How many songs were downloaded if a member’s monthly bill is ₱3843.75?

(a) C(x) = 782.75 + 205.40x
y = 782.75 + 205.40x
x = 782.75 + 205.40y
x - 782.75 = 205.40y
(x - 782.75)/205.40 = 205.40y/205.40
x/205.40 - 782.75/205.40 = y
y = x/205.40 - 782.75/205.40
C-1 (x) = x/205.40 - 782.75/205.40

(b)

(c)

Letter b what do I do??

[rocky pelican]

u just write down what x represents and what c^-1(x) represents

its a short answer question

u don't need to do maths in for this q

[timid silo]

So...

Huh??

I don't even know what do they represent

[slate hamlet]

What did x represent in the original function

[timid silo]

205.40

205.40x

[rocky pelican]

bruh

its not asking u for numerical values

[timid silo]

IDK WHAT IT REPRESENTS

[rocky pelican]

i told u what they represent b4

x is the money spent and c^-1(x) is the number of songs downloaded

this question is a short answer question

[timid silo]

205.40 = x?

[tawdry lark]

Dawg its in the question😭

[rocky pelican]

so u just say something like this

bruh

[timid silo]

I DON'T UNDERSTAND IT

[rocky pelican]

its a short answer question

it doesn't need nuerical values of x or y

[timid silo]

IDK

[rocky pelican]

ok

[timid silo]

REPRESENTS THE UNITED STATES OF AMERICA

IDK PLEASE 😭😭

[tawdry lark]

Chill

[rocky pelican]

the answer is: x represents the money spent to download songs, and c^-1(x) represents the number of songs downloaded

just write that

which year/grade r u in?

[tawdry lark]

To elaborate, if x is the number of songs downloaded in the original function and c(x) is the money spent to download, then in the inverse c^-1(x) is the number of songs downloaded and x is the money spent

[rocky pelican]

bro you can't imagine how many times i've said it already😭

[tawdry lark]

😔

[timid silo]

11

[rocky pelican]

r u doing ap

[timid silo]

I still don't get it

[slate hamlet]

How did you do the prom question

[timid silo]

X is the number of songs.. which does not say...

[slate hamlet]

It does

[slate hamlet]

.

The last line

[rocky pelican]

where x is the number of songs downloaded.

[timid silo]

c(x) is the money spend to download which is 205.40..

[rocky pelican]

forget about numbers

[timid silo]

which was not stated.

[tawdry lark]

Yes but dont focus on the value

[rocky pelican]

the question is a short answer question

[timid silo]

WHAT IS IT

[rocky pelican]

you don't need to write any numbers for this question

[timid silo]

c(x) = x!?

[slate hamlet]

3. A Spotify Music allows member to download songs for ₱205.40 pesos each
   after paying a monthly service charge of ₱782.75. The total monthly cost C(x) of the service in peso is C(x) = 782.75 + 205.40x, where x is the number of songs downloaded.
   (a) Find the inverse function
   (b) What do 𝑥 and 𝐶^−1(𝑥) represent in the context of the inverse function?
   (c) How many songs were downloaded if a member’s monthly bill is ₱3843.75?

[rocky pelican]

A short answer question (SAQ) is a brief question that asks a student to provide a concise response. SAQs are often used in exams or assessments to evaluate a student's understanding of a topic. They can be used to assess a student's ability to: Remember terminology, Identify phases, Explain what happens during two phases, and Pick out meaning and explain it.

[tawdry lark]

Bro is gonna lose it fr

[timid silo]

I DON'T GET IT IM DOING WHAT IT SAYS

[rocky pelican]

so u just need to explain the relationship

[timid silo]

X IS THE NUMBER OF SONGS. OKAY SO ITS STILL X.

[rocky pelican]

yes

x is the number of songs

[timid silo]

C(X) IS THE MONEY SPEND TO DOWNLOAD

CLEARLY STATES.

[tawdry lark]

Yes

[rocky pelican]

yes

omg

lets go

[timid silo]

THAT ALLOWS MEMVER TO DOWNLOAD SONGS FOR 205.40

[tawdry lark]

Noooooo

[timid silo]

MEMBER TO DOWNLOAD SONGS.

[tawdry lark]

Dont focus on that

[timid silo]

FOR 205.40

WHAT AM I DOING!?!?!?

[slate hamlet]

Forget the numbers

[timid silo]

C(X) = X???

[slate hamlet]

Why?

[timid silo]

F(X) = X???

[tawdry lark]

Nobody said that

[slate hamlet]

Where did f come from

[tawdry lark]

Chill out

[timid silo]

IF THERE ARE NO NUMBERS THAT NEEDS TO BE INVOLVE THE ANSWER IS C(X) = X

OR IS IT X = X

[rocky pelican]

first u need to recognise that c(x) is a function

[timid silo]

MONEY SPEND TO DOWNLOAD

MONEY.

VALUE.

VALUE

NUMBERS.

DOWNLOAD

SPEND.

MEMBER.

204.50.

[tawdry lark]

Bro

[timid silo]

WHAT AM I DOING WRONG???

[tawdry lark]

Its just the money spent to download

We will talk about the cost later

[rocky pelican]

imagine c(x) looks something like this

[timid silo]

MONEY SPENT.

"MEMBER TO DOWNLOAD SONGS = 205.40"

WHAT THE HELL IS IT??

NO NUMBERS INVOLVE

C(x) = x

STILL WTONG

WRONG

WHAT THE HELL

OH MY

[tawdry lark]

The relationship is between songs downloaded and money spent, and the inverse of that relationship is money spent with songs downloaded

[timid silo]

THIS IS INSANE

x = C(x)

[tawdry lark]

There is no equals symbol, it is a relationship

[rocky pelican]

look at the picture i sent

[timid silo]

...

[rocky pelican]

what does x axis say

[timid silo]

C(x)x?

C(x),x?

[tawdry lark]

C(x) changes depending on x

[timid silo]

WHAT AM I DOING WRONG!?!?!?

[rocky pelican]

lets not use c(x)

use y

[timid silo]

X

ANSWER IS X

ONLY ANSWER X

Y = X

X = Y

X AXIS

FINALY ANSWER Y(X)

[tawdry lark]

Full on crash out

[timid silo]

I DON'T KNOW WHAT IM DOING WRONG

[rocky pelican]

ok

u need to calm down first

[tawdry lark]

Wrd

[rocky pelican]

its hard to do math when ur panicking

[timid silo]

I AM LITERALLY SHAKING

EVERYTHING IN MY BODY IS SHAKING

I LOOK LIKE IM IN A MENTAL HOSPITAL

MY CLASSMATES WERE JUST MOVING AWAY FROM ME BECAUSE OF HOW MY BODY SHAKES TO ITS FINAL CORE.

NOW TELL ME THE ANSWER

WHAT AM I DOING WRONG.

[rocky pelican]

bruh

[tawdry lark]

We told you before

[timid silo]

C(x) (x)

[tawdry lark]

.

Right here

Is the answer

[timid silo]

WHAT HOW??

[tawdry lark]

Because thats what its asking for

[timid silo]

HOW IS THAT THE ANSWER??

[tawdry lark]

This is why

[timid silo]

I don't get it...

[tawdry lark]

We have a statement: Money spent depends on songs downloaded

Inverse of the statement is: songs downloaded depends on money spent

[timid silo]

Oh.

Wait let me breath

I'mma drink water

Okay..

3. A Spotify Music allows member to download songs for ₱205.40 pesos each
   after paying a monthly service charge of ₱782.75. The total monthly cost C(x) of the service in peso is C(x) = 782.75 + 205.40x, where x is the number of songs downloaded.
   (a) Find the inverse function
   (b) What do 𝑥 and 𝐶^−1(𝑥) represent in the context of the inverse function?
   (c) How many songs were downloaded if a member’s monthly bill is ₱3843.75?

(a) C(x) = 782.75 + 205.40x
y = 782.75 + 205.40x
x = 782.75 + 205.40y
x - 782.75 = 205.40y
(x - 782.75)/205.40 = 205.40y/205.40
x/205.40 - 782.75/205.40 = y
y = x/205.40 - 782.75/205.40
C-1 (x) = x/205.40 - 782.75/205.40

(b) x represents the money spent to download songs, and c^-1(x) represents the number of songs downloaded

(c)

<@&286206848099549185>

[still swift]

hi

nvm

[timid silo]

WHAT NO DON'T LEAVE

[rocky pelican]

did u get b

[obtuse pebble]

@timid silo Has your question been resolved?

[obtuse pebble]

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[timid silo]

for the expansion of (2x+3)^5
Why is the last term not 486?
cn a0 bn
1 * 2x^0 * 3^5
1 * 2 * 3^5
486

[timid silo]

Infact maybe i dont understand binomial expansion because my entire expansion was wrong ;-;

[wooden cipher]

1 * (2x)^0 * 3^5

[timid silo]

oh

im slow

Lol

sorry.

.close

[obtuse pebble]

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[languid harness]

need help with part b please

im not sure how to express it as a power of 1/2

<@&286206848099549185>

also this part

I put this into my calculator and I cant see why its wrong

anyone

<@&286206848099549185>

@hidden compass im terribly sorry to ping you but I have to go soon and you seem like one of the only active people on here, if u dont know how its ok ]

[hidden compass]

I have lecture in few mins, so I don't have the sufficient amount of time to help you, sorry

[languid harness]

thats all good, ill continue to help sheeperman then

[gloomy vector]

wierd, n=3 would mean that the blade cuts 0 times, which means that it doesent affect anything and the thickness of the paint wont change

[gloomy vector]

for part b, if you have a 1 unit thick paint and it removes 3/4ths of the paint, how much do you have left? if you do it again how much do you need to multiply it to remove 3/4ths of the remaining paint?

[languid harness]

Thats what i was thinking, unless my equation is wrong??

[gloomy vector]

idk

[languid harness]

1/4 remaning

wait

yeah

it dosent have a thickness

its not stated until part c

[gloomy vector]

oh i think i see whats going on

it does a, then b, then c

[languid harness]

thats what i thought

so i did (answer part a) - (3/4)^n-1

but idfk where to go from here

[gloomy vector]

thats incorrect

[languid harness]

ah

[gloomy vector]

lets see

[languid harness]

wait

it should be 1/4

not 3/4

it removes 3/4 leaving 1/4 behind

[gloomy vector]

why would it be a subtract? part b removes the remaining paint

[languid harness]

so is it just 1/4^n-1

[gloomy vector]

yeah

[languid harness]

then how dafuk

do they get that

the 5 especiallyt

[gloomy vector]

if you cut half, then the remaining gets cut half again, the remaining paint would be 1/2×1/2 right?

[languid harness]

yeah

[gloomy vector]

then should it be subtract?

[languid harness]

noooooooooooo

[gloomy vector]

then?

[languid harness]

writing it out now

gotem

thanks bro

[gloomy vector]

yep

[languid harness]

so for part c tho

u said ur not suer

sure

[languid harness]

to me what i wrote seems right

i think the equation is right

and calculator certainly isnt wrong

and like u said it cant be 34

3***

[gloomy vector]

for part c you combine part a,b,c

[gloomy vector]

what would the equation of c specifically give?

[gloomy vector]

ok i didnt see this, use (1/2)^(n-3)

[gloomy vector]

so add this with the (1/2)^(n-3)

[languid harness]

this is what they say

add or multiply..

[gloomy vector]

like combine them

multiply

ykwim la

[languid harness]

la?

[gloomy vector]

nvm

[languid harness]

singlish?

[gloomy vector]

i was kinda going for that cause its cool :p

[languid harness]

are u from singapore

oh

[gloomy vector]

nah but i went there once it was amazing

[languid harness]

yeah im learning about singlish

they say la alot

[gloomy vector]

ikr

[languid harness]

idk what it means

havnt got there yet

[gloomy vector]

me neither :p i guess its like "oh cmon" ish like "oh cmon ykwim"

[languid harness]

its got multiple meanings i think

[gloomy vector]

see you got it :3

[languid harness]

actually we did cover it, one is to emphasise

otherone is to indicate a completed action

and theres another i think

so ykwim la was prob correct

EmPhAsIsE

anyway thanks bro

precitate it

[gloomy vector]

^w^

[languid harness]

.clowe

.close

[obtuse pebble]

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[gloomy vector]

clowse 😭

[languid harness]

ikr

i actually suck

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[vocal hatch]

How can I make from y=(1-n) Yk + nSYw
To
Ydry formule

[vocal hatch]

The answer is right there

But I don’t see how they did that

[deft magnet]

,rotate

[vocal hatch]

<@&286206848099549185>

[obtuse pebble]

@vocal hatch Has your question been resolved?

[obtuse pebble]

@vocal hatch Has your question been resolved?

[obtuse pebble]

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[teal plank]

yo, ehm is this good?

[rich plume]

yeah

[teal plank]

nothing wrong?

@rich plume

[obtuse pebble]

@teal plank Has your question been resolved?

[lunar nymph]

[2,6] is not inclded

[lunar nymph]

Because you are only finding for x, in the interval [2,6] there is some y within the x conflict with the inequation

[obtuse pebble]

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[marsh schooner]

Hello, if anyone knows mathematica and could tlel me what im doing wrong I would appreciate it :)

[marsh schooner]

first time using it so im tryting my best lol

[zenith raft]

which part?

[marsh schooner]

the errors on the bottom

d: 0.4 is not a valid variable (duh its not meant to be) and the last line, parametricplot3d error

i dont know why its not in the form x,xmin,xmax

Also that second parameter, {s, 0.3, 0.5}, i really only want it at 0.4 idk if thats how u do it in mathematica

[rose scroll]

for the 0.4, it seems like you differentiated wrt 0.4, hence the error

[marsh schooner]

but i have t in the line :(

[rose scroll]

And the parametricplot3d only wants maximum of 3*3 arguments. You gave it lot more than that

What is this tho?

[marsh schooner]

i think it means @0.4

i have no clue but thats the best i can come up with

[rose scroll]

that looks like partial derivative wrt 0.4

thats not a valid thing

[zenith raft]

well i think the question is why that happened

[marsh schooner]

how did i give it more than that? {r[t]} needs 3 arguments in this case (t, 0, 2pi/5) and tangentLine[s] needs 3 (s, 0.3, 0.5)

unless im missing omsething and dumb

The question on my homework wants me to graph both the function and the tangent line on one graph and this is the only way i saw how

[zenith raft]

i see the problem i think

wait need to look something up

[marsh schooner]

yeah i thought that too but mathematica insists derivative of a function is just D[f[x]]

[rose scroll]

you have fed it two matrices

instead of 3 vectors

[marsh schooner]

so i read this as {function1, function2, function 3} and then parameters

ParametricPlot3D[r[t], {t, 0, 2 Pi/5}]

this is the second line, takes one function and the parameters

so like.. and i know i shouldnt assume this but

most languages will let you do f1, f2, para1, para2 u know

[rose scroll]

yeah, that looks more like correct

[zenith raft]

on the ? thing here, try removing the outer set of braces around the bounds

[marsh schooner]

i guess i also just looked it up and i can create two variables and use "Show" to put them on one graph hmm

[marsh schooner]

i tried that first, it errored worse lol

wait nvm i changed two thigns, that just shows me r[t]

[rose scroll]

this should work imo

[zenith raft]

{…}, {…} rather than {{…}, {…}} errored worse?

[marsh schooner]

that does work sorry, that wasnt the problem

[marsh schooner]

i was wrong sorry, this was before i changed the current "s" from "t" because it didnt like that

however all it does is show me r(t) now.. i have no line for my parametric equation

unless i did my parametric wrong

tangentLine[t_] = r[0.4] + v[0.4] * (t - 0.4)``` I also want it to graph this

its rly just a parametric equation and idk why it wont

[zenith raft]

can you send the whole code again how it is now

[marsh schooner]

ParametricPlot3D[r[t], {t, 0, 2 Pi/5}]
(*Unit tangent vector is r'(t) / magnitude r'(t)*)
v[t_] := D[r[t], t]
velocityMag = Sqrt[(Sin[5*0.4])^2 + (0.4^4)^2 + (Cos[5*0.4])^2]
utv = v[0.4]/velocityMag

(*Tangent line*)
tangentLine[t_] = r[0.4] + v[0.4] * (t - 0.4)
(*letter d on the homework*)
ParametricPlot3D[{r[t], tangentLine[s]}, {t, 0, 2Pi/5}, {s, 0.3, 0.5}]
(*unit binormal!!!*)```

[zenith raft]

ok um

this may or may not fix anything but it is good practice in any case

[marsh schooner]

did i do smth dumb

[zenith raft]

rather than put r[0.4] and v[0.4] in the tangentLine function definition, compute those beforehand and then put the results into the definition instead

that way you don’t compute those every time tangentLine is called

that’s more of a speed thing, i don’t know why it’s not working. but it doesn’t like something you are doing with 0.4 so there is also a chance that will fix it

[marsh schooner]

so i should get a variable for r[0.4] and v[0.4] and then use that in my parametric?

[zenith raft]

yes

but again that’s more of a coding style comment

i don’t expect it to fix anything

[marsh schooner]

rEvaledAt04 = r[0.4]
vEvaledAt04 = v[0.4]
tangentLine[t_] = rEvaledAt04 + vEvaledAt04 * (t - 0.4)

like this

or wat

[zenith raft]

sure

[marsh schooner]

u know i think that worked

kind of

its still not plotting the line i want, but i dont get the error there anymore (i get it earlier still like before)

actually maybe it didnt work

i get it twice im blind

sorry im also going on in my assigment as we speak lol

[zenith raft]

wait i think i found the issue

change = to := in tangentLine

[marsh schooner]

WE LOVE CODE!!

nevermind it didnt work but ur still right

[zenith raft]

can you send a screenshot of the whole thing now?

[marsh schooner]

ya, i found some stupid mistakes like forgetting a paramater

why cant i just do this in python so sad

[zenith raft]

tangentLine still blue

[marsh schooner]

in wAT line omg im gonna crash out lol

nvm it was bright purple and im blind

[zenith raft]

lol

tangentLine shouldn’t be blue

can you evaluate that cell?

[marsh schooner]

i can, but that line does fail

my current output

well I figured out why it was blue

[zenith raft]

did you fix TPrime

there should also be a [t_]

[marsh schooner]

yeah i have that

i acutlaly now have no idea why its blue

[zenith raft]

send code again?

[zenith raft]

this

[marsh schooner]

wym

oh

[zenith raft]

and also the t_ that is there should just be t

also what’s going on with the earlier part now?

[marsh schooner]

which part

i was just trying to figure out why it was blue lol

[zenith raft]

tangentLine etc

[marsh schooner]

idk, this is where im at now and im gonna die probably

[zenith raft]

missing a [t_] again

[marsh schooner]

oh my god im stupid mathematica wants derivated of vector functions as d x(t) d y(t) d z(t)

[zenith raft]

where does that matter?

[marsh schooner]

both lines i take derivative i think

[zenith raft]

oh

ic

[marsh schooner]

im so lost

[zenith raft]

D[{Cos[x], Sin[x], Tan[x]}, x]

this is an example from the documentation

so like

what you have looks fine?

[marsh schooner]

idk if ishould just start over at this point because I am suffering 😭

[zenith raft]

oh this is different

[marsh schooner]

yeah i redid it

[zenith raft]

idk what you had before also looked fine

but i posted the wrong thing

[marsh schooner]

i keep getting ertros and i just dont know why

[zenith raft]

[marsh schooner]

idk if this assignment sheet helps u?

but it ain’t helping me

I also have these recourses

it just does not help

You know, I Guess The Only Things He Needs Done In Mathematica Are The Ones That Say Use A Computer Program

I Just Remembered He Said That.

do u think u know

[zenith raft]

every time you post a screenshot there is a new little issue, but what does the code look like now?

[marsh schooner]

maybe sometimes

i’m an idiot

with more issues in the math. Im just going to do most of this paper pencil probably its just sm easier

I think. Idk

[zenith raft]

tangentLine not blue finally yay

[marsh schooner]

Now im sad

[zenith raft]

[obtuse pebble]

@marsh schooner Has your question been resolved?

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[zenith raft]

oh also

why can’t you use python?

[zenith raft]

it says ‘or other’

[obtuse pebble]

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[zenith marten]

i got a differential equation of dy/dx=(1-3(x^2)(y^3))/(-x+2) but i think its wrong

[marsh schooner]

idk he said use a math program

[zenith raft]

just write python code and say you used sage

(or use sage)

[red ice]

how did you get that?

[zenith marten]

the gradient function is df(x)/dx, y=(dfx/dx)x+c, then i put in y = 2 and x = 1 then got c = 1-2(dfx/dx)

then the tangent line function is y=(dfx/dx)(x-2) + 1 after simplification

since it says y intercept of tangent line to curve is always 3x^2y^3, i just put 3x^2y^3 = (dfx/dx)(x-2)+1

idk

[lunar nymph]

y-mx=3x^2y^3, m=(y-3x^2y^3)/x=dy/dx

[zenith marten]

and then i do y=vx right

oh i got it

thanks guys

.close

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[timid silo]

why cant negative numbers be primes

[cold thistle]

Convention afaik

Usually number theory is concerned with only positive numbers. Some definitions of prime stipulate that their only divisors must be positive

I could be way off

[timid silo]

Yeha but why

-5 is -5 and 1?

why cant -5 be prime

[stone holly]

usually number theory is only associated with positive integers

if you see prime number's theoretical defination it is:

a whole number greater than 1 that cannot be exactly divided by any whole number other than itself and 1 (e.g. 2, 3, 5, 7, 11).

[timid silo]

is there an actual reason for that?

[stone holly]

you can also understand it by
-5 has 3 factors, -1, 1 & 5

[timid silo]

what about -5

doesnt it have 4

actually nvm thanks

.close

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[stone holly]

lol

[obtuse crane]

guys

i need help

not really by answering

[stone holly]

fun fact: prime numbers were discovered before -ve numbers

[stone holly]

!occupied

[obtuse pebble]

Someone else is already using this help channel. If you need help with a question, please open your own help channel/thread (see #❓how-to-get-help for instructions).

[timid silo]

I didnt know that thanks thats actually really interesting

[stone holly]

yup greeks did it way before -ve nos.

[timid silo]

But the fact -ve numbers exists doesnt change how primes work?

[stone holly]

yeah it doesnt

if we just go by defination

[timid silo]

or is there some other theorem that works just with -ves and its very complicated?

[stone holly]

not really i am aware of

[timid silo]

okay thanks

.close

[red ice]

if primes could be negative, we wouldn't have the concept of a unique prime factorisation

cause we could always do 5 = -1 * -5 and so on for every prime

[timid silo]

oh shit i hadnt thought of that

[red ice]

https://math.stackexchange.com/a/3100456/1245737

[obtuse pebble]

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[celest vale]

33rd qn pls

[obtuse pebble]

Please don't repeatedly close and claim a new channel with the exact same question. This erases all previous progress made towards your problem and is confusing for helpers, making it more difficult to help you. Please be patient, even if your channel has not received much attention.

[celest vale]

<@&286206848099549185> plssss helpp

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[frigid burrow]

Hey bro

Draw diagram and send it

[obtuse pebble]

@celest vale Has your question been resolved?

[obtuse pebble]

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[shut panther]

Claim

[shut panther]

Quesion 3

[frigid burrow]

Eng translation pls

[frigid burrow]

You can directly just ask don't need to say claim or anything

[shut panther]

wait sec

[cold thistle]

Chat says this, and google translate seems to agree

Could always be wrong tho idk

[nova vale]

3^m = 5

[shut panther]

Yes

[shut panther]

True is D

2+m

[shut panther]

True translate

[nova vale]

did u get the answer

[shut panther]

No

[nova vale]

3^x=45

[shut panther]

I don't know how to solve it there is an answer key

[nova vale]

oh

[marsh geyser]

$45 = 3^2 * 5$

[warm shale]

Samuel

[marsh geyser]

Use log properties

[shut panther]

M=log3⁴`5

M=log3 45

Close

.close

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[outer magnet]

Can sb help me with this task?

[alpine bison]

can you make a simple draw of the situation for us ?

[outer magnet]

@alpine bison

anyone?

[inner copper]

can u give a more magnified diagram

[outer magnet]

???

[obtuse pebble]

@outer magnet Has your question been resolved?

[obtuse pebble]

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[faint hill]

d

[faint hill]

can someone pls explain to me

what the 12 and 32 under the F mean

[fallow wharf]

F_{12} means the force of particle 1 on particle 2

similarly F_{32} is force of particle 3 on particle 2

that make sense, since they're positive and pulling that 2nd particle towards themselves

[faint hill]

oh I see so 12 is 1 on 2 and 32 is 3 on 2

[fallow wharf]

yup you got it

[faint hill]

thanks man

[fallow wharf]

yeah you're welcome

[faint hill]

.close

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[wicked nest]

hi im doing algerbra in college and i litreally cannot grasp any of it like can someone explain this to me? For a given input value
x the function g outputs a value y to satisfy the following equation. -4x-6=-5y+2

[hidden compass]

What's the question? I mean, what's the doubt or the part you don't understand?

[wicked nest]

oh maybe i didnt put the question

Write a formula for g(x) in terms of x.

like how do I do this in the most simplest way possible i just cant understand any of it

[royal raptor]

this is college algebra?

so x is an input

y is an output

[wicked nest]

ok

[royal raptor]

so u are trying to get a equation in which g(x) -4x-6=-5y+2

g(x) is a output

g(x) is basically y

so solve for y in the equation -4x-6=-5y+2

do u get it now?

[wicked nest]

I mean thats helped a bit but i still dont understand how i solve it

when you said this is college algebra

did you mean that this is easy?

[royal raptor]

its...

not what I expected college algebra to be

[wicked nest]

im in first year for software development

[royal raptor]

oh ok

[wicked nest]

but I have never done algebra before

ever

[royal raptor]

?

how old ar u?

[wicked nest]

21 I left school very young

[royal raptor]

oh

No wonder

so algebra is basically equations and stuff

do you understand how to solve the equation?

[wicked nest]

no. i understand you have to simplify it in a way but i just cant find a way online that explains it in a way I will understand

im doing these on khan academy

[royal raptor]

oh ok

khan is a very good resource

so lets work this out step by step k?

So g(x) is a function.

x is the input and x is a variable

hold on I have to think on how to explain this

[wicked nest]

no problem im writing this down as we go anyway

[royal raptor]

Uhm I would not reccomend that for reasons

[wicked nest]

why is it bad>

[royal raptor]

uhm

so your starting out right?

[wicked nest]

yes

fresh

no knowledge of algerba at all

[royal raptor]

u see x and y are "variables" and they gan be replaced with other letters and stuff

g(x) is a function and the letter g can be replaced with other letters too

[wicked nest]

I understand but for this one question I would have to write it down no?

[royal raptor]

so I dont reccomend writing evertything I say down bc different problems may have differnent letters and stuff

[royal raptor]

what ar u trying to say?

[wicked nest]

so this is the question right

[royal raptor]

yea

[wicked nest]

I have written down -4x -6 = -5y + 2

[royal raptor]

ok

[wicked nest]

as we go im going to take nots about why we simpilfy it where and why we do this and everything

[royal raptor]

ok thats good

[wicked nest]

i know for another question it might be completely different but i dont know any other way to learn

[royal raptor]

ok

its good your trying and stuff

alright lets start from the beggining k?

[wicked nest]

yes

[royal raptor]

g(x) is a function

g(x) = some equation

the x in g(x) is our input

example if g(3)=4

that means the output of the function g(x) when x is three is equal to 4

good so far?

[wicked nest]

yes that makes sense I have coded a good bit so I understand the way you are explaining a bit more

[royal raptor]

alright lets continue

y is an out put

so when function g(x) is solved we get some number y

lets go to the question k?

[wicked nest]

ok

[royal raptor]

we r to find g(x) is some equation

we know that -4x-6=-5y+2

if u have any questions u can ask k?

[wicked nest]

yes i know what a big problem is though i think

im thinking like this is normal maths

[royal raptor]

yes it sort of is but in a special way

yea

alright so the out put of g(x) is = y

so we have to solve for y

do u know how to do that?

[wicked nest]

ehhh we have to separate -5y and figure out what it is>

[royal raptor]

yes

im sorry man I don't know how to explain better 😔

[wicked nest]

its ok im still understanding just try to explain the best you can tell me how you would solve it

[royal raptor]

so we have to isolate y

-4x-6=-5y-2

first we need to get rid of that -2

[wicked nest]

its + 2

[royal raptor]

on the each side correct

so now -4x-4=-5y

now we need to get rid of y being multiplied by -5

[wicked nest]

oh i get that but i think i did it by accident haha

the actual thing is -4x-6=5y+2

so would we have to minus 2 from both sides?

[royal raptor]

oops

yea

[wicked nest]

so wait

[royal raptor]

-4x-8=-5y

[wicked nest]

we would get -4x-8

ahhhh

right

right

[royal raptor]

its not finished yet

[wicked nest]

ok ok

[royal raptor]

we still have to get rid of the -5 from y

so how would that be done?

[wicked nest]

by division?

[royal raptor]

yes!!

u got this

it will be (-4x-8) / -5

=y

now the output of g(x) = y

so g(x) = (-4x-8)/-5

:DDD

[wicked nest]

wait so thats litreally the answer?

[royal raptor]

yes

u may need to simplify

[wicked nest]

ahh it gives this

[royal raptor]

yea thats the simplified form

[wicked nest]

ok how do i simplify

[royal raptor]

alright

I need like a better way to draw this cause using only typing is not very clear

let me see if i can find a online drawing page or something

[wicked nest]

haha ok

[royal raptor]

i got one

https://share.sketchpad.app/24/0a3-380d-287984.png

yay it works

[wicked nest]

ok let me try understand this haha

[royal raptor]

ok

[wicked nest]

(-4x-8)/-5 so we start with this

[royal raptor]

break it apart

[wicked nest]

you take the top and you seperate them and divded them both by the bottom

where do you get the minus 1 in the brackets from

[royal raptor]

-1 times 4 = -4

if there are two negative signs they cancel out

:)))

[wicked nest]

ok so if it was say

-4x/5 + -8/5

you wouldnt cancel out the minus?

[royal raptor]

yes

if its lets say -78/-37 u would cancel

[wicked nest]

then the answer would just be -4x/5 + -8/5 ?

or would you need to add minus to them all

[royal raptor]

no the negatives cancel out

i dont mean that

since -4x/-5

it will cancel out

u forgot its a -5

[wicked nest]

hmm this is confusing me

[royal raptor]

yea

[royal raptor]

look at this

[wicked nest]

ok

[royal raptor]

its -5 as denominator

not 5

u forgot that

[royal raptor]

on this

[wicked nest]

but no say if there was an answer

and it was

-4x/5 + -8/5 ?

would you keep the - since there is only 2

or would you always just get rid of them

[royal raptor]

ohhh

yes yes

if the answer is -4x/5 + -8/5 you would not get rid of them since they are adding

[wicked nest]

ok im going to try this

ill type it out as i go through it

so we have 3a -5 =4b + 1

we need to isolate -4b

so ill minus 1 from both sides

i get

3a - 6 = -4b

[royal raptor]

good so far

[wicked nest]

now we know that 3a - 6 = -4b right

[royal raptor]

yea

[wicked nest]

(3a - 6) / -4b?

[royal raptor]

no

just divide by -4

so b=(3a-6)/-4

[wicked nest]

ahhhh ok ok

now we have to simplify it

so we have

3a/-4 and 6/-4

would that just be the answer?

no need to cancel out the minus?

[royal raptor]

yes but we have two simplify something else

[wicked nest]

3a/-4 + 6/-4

hmm

what else do we have to simplify

[royal raptor]

6/-4

6= 2(3) and -4 = 2(2)(-1)

[uneven notch]

You're forgetting that it's -6 already

[royal raptor]

so the two on the 6 and one of the twos on the -4 will cancel out

[uneven notch]

-6/-4 = 6/4, not 6/-4

[royal raptor]

its 6/-4

[uneven notch]

You're rearranging for b, correct?

[royal raptor]

oh yea u forgot that part

[uneven notch]

In that case.
3a - 5 = -4b + 1
-4b = 3a - 6

it's a MINUS 6
b = (3a-6)/-4

so b = 3a/-4 -6/-4
b = 3a/-4 + 6/4

Not 6/-4

[wicked nest]

fuck im going to cry

[royal raptor]

dude its ok

[wicked nest]

this is the answer it gives

[royal raptor]

yea

thats right

[uneven notch]

Yeah, that's the same as 3a/-4 + 6/4

[wicked nest]

is there multiple ways you can answer it?

[uneven notch]

For the b that is

[royal raptor]

sort of yes

[uneven notch]

Yes, you don't HAVE to simplify that last bit

Unless it specified simplification

If not, then you can just leave it as b = 3a/-4 + 6/4

The only reason that may be marked incorrect is if you're doing this online and the online marking system can't register the inputs, but it is still completely correct and the same

[wicked nest]

ah i see i see

Im going to have to really keep practicing thanks so much for the help I have to go ❤️

@royal raptor you did help me understand it alot more thank you

[royal raptor]

ok

if u want u can dm me some stuff

i would be glad to help

[wicked nest]

Thank you ❤️ have a nice night

.close

[obtuse pebble]

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[obtuse pebble]

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[steady silo]

i applied the rotation matrix to vector (x,y) and got (xsin(a)+ycos(a),xcos(a)-ysin(a)), where a is the angle
why is it that when i plot a single point it rotates counterclockwise, and when i apply it to y=f(x) it rotates clockwise?

https://www.desmos.com/calculator/sduoiml0xa

[obtuse pebble]

@steady silo Has your question been resolved?

[nocturne creek]

Let's say (x,y) is a point and (X, Y) is where that point ends up after a counterclockwise rotation.

The equation Y = f(X) the specifies all points (x,y) which will end up on the parabola after being rotated counter clockwise.

Which is why your graph appears rotated clockwise.

[obtuse pebble]

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[steady silo]

thanks

i understand now

[obtuse pebble]

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[obtuse pebble]

Please don't occupy multiple help channels.

@true bison Has your question been resolved?

[obtuse pebble]

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[deft swan]

I really don’t understand this

[plush isle]

isn't this just 18?

[deft swan]

How?…

[plush isle]

wait wdym in the circle

like corresponding to the line?

[deft swan]

I think so

That’s why I’m confused

[plush isle]

isnt this just 5a = 38 - (-12)

[deft swan]

Why it say in the circle

[plush isle]

5a = 50

a = 10

[deft swan]

Ohhhh

[plush isle]

38 - 2a = 18

[deft swan]

This is what the thing said

Wait

[plush isle]

wrong place lil bro

[plush isle]

yeah so that seems right

[deft swan]

No one’s gonna read all that man im trying to do math

[plush isle]

go to an unopen help channel

#help-25

[deft swan]

IM

IM

COLLAGE

UR NAME RWALLT FITS U

[plush isle]

<@&268886789983436800> someone kick this kid

[plush isle]

so r u good?

its 18

[deft swan]

I’m so confused can someone pls explain

The thing

[plush isle]

didnt I just explain it

5a = 38 - (-12)

[deft swan]

Yes but why did u do that

[plush isle]

becuase the distance between 38 and -12 is 50

and 5 a

[deft swan]

So this way works and

[deft swan]

That way works too?

[plush isle]

yes

you get the same answer

18

[deft swan]

Which one is easier

Ohhh wait

[plush isle]

yeah

[deft swan]

I understand nowwww

OHHHH

okayyyy

Thank you

[plush isle]

npnp

.close

[deft swan]

Okayyy

[plush isle]

wait can I do that

[deft swan]

I do it wair

.close

[plush isle]

okay

[obtuse pebble]

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[obtuse pebble]

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[buoyant axle]

do i just differentiate?

[buoyant axle]

would it be

[warm shale]

w

[buoyant axle]

then i differnetiate that w.r.t t?

[warm shale]

w

[buoyant axle]

is answer?

[tranquil geyser]

,w diff (x+2)√x

[warm shale]

Results provided by WolframAlpha

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

Requested by ishigamisenku_

[tranquil geyser]

Should be

[buoyant axle]

ok thanks

just didnt know what to do with the info

👍

.close

[obtuse pebble]

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[young egret]

What's your definition of "two whole number that follow each other" ?

[young egret]

It's like n and n+1 ?

or it's n+1 and n+2 ?

[latent walrus]

there is no real distinction between the two things you wrote

theyre both fine

could do n+89 and n+90 if you so wished

so long as n is an integer

[young egret]

Noted thanks u

.close love u

[obtuse pebble]

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[obtuse pebble]

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[marble timber]

can someone help me with inequalities with fractions?

[marble timber]

I know I have to multiply something but I'm not sure if i multiply 3 by 3x+1/3 and 7 by 3 or its something else

[tardy epoch]

3x + 1 > 7 * 3 = 21

[marble timber]

how do you get there, can you explain??

[coarse ibex]

exactly what you said to do

multiply both sides by 3

[marble timber]

oh

so then i divide by 3 again to get the sum of x

??

[tardy epoch]

are you supposed to get something like x > number

[marble timber]

yup

[tardy epoch]

you can divide by 3 next yea

there's no single way to do the problem.

[tardy epoch]

another option is subtract 1 from both sides

[marble timber]

ill try that wait

so it would look like 3x/3 > 6

so then where does the 1 go??

[tardy epoch]

21 - 1 = ?

[marble timber]

20

[tardy epoch]

are you doing this?

[marble timber]

yeah i did that

[tardy epoch]

3x + 1 - 1 > 21 - 1 = 20

what's the left side?

[marble timber]

left side??

im sorry im just confused algebra is confusing for me

[tardy epoch]

3x + 1 - 1 is the left side

right side is =20

[marble timber]

okay so answer should be x>20/3

[tardy epoch]

yea

[marble timber]

okay that makes so much sense!!

Thank you so much!

i have another question..

[tardy epoch]

,w solve 3x + 1 > 21

[warm shale]

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Requested by rie.mann

[obtuse pebble]

@marble timber Has your question been resolved?

[marble timber]

yup!

thank you

[obtuse pebble]

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[eager karma]

can anyone explain these two?

[eager karma]

.close

[obtuse pebble]

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[vast bobcat]

How do I start this?

[obtuse pebble]

@vast bobcat Has your question been resolved?

[vast bobcat]

No

[vernal seal]

just to clarify, what is that strange T?

[obtuse pebble]

@vast bobcat Has your question been resolved?

[vast bobcat]

It’s a sign

[obtuse pebble]

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[obtuse pebble]

@drifting wharf Has your question been resolved?

[drifting wharf]

no

[obtuse pebble]

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[cunning parrot]

E

[cunning parrot]

Is case one switch signs cuz

X < 0 right so it’s neg

[north bridge]

yeah

but everything with the power of 2 is going to be positive

so x^2 >=0

@cunning parrot any questions?

[cunning parrot]

Ightttttt

We good Ty

[north bridge]

np

[cunning parrot]

.close

[obtuse pebble]

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[fiery shale]

hi guys, im confused witht this question. Wondernig if I could get some help

[gleaming musk]

Bro

Angle AOG is 22.5 degrees because its bisected

Angle AOB is 90 degrees

Let the side of square to be x

Therefore AO = x * root(2)/2

Then u can use trignometry to find OG in terms of x

Similarly in triangle ABF

Use trignometry to find BF

Then subtract that length from BC

Then u get both OG and CF in terms of x

Fet their ratio and done

*get

[obtuse pebble]

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[slate hamlet]

Hi, I need to find the Area bounded between $y = -\sqrt{(-x)}$ and $x = -\sqrt{(-y)}$

[warm shale]

Adarsh