help-17

[fast moth]

nono i was confused about what i was explaining

the exponents idk what that is

[vast shale]

like

what you need to know is that y = mx + b describes a linear equation

everything else does not

thats all they are trying to say pretty much

[fast moth]

im not very good at math since im a slight bad kid so im never in class i havent actually even been inside of a math lesson this entire year

[vast shale]

I'm actually learning the same, how do you deal with the negative numbers?

[fast moth]

but i still want to try to understand some stuff

[astral shadow]

$a^b = c$ here is an exponential, b is the exponent.

[vast shale]

Please dont ask questions in other people's channels. Open your own channel to avoid clutter and confusion

[twin meteor]

! What the hell am I doing here?

[fast moth]

all of the numbers confuse me sm 😭

and letters

[vast shale]

i dont think this is something we can really help you with from what you are saying lol

[fast moth]

oohhh

well like

[vast shale]

i think you should watch something like khan academy

[fast moth]

i end up getting zoned out im a lot better whenever somebody explains it

when im abel to ask questions too

its why i joined this

[vast shale]

honestly you have not asked a specific question at all yet so its really hard to explain anything yet

[fast moth]

like i can never really focus on it then i get confused and i forget everything that i learned

[vast shale]

can you like

[fast moth]

oohh

okay ill explain what im confsued on

[vast shale]

point out something in particular

okay great

[fast moth]

whenever i look at equations i get confused on the letters and stuff i dont understand what they want me to do ever

[vast shale]

thats context dependent

[fast moth]

wait ill pull up more math work

[vast shale]

ok

great

provide problems instead of like talking about it abstractly

[fast moth]

im so going to fail my math test 😭

heres something

im not sure if this is competely what will be on the test but this assignemnt is the only one thats open

im always confused by the letters and stuff

i dont know what im supposed to do here

[vast shale]

ok first of all like

calm down it is only difficult if you tell yourself that it is

[fast moth]

okay

[vast shale]

here is a rule of thumb for you

a linear equation describes the equation of a line and it usually comes in two forms

y = mx + b
or
Ax + By = C

As an example

y = 3x + 4

[fast moth]

what do the letters stand for though

[vast shale]

this is a linear equation

[fast moth]

what makes it not a linear equation

[vast shale]

[ \c b y= \c g m \c o x + \c p b ]
where:

$\c b y$: this is the dependent variable. It changes when $\c o x$ changes.

$\c o x$: this is the independent variable. It describes what $\c b y$ will be

$\c g m$: this is the slope. You can find it by the equation $\ds m = \f{y_2 - y_2}{x_2-x_1}$

$\c p b$: this is the $y$-intercept. It is what you get when you set $\c o x = 0$ in your equation

[fast moth]

oohh i was told awhile ago that the numbers are just like inplace of the answer it may be for a different type of math

thats why ive been confused

[vast shale]

i will be totally frank with you: There is a lot of foundational knowledge you are missing and you should really backtrack a bit and start learning from the start

[fast moth]

i know that

i havent really fully attempted on learning in a couple years

and

since im awlays getting suspended or getting iss

i can never actually sit in a class room and try

and when i do try i end up getting confsued then overwhelmed so just give up

thats why im so behind

and its nearly impossible to really learn years of math

but i cant backtrack since id be learning stuff that isnt even on tests

ive made attempts in the past

[vast shale]

You really don't have to justify yourself or something to me

[fast moth]

im not im just explaining why i aint smart

[vast shale]

ok

[fast moth]

where do you think i should start then

i believe my math test is in 2 days

maybe 3

[astral shadow]

Middle school mathematics.

[fast moth]

im in middle school

[vast shale]

start with prealgebra

[fast moth]

okay

will i be able to learn it all in 1 day

[silent lark]

@fast moth I'll try to help.. do you know what graph looks like? With y and x?

[fast moth]

i skipped school today to study

i do

[silent lark]

okay good

[vast shale]

https://www.khanacademy.org/math/pre-algebra

study units 6 and 7

[fast moth]

okay

do i need to look at the rest

or is it not important

[vast shale]

Maybe. I don't know your curriculum

I'd advice to study all of it because you will need it now or in the future anyways

[fast moth]

okay

[silent lark]

well basically, the functions you sent can represent a graph
y = (something in terms of x)

[fast moth]

ooohh

so like

am i able to look at it as if its a graph

or will that make it harder

[silent lark]

a linear function is something that represents a line! hence the term linear

[silent lark]

I suggest you to take a piece of paper now and draw a y and an x axis

y is a vertical while x is horizontal

and maybe, you can annotate that graph and give it numbers

[fast moth]

i think i understand

[silent lark]

something that looks like that

[fast moth]

oh yea i saw that in the beginning of the year

[silent lark]

okay

[fast moth]

i think thats what my teacher was trying to teach us

b4 she quit

[silent lark]

oh

okay

graph that

[fast moth]

okay done

[silent lark]

okay now

let's say you have

y = 2x

[silent lark]

and do you see the numbers on the x-axis?

what happens to y, if x=0, x=1, x=2, x=3, etc?

[fast moth]

yea i can

um

wait im thinking

im not sure

[silent lark]

in y = 2x

if x=0, then y = 2 x (0) = 0
if x=1, then y = 2 x (1) = 2
etc

right?

just substitute x for the values you see on the graph

[fast moth]

why would y= 2

[fast moth]

oh wait i get that now

[silent lark]

y = 2, when x=1, because in y = 2x, if we replace the x by 1, then y = 2

get it?

[fast moth]

yea i do

[silent lark]

okay

can you do that on your graph

and make a dot

for like the first three values of x for example

[fast moth]

thats what im about to do

[silent lark]

good! 👍

[fast moth]

donee

[silent lark]

okay

now

what happens

if you draw a line through all the points

[fast moth]

it would make a line right?

which would be uh

linear

[silent lark]

yep, precisely

yes!

[fast moth]

OOHHH

so if it doesnt equal 1 line then it isnt linear

that makes sense omg

[silent lark]

what do you mean?

[fast moth]

like

if on the graph if isnt a line then that makes it isnt linear

[silent lark]

yes

[fast moth]

i was confused how ud find out how it would be linear or not

[silent lark]

yep

do you know how graphs look like?

[fast moth]

yea i believe so

[silent lark]

if I gave you y = x^2 , do you know if it it's linear or not?

[fast moth]

wait i need to think

[silent lark]

okay

draw it!

do the same thing

play around

draw another graph with y and x

and plug in some numbers

[fast moth]

okay

omg im confused again

[silent lark]

okay it's okay don't worry

have you drawn a graph?

[fast moth]

what does x^2 mean

yes i have

[silent lark]

x to the power of 2, do you know what powers are?

[fast moth]

slightly

ive heard of them

[silent lark]

okay powers are basically just a simpler way of saying

[fast moth]

i sound so dumb omg

[silent lark]

I'll give you an example, it's easier to visualise:

[fast moth]

okay

[silent lark]

2^3 = 2 x 2 x 2 = 8
3^2 = 3 x 3 = 9
4^3 = 4 x 4 x 4 = 64

basically

how many times I multiply the number

[fast moth]

so its for multiplying?

[silent lark]

it uses multiplication

basically, it's repeated multiplication

[fast moth]

so x would go up by 2 or 4?

[silent lark]

wait, not so fast

[fast moth]

oh i dont go there yet

[silent lark]

are you use you understand powers

so

let's say you have 2^3, we want to multiply 2, 3 times!

so 2 x 2 x 2

[fast moth]

oohh

but what if it has an x?

[silent lark]

another example would be 2^4, 2 x 2 x 2 x 2

[silent lark]

you mean like x^2?

[fast moth]

yea i do

[silent lark]

well, to find out, you have to substitute values of x=0, x=1, x=2 etc

try it yourself

[fast moth]

math is so confusing

[silent lark]

haha

when you get it, it's very satisfying

give it a try

[fast moth]

i feel bad that i dont really understand still

[silent lark]

it's okay

okay

you remember the y = 2x dots we drew?

[fast moth]

yea i do

[silent lark]

for y = 2x

[fast moth]

i have bad memory anytime i attempt to learn i get it 1 try they i totally forget again

[silent lark]

let's try the same thing, but for
y = x^2, so instead of x, we will try various numbers such as x=0, x=1, x=2

[silent lark]

the good thing about math is that there's not much memory, it's all logic!

[fast moth]

okay do you need to attmept a couple numbers or is there a way to know first try

[silent lark]

try it first and then I'll give you the way to know first try

[fast moth]

not when u need to do a ton of stuff that u need to remember..

okay

[silent lark]

I know that you have a lot of stuff to remember but it's life, it doesn't get better after middle school trust me

so if you want to have an easier high school and university, bare with me

[fast moth]

i go to highschool next year

😭

[silent lark]

yes exactly, it's now or never to understand that

[fast moth]

ik

[silent lark]

give it a try

[fast moth]

i used to be good at math so i thought i didnt need to focus

til

i ended up so so so behind

i will now

[fast moth]

?

btw i used an online graph

and drew it on there

[silent lark]

let's think about this

[fast moth]

okay

[silent lark]

x =1, right

[fast moth]

yes

[silent lark]

you go one line to the right from the center

when x=1, and we said y = x^2

we replace the x in the function y, by x=1

[fast moth]

did i do the wrong thing?

[silent lark]

so effectively, y = 1^2 = 1 x 1 = 1

okay let's try another way

I don't feel like you understand

[fast moth]

math isnt my strong suit so its surprising when i do understand

[silent lark]

could you annotate the axis? with numbers from 1-10

the y and the x axis

[silent lark]

no one is born bad at math, it is just different for everyone

[fast moth]

i wish math was as easy as ela

i havent ever failed an ela test

[silent lark]

focus on maths for now, you'll get satisfaction if you do well on the test

[fast moth]

its a benchmark btw

[fast moth]

like u want me to number them all like u did?

[silent lark]

yes

it will make it easier for us to work with

[fast moth]

oh ive been just doing it in my head

[silent lark]

no

math needs to be concise

write everything down

[fast moth]

is this math even supposed to be hard

or is this supposed to be easy 😭

[silent lark]

this

is

as easy as it gets

[fast moth]

oh god

[silent lark]

I'm afraid

but

don't be afraid, maths is good when you know what you're doing

if you focus now you'll make your life so much easier

[fast moth]

does math really play apart of life out of school

[silent lark]

yes, in almost every field

even majors like psychology where you wouldn't necessarily expect it to be

[fast moth]

oh god

okay ill write it down

[silent lark]

yes, focus

[fast moth]

i think ill actually need to do this on paper now that im doing numbers since its hard to do placing

[silent lark]

yes

[fast moth]

ill grab my math notebook ill be here in a second

[silent lark]

maths pen and paper like the good old days

[silent lark]

np

[fast moth]

i am back

[silent lark]

okay

do the graph with y and x and write down numbers

[fast moth]

i havent really looked inside my bookbag since i dont bring it to school but i found a book for what im working on that i forgot my teacher handed me

okay

its unit 3 linear relationships or whatever

[silent lark]

it's okay, paper is paper

[fast moth]

i grabbed it too not sure if i was supposed too

[silent lark]

if you understand by experimenting yourself, then you'll understand better anyway

draw that graph

[fast moth]

done

[silent lark]

okay

now

you remember what we did with y = 2x a while ago, right?

try for y = x^2, the same way, by substituting values of x with the numbers of the x axi

and when you get a value, draw a dot on the graph

[fast moth]

i sadly will not be able to take a photo since i am on my laptop mainly why i decided to use one online

[silent lark]

it's okay

as long as you do it

[fast moth]

okay

can you tell me how to like

figure out what x is going to =

u said i would after i made an attempt

[silent lark]

x will always be the values at the bottom, on your x axis

what we want to know is

"What will y be, when x is a certain number?"

[fast moth]

my friend is so shocked that im attempting math rn

[silent lark]

we could try by asking ourselves, what will y be, when x=0? for example

[fast moth]

it would be on the y line right?

next to the number 2

[silent lark]

when x=0?

[fast moth]

yea

[silent lark]

let's compute it:
In the function y = x^2

let x = 0, so y = 0^2 = 0 x 0 = 0

[fast moth]

oh so it would be on 0

i didnt think of that

[silent lark]

yep!

at x=0, the function y = x^2 would be at the origin, that's how we call it

[fast moth]

then if its 1 then it can go up bc 1x2 is 2 or whatever right

oh wait

so if its on 10 would it be 20..

[silent lark]

let x = 1, so y = 1^2 = 1 x 1 = 1

[fast moth]

oh

[fast moth]

thats confusing

[silent lark]

why don't you steal this sentence from me and try for x=1,x=2,x=3

let x = ... , so y = x^2 = ... x ... =

[fast moth]

ohh

okayokay

[silent lark]

just substitute the values of x and and see what happens

[fast moth]

so it can be any substitute that isnt important?

[silent lark]

it doesn't matter, but I doubt that you managed to have space to write
x= 99 on your graph xDD

your graph isn't that big hopefully

[fast moth]

it is not

i dont have time for that..

i only did 10

[silent lark]

I think just for simplicity we can still for small values of x

yep, just try for the first 3-4 values of x

[fast moth]

wym 3-4

[silent lark]

like, x=0, x=1, x=2, x=3

just these 4

[fast moth]

ohh

wouldnt it be 2 up from those numbers or would i mulitiple whatever number i pick by 2?

[silent lark]

try it and see for yourself

[fast moth]

how would i know if im correct or not tho

[silent lark]

I'll show the correct answer when you're done

[fast moth]

oh okay

[silent lark]

so that you can compare

[fast moth]

ill just pick 3 then

donee

[silent lark]

does it look like a line to you

if you were to connect the dots

[fast moth]

well i put 2 lines down

i mean

2 dots down

like

one that is just 2 above and one that is 2x3

[silent lark]

but

you also have the origin

[fast moth]

origin?

[silent lark]

the point when we set x=0

we found out that y was also equal to 0

[fast moth]

OH

well what ive drawn is not a straight line

[silent lark]

well, good, because it's not meant to be!

[fast moth]

oh

[silent lark]

y = x^2 is a non-linear function

[fast moth]

OMG I COPIED OFF THIS ONE BOY IN CLASS ONCE I THINK HE WAS DOING THIS STUFF

[silent lark]

lmao

[fast moth]

i just realised bc he had a random line w dots

on this

[silent lark]

do it yourself from now on, you're smarter than that ;)

let me show you what your graph should look like

[fast moth]

well when i had that teacher when i asked what to do she was just like

"um read the paper"

[silent lark]

does your graph look like that?

[fast moth]

oh it does not

[silent lark]

oh, check your calculations

so let's think about this

[fast moth]

the fact im grounded and i stole my laptop back while my mom is asleep for this

okay

[silent lark]

In the function y = x^2

at x = 0
we have y = 0^2, which is 0 x 0 = 0

at x = 1
we have y = 1^2, which is 1 x 1 = 1

at x = 2
we have y = 2^2, which is 2 x 2 = 4

do you get what I mean

[fast moth]

oh so i was supposed to do 1 for each number

[silent lark]

yep

[fast moth]

is it supposed to be 3 dots?

[silent lark]

yep

you have to do one for each

[fast moth]

i did itt

[silent lark]

so each values of x, represents a value of y

but, in our case, we want to find out what that value of y is

that's why we have functions in the form y = something

we want to know what these values of y are

[fast moth]

theres multiple dots thouhg

do u add them

[silent lark]

can you draw a line that passes through all dots?

I'm assuming that these are the dots that you have

[fast moth]

it is

[silent lark]

check if the coordinates match

[fast moth]

oh they dooo

[silent lark]

good!

[fast moth]

hip hip hooray i did sometihng right

[silent lark]

if you connect the dots, you should get something that looks like this

[fast moth]

i did connect them

[silent lark]

good

you will notice that

that does not look like a line

[fast moth]

yea i did realise that

OH WAIT SO TO DO THE FIRST THING I WAS LOOKING AT B4 LIKE

this is what i used as an example of what im confused on

[silent lark]

yesss

[fast moth]

could i use what ive learned so far for this

?

[silent lark]

ofc

you could solve all of them already actually, but it would be time consuming

[fast moth]

is there a way to know without solving them?

[silent lark]

yep! there's a trick

so

[fast moth]

uh

[silent lark]

for all functions where the x is not raised to an exponent/ power

it is a linear function!

[fast moth]

what..

[silent lark]

ignore them

focus

[fast moth]

okay will do

[silent lark]

if y = is composed of something that is just in x

then it is a linear function

[fast moth]

so the first one is linear then the second one is nonlinear?

[silent lark]

yes!!!!!

well done

you could graph it to prove it, but you get the idea

[fast moth]

unsure how to do number 3

is number 2 linear?

or is there something im missing there

[silent lark]

number 2 is not linear

[fast moth]

i meant

number 3

it was a mistype

[silent lark]

ah

number 3 is linear, because it has a coefficient of x only

you could sketch it to visualise

[fast moth]

number four is nonlinear right bc it has the thing next to the x?

[silent lark]

yes

you're right

we call them exponents, or powers

[fast moth]

then 5 is linear and 6 is nonlinear?

[sonic valley]

In an equation check the highest degree of x
Like felix said if it's one i.e., x it's linear

[fast moth]

omg i learned something knew

new

[silent lark]

yes!

well done

[fast moth]

okayy

[silent lark]

to answer your doubt about y = (-1/2)x

this is what it looks like if you were to skecth it

[fast moth]

okayy

[silent lark]

so it looks like a line, just the mirrored way

[fast moth]

im a lil confused on the next question on this random thing im working on

[silent lark]

show me, and I'll try and help

also, before we move on

https://www.desmos.com/calculator

try this website

[fast moth]

i mean its simple but its wrote a little bit different

[silent lark]

and play around with it

[fast moth]

my teachers talk about it a lot

[silent lark]

can you show me

[fast moth]

im trying to see if i can understand it first since theres a chance i can

but here u go

i think its linear but i cant tell

its simple but

[silent lark]

apply the same logic

is there any exponents to x?

[sonic valley]

Check the highest degree of x

[fast moth]

um

is 2 an exponent

[silent lark]

I don't think a middle schooler would know what a degree means

[fast moth]

yea i dont..

[silent lark]

but 2 is before x, no?

[fast moth]

yea thats why i was confused

so theres no exponent?

[silent lark]

yep

[fast moth]

so it is an linear?

[silent lark]

no exponent

yep

[fast moth]

i just realised

this is the first assignment im going to turn in to my new teacher

shes going ot assume im smart..

[silent lark]

lmao

[fast moth]

😭

[silent lark]

good

start on good basis!

and try to improve your maths, trust me it pays off

[fast moth]

well actually the first day she saw me she saw me try to walk out of class and the entire class i had my earbuds in while i played flappy bird and i put the paper she gave to me behind me..

most of the time i only study for tests

[silent lark]

you can watch youtubers such as Khan academy or the organic chemistry teacher to learn maths, they're really good at explaining

[fast moth]

okay

idk what this is..

[silent lark]

think about it

[fast moth]

i thought i sent it b4 mb

i tried to

but

[silent lark]

is the number

before or after the x

[fast moth]

its not a full number

OH WAIT

oml im so dumb

[silent lark]

it doesn't change the logic

[fast moth]

i was focused on the confusing nnumber

[silent lark]

can you open https://www.desmos.com/calculator ?

[fast moth]

yea

there

[silent lark]

can you give desmos the function

and you'll see how the function graph behaves

[fast moth]

i may randomly leave since im on my laptop secretely

i stole it out of my moms room

[silent lark]

okay

[fast moth]

i just heard her cough 😭

[silent lark]

learn as much as you can while you still can

[fast moth]

how do i do that

[silent lark]

go on

[fast moth]

oh nvm

isee it

[silent lark]

"graphing calculator"

and on the left you should have a panel

you can just write y = 0.46x there

it should give you a nice little graph

[fast moth]

oh so its linearrrr

[silent lark]

yep!

now

change the value of 0.46

to something else

just for fun

[fast moth]

it stayed a line?

so

no matter what number it is

it will be a line?

[silent lark]

yes

you might have noticed that

the only thing that changed

is how steep the line is

[fast moth]

yea i did

[silent lark]

yep! but it will

always be linear

[fast moth]

its a lot better to know that

[silent lark]

you're right

[fast moth]

im a lil confused on the 2 line thing is it still linear if theres 2 different lines???

[silent lark]

omg

[fast moth]

huh

whats wrong

[silent lark]

I would be tempted to say nonlinear

[fast moth]

thats what i was thinking

but at the same time

they r two straight lines

[silent lark]

yes, go for nonlinear

[fast moth]

okay

[silent lark]

because

it's not a straight line

[fast moth]

oh god its getting harder

[silent lark]

haha

[fast moth]

well idk if this is harder or im just dumb

[silent lark]

nah probably harder

[fast moth]

well

[silent lark]

the teacher is trying to see to what extend you understand the concept

[fast moth]

its not harder harder

but

[silent lark]

oh! interesting one

so

do you know what a square root is?

[fast moth]

not really

[silent lark]

I think you will have to watch videos for that, but for now, keep in mind that taking the square root a number (the symbol you have on the picture in front of), is like raising to the power of 1/2

so x is raised to a power

[fast moth]

whats a power again i think you told me but im not sure

my memory is so bad

[silent lark]

a power, also known as exponent, is repeated multiplication

let's say I have 2^3, then I'm gonna repeat and multiply 2 three times

so 2 x 2 x 2

[fast moth]

oh its thattt

exponent is how i remember it

[silent lark]

if I have 2^1000 ( then it's 2 x 2 x 2 x 2 x 2 x..... x 2 until I do it 1000 times)

a huge number

[fast moth]

oh my

[silent lark]

the symbol you have on the picture

is just a fancy symbol for the exponent 1/2

so x, has a power

hence it is.. nonlinear

[fast moth]

i was kinda thinking it was linear

[silent lark]

it has an exponent though

[fast moth]

yea ik

i meant

at the smart

start

[silent lark]

thanks

[sonic valley]

I hope she can picture it now

[silent lark]

tne coefficient affects the steepness of the function as you saw before, but it does not change whether a function is linear or not

you played around before with y = 0.46x if you remember and played with the coefficient

it does not change whether the function is linear or not however

[fast moth]

oh yea

linearity?

[silent lark]

whether a function is linear or not

[fast moth]

okay

question

is it dumb to ever go with your gut with math

[silent lark]

yes and no

yes as long as it's reasonable guesses but maths is a science of precision and you need to be very clear in your head to do anything

[fast moth]

okay

[silent lark]

that's one good thing about maths

[fast moth]

in the past i kinda just glimmed over the question and picked what felt like what would work

[silent lark]

unlike English, if you understand everything then you'll get 100% on your test

in English, it's more subjective

[fast moth]

yea i like it more when the answer is just

infront of me..

[silent lark]

lol

you should train your brain to think, it will help you a lot in life

[fast moth]

since you can just read the questions ifrst then the story and highlight the important parts

then its all there

[silent lark]

enjoy the fact that you're still young

to delve deeper

and see it as an advantage

[fast moth]

how old are you

is that a weird question

[silent lark]

I am 18

haha

[fast moth]

oh

my brother is 19 when i ask him to help he always says he forgot what that is or tells me the high school way to do it

then im all confused bc he just told me like 40 different ways

[silent lark]

time to be smarter than your brother

[fast moth]

😭

omg

i want to be smarter than him

[silent lark]

yes

work hard

it pays off

maths is particularly rewarding

either you understand, or you don't

[fast moth]

yea ig

i regret when

i started bumming school

i blame covid 😭

[silent lark]

it's never too late to catch up

until it's too late

maybe start watching some youtube videos

[fast moth]

idk how to explain it but im better at learning from reading stuff

whenever im listening

i zone out

then

i get bored

and i start doing other stuff

[silent lark]

yeah it's fine

[fast moth]

thats why videos never help

thats linear right?

[silent lark]

try graphing it

on desmos

[mystic barn]

hi

[fast moth]

um

it made a weird screen

[silent lark]

haha

it looks weird right

[fast moth]

yes

very

[sonic valley]

The teacher is trying to make their students understand in every way possible

[silent lark]

I know

this one is a particular one!

if you're unsure, use the technique we used at the very start, where we plugged in values of x to see the behaviour of y

[fast moth]

hmm

the paper technique thing

[silent lark]

https://youtu.be/chKmEKVxJBI?si=GItQ1w8thj65hRwi

[fast moth]

with the grap

[silent lark]

watch this video

[fast moth]

oh

ughghhgh my sister is being annoyed about me playing something

[silent lark]

ignore her

[fast moth]

ill js turn on captions nvm

[silent lark]

stay focused

captions are fine too

[fast moth]

she is 17 and shes about as dumb as me

[silent lark]

don't say that

you're sleeping less stupid tonight already

you're learning

[fast moth]

done

[silent lark]

did you understand?

[fast moth]

yea the 1/x bascially makes it an half rfor the y or whatever and it would be nonlinear

[silent lark]

yep

pretty much so

[silent lark]

turns out that 2/x is just 2 x 1/x

so no matter what the numerator is, the top of the function, it would always be nonlinear

[silent lark]

not bad!

[fast moth]

yea ig

i was hoping for an 100 😭

[silent lark]

keep on improving

it's okay

the best way to learn is by making mistakes

the more mistakes you do, if you learn from then, then you'll improve significantly

[fast moth]

i thought i understood the tables so i was attempting them myself but ig not

those are the wrong ones btw

[silent lark]

oh

x^(2) is the same as the exponent thing by the way

that's why you got them wrong

[fast moth]

yea maybe i clicked the wrong one

bc ik that

[silent lark]

ah

yes, stay focused and double check next time if you can

[fast moth]

okayyy

[silent lark]

not bad! keep on working and do well for that test

I'll study some maths myself too now

[fast moth]

okayyy

ill try my best

[silent lark]

it was fun teaching you, promise me to try and do your best on that test

watch as many youtube videos and graph on Desmos if unsure

[fast moth]

okay ill try to do as much as possible today

[silent lark]

good luck with that

have fun

[fast moth]

u toooo

[silent lark]

bye

[fast moth]

ty

bye

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[olive herald]

how do i solve this

[olive herald]

ok i will try it

i did the same thing as this but i put subtraction in denominator instead of addition lol

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[empty meteor]

how is this 47 and not -58

actually so confused

what ive done is found the deriv of F(x)

then subed the numbes with f'(-1)

i got -58

how is it 47

yes

i got -58

for the deriv?

(x^11)(h')+(h)(10x^10)

what

[twin meteor]

help a sad kid | desi

[empty meteor]

wait even then it would still be -55 - 8

yeah

wait am i doing some math wrong here when im subbing

11(-1)^10 equals -11

no?

wait how

wait im so slow

i put -1^11 in the graphing calculator to make sure

but i forgot graphing calculators are always going to make sure its a negative

when its actually a positive

it says -1^10 is -1 as well

its still showing up as -1

oh

LOL

its been a long time since ive done math

okay lets start over

new numbers

its practice

i got 3

no wait

okay

its -12

im actually super dumb

no i got it right

i just messed up my numbers LOL

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[rain hollow]

In a trapezoid the bases big angles bisectors cut each other to the second base the trapezoids hight is 12 and the bisector lenghs are 13 and 15 i need to find all the sides of the trapezoid

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[rain hollow]

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[lethal plank]

The right triangle △ABC has AB = 12, and AC = 16. Let (AD bisector of the angle ∠BAC, D ∈ (BC), DE ⊥ AB, E ∈ (AB), and DF ⊥ AC, F ∈ (AC). a) What is the nature of the quadrilateral AEDF? b) Shown that DE/AC + DF/AB = 1.

[lethal plank]

I need help with point b, i've proved point a.

[lapis marten]

Notice that BED is similar to BAC

Same with DFC

That allows you to rewrite your problem statement

[lethal plank]

So if k is the simmilarity coeficient

ED is k*AC

[lapis marten]

Yeah, or DE/AC = BD/BC

( = k)

[lethal plank]

right, yeah

But is the simmilarity coeficient of BED, BAD and DFC the same?

[lapis marten]

No, it isn't, but you don't need that

[lethal plank]

I see.

Anyways, DE = k*AD

[lapis marten]

You don't even need the fact that AD is a bissector

[lethal plank]

DF = k*AB

[lethal plank]

Really?

I was gonna use the bisector theorem

[lapis marten]

this is the first step, you can do something similar to DFC as well

[vocal sleet]

@lethal plank Has your question been resolved?

[lethal plank]

Got stuck again...

[lapis marten]

So, DF/AB = DC/BC

[lapis marten]

Substitute both this one as well

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@lethal plank Has your question been resolved?

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[sullen lotus]

For each node v on the right side, there should be a directed edge to another node u on the right side if and only if the set corresponding to v is a subset of the set corresponding to u. So in short, what funcitons are subsets and to which? I dont really get if the operators in front of the functions play any role? My thought process would be, for example that in the first one (sqrt of n) given that its O, has everything in its subset thats smaller this would be (if im allowed to multiply with sqrt (n)) everything thats in the right quadrants?

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@sullen lotus Has your question been resolved?

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[vast shale]

I need help with a, b, e

<@&286206848099549185>

[formal charm]

For a) what does it mean for the slope if the tangent is horizontal?

[vast shale]

It means the slope is undefined.

[formal charm]

Nope

[vast shale]

?

[formal charm]

For example this would be a horizontal tangent

So we have slope 0

[vast shale]

Oh ok

0

[formal charm]

So you calculate the derivative

[vast shale]

4/3x^1/3

4/3x^-2/3

@formal charm

[formal charm]

Yes those added is the derivative

Since this is the derivative (slope) we just need to find when f’=0

[vast shale]

lost

[formal charm]

f’(x)= 4/3x^1/3+ 4/3x^-2/3 is your calculated derivative

So slope 0 means f’(x)=0

That’s the meaning of the derivative it’s the slope of the tangent line of your function f

[vast shale]

So basically I solve for x?

[formal charm]

Yeah

And then your point/s is/are (x,f(x))

For the b) look what happens for f’(x) when x is close to 0

[vast shale]

?

[formal charm]

What happens to the slope close to zero

Vertical Tangent would intuitively mean slope is some kind of “infinty”

[vast shale]

Interesting

Oh so there are no vertical lines

I'm so idiot smh

.close

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[formal charm]

What do you mean

There are vertical lines it’s just not a function

This function actually has a vertical tangent

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[normal imp]

What type of data is represented?

Univariate categorical
Bivariate categorical
Univariate numerical
Bivariate numerical

[vast shale]

Sorry I did not see this.

[vocal sleet]

@normal imp Has your question been resolved?

[normal imp]

<@&286206848099549185>

[soft walrus]

is the distrbution over categories or numbers?

[normal imp]

categories

[soft walrus]

and how many modes are there (bumps)?

[normal imp]

bumps?

[soft walrus]

how many peaks are there?

[civic lintel]

i think you’re confusing unimodal with univariate

[soft walrus]

oh wait, I am, sorry about that

[civic lintel]

univariate means that the outcome depends on one variable

bivariate means it depends on two

categorical vs numerical is based on the outcome (is it a number or not?)

so does the distribution depend on one or two variables?

and is the distribution about a number?

[normal imp]

one right?

[civic lintel]

yup

[normal imp]

its categorical right

cause we're going based on colour not numbers

[civic lintel]

that’s actually the thing that it depends on

the result we want is the number of candies from each color

[normal imp]

ooh okay

gotcha

thank you

[civic lintel]

no

np*

[normal imp]

.close

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[marble harbor]

i got cos(2x) to be 24, is that right?

[icy pagoda]

how did you get 24? remember that the range of cosine is only the closed interval [-1,1].

It would be helpful to draw a triangle

[marble harbor]

tan x = sinx/cosx, tanx = -12/5

cos x = 5
cos(2x) = cos^2x-1

5^2-1 = 24

idk

[icy pagoda]

you are right that tan = sin/cos

but this doesn’t mean that the numerator of the fraction is the sine and the denominator is the cosine

-12/5 is just their ratio, not their actual values

[marble harbor]

so how shud i find cos x

[icy pagoda]

do you know how to construct a triangle using the given?

[marble harbor]

hmm lemme

try

[icy pagoda]

okay

[marble harbor]

actually

ngl

i dont think im doing this right

[icy pagoda]

okay do you remember soh cah toa?

[marble harbor]

yes

[icy pagoda]

okay so now what is o and a in this case?

[marble harbor]

12 is o and -5 is a

[icy pagoda]

correct so now let’s draw a triangle with legs 5 and 12

and also mark where x is

[marble harbor]

pythag triple

the hyp wud be

13

right

[icy pagoda]

yes

okay

let’s go back to your identity for cos(2x)

what identity do you want to use?

[marble harbor]

prob the cos^2x-1 oen

[icy pagoda]

can you review that one? you’re missing one constant

[marble harbor]

whoops

2cos^2x-1

[icy pagoda]

great!

what is cosx?

[marble harbor]

a/h

5/13

25/169

*2

[icy pagoda]

yes

[marble harbor]

50/169

-1

[icy pagoda]

yes!

[marble harbor]

-119/169

is that the answer

[icy pagoda]

exactly!

[marble harbor]

great

lol

.close

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[unique sluice]

i made an error somewhere in number 2 but im not sure where

[dull bear]

Notice how the bottom limit is larger than the bottom one, so you basically multiply your answer by -1

As you have that $\int_9^0 f(x) \dd x = -\int_0^9 f(x) \dd x$, with the latter integral being what you thought it was

[twin meteor]

@dull bear

[unique sluice]

i got an answer of (-6.63) so then i multiplied by -1 and got (6.63) and it was wrong

am i missing something?

[dull bear]

Oh, maybe "nearest thousandth"

@unique sluice

[unique sluice]

humm

becasue for pi i just used 3.14,i suppose i could try using full pi.

anything else look off other than that

[dull bear]

As in you rounded to the hundredth rather than thousandth, no?

But otherwise looks fine to me in method!

[unique sluice]

no i mean for pi i did not use the full pi, like 3.14159265359 etc

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[rough zenith]

Does anhybody how to add solutions on aops

i want to add my own solution

[mental falcon]

maybe ask on the site's own forums

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[eternal marsh]

sqrt (u^2/x)100

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[vast shale]

i need help finding out what i did wrong here, i dont know which parts are oficially a b and c

[vast shale]

you are the one who designates which is a b and c

i dont know what i did wrong then

the answer is 64

and i got 2.144

did i use the wrong formula

yep i got 64 too hang on

[edgy gulch]

your sides are wrong

your c side should be the side that is opposite facing to the angle

[vast shale]

yea

that's the important side

i did it wrong again

i dont know what im doing wrong

Is your calculator in degree or radian

um idk

scientific calculator victor 940

should i be using the other formula

or isnt that to find the side length

[edgy gulch]

make sure your calculator is set to degrees

and type it again

[vast shale]

give me a sec

omg

i dont know what i doing

im

[vast shale]

Dont think it'll work

yeah its the wrong answer

Can u use the a^2 = b^2 + c^2 -2bccosA formula?

Not that yours is wrong but I've never used the formula in fraction form b4

So its confusing lmao

[edgy gulch]

i got 64?

[vast shale]

ya me too

Great

idk what else i was doing wtf

oh i

i didnt do the inverse function

Lmao