help-0

[queen raven]

how would i factorise this:

idk how to deal with leading coefficients that are not 1

[alpine sable]

Which one?

yo

can someone help xd

i think i forgot basic math

Ok let me see

can someone tell whats 35 divided by 14

i keep finding 2.7

and calculator says 2.5

[sweet gulch]

2.5 is correct. Could you show how you got 2.7. Maybe we can find the error?

[alpine sable]

Yeah it's not gonna be very easy to do

[sweet gulch]

I didn't see, the channel was busy.
Sorry :D

https://i.imgur.com/RTD68fT.png
I simplified it a little bit.
With that you could brute-force by trying some numbers.
I got the solution on the 4th attempt.
@rigid mesa

[sweet gulch]

Our prof often solved it that way.
Not sure if your prof wants it that way. See if he's fine with that.

Because of the -1 and the 1+, I'd guess that there isn't really a better way to simplify.

And I'd say that's there on purpose

[sweet gulch]

The 07 is not the next number. You don't simply append the 07
You have to take the 7 and multiply by 10 (going to the next digit)
Then you divide again (70/14) which is 5. Giving you the missing .5

[restive fable]

hello anyone here who can help me with this?

[sudden garden]

is factoring is same as writing expressions as a product of factors

[earnest cairn]

Yea

[sweet gulch]

Is this the correct approach and conclusion? (Using quotient criterium and L'Hospital)

[sudden garden]

thankyouu

[gray isle]

you didn't divide / manipulate your fractions properly

[hidden junco]

What does this mean ?

Whast the difference between R and R^n ?

[glass lichen]

x in n dimensionsl space

[hidden junco]

ah so x is a vector ?

[glass lichen]

R is 1D, R^n is nD

Yes

[hidden junco]

ahh ty

[glass lichen]

It's an n-tuple coordinate vector

[vital timber]

if im doing u_x

do i ignore the whole sin(y)?

or is it chain rule and product rule

[uncut tapir]

u_x means partial derivatives with respect to x

That's why Laplace's equation here is written as u_xx + u_yy = 0

[vital timber]

i mean when im solving for the first x

when i solve for u_x

I take the derivative of e^x

[uncut tapir]

Yes

[vital timber]

and get (e^x)*1

but after that is it product rule?

for the sin(y)?

[uncut tapir]

sin(y) is treated as a constant since it's only a function in y

You're only taking partial derivatives

[vital timber]

ok ok cool

so sin(xy)

would be cos(xy)y

?

[uncut tapir]

Yeah then you'd apply the product rule of partial derivatives

[vital timber]

ok ty!!

[sudden garden]

factor 5+5x-y-xy

[uncut tapir]

Product rule sorry since there's two functions of x multiplied by each other

[glass lichen]

Their comment wasn't directed at you...

Also we don't give answers

[uncut tapir]

@vital timber The chain rule applies if say x and y are functions of t and you want to calculate u_t

[sudden garden]

i want the answer to observe it and learn.

[vital timber]

ahh

ty ty

[uncut tapir]

so with e^x sin (xy), apply the product rule for u_x and treat y as if it was a constant

[uncut tapir]

Also this question is a bit confusing since the highest common factor of all 4 terms is 1

Usually when you factorise an expression it means taking out the highest common factor outside the bracket and dividing all terms inside the bracket by that term

[sudden garden]

yes, this is confusing.

[uncut tapir]

So is there a specific form they're looking for?

[plush moon]

What is the standard form of the equation of a straight line?

[sudden garden]

just tellingg to factorize

[uncut tapir]

I might know what's going on actually

I think you need something that looks like

(ax+b)(cy+d)

So it's almost like a quadratic

[sweet gulch]

Is this the part in question?

[sudden garden]

yes,that thing

[uncut tapir]

If you expand the brackets you'd get an xy term, an x term, a y term and a constant term which is what the expression is

Have you tried it?

First hint would be, you need either +x and -y or a -x and a +y to make -xy

[gray isle]

@sweet gulch yes. that part is incorrect.

[sweet gulch]

Oh. I see why. Thank you :D

[plush moon]

can anyone help me :) ?

[robust grail]

It's in #help-1

[green wadi]

Can somebody please help?

[sweet gulch]

continous means that there is no "jump".
lim f(x) with x->0 has to be equal both when x starts at +infinity and at -infinity

the channel is busy rn

@green wadi Does this solve your question?

[feral lodge]

show that if a and b are two even integers then the number a² + b² is also even ?

[snow hull]

I'm on question 8 tab if anyone is free

[sweet gulch]

Oh nvm. He is offline.

[snow hull]

I have my question in number 8

[alpine sable]

why is it if you multiply 3(-2) it’s minus 6 but if you multiply 3(-2)^ it’s plus twelve and not minus 12 does anyone know?

[sweet gulch]

Do you mean 3(-2)^2?

[alpine sable]

yes sorry

[sweet gulch]

In that case you first solve the "exponent" (english is not my first language) (-2)^2 which is 4
Then you do 3*4 which is 12

It's a rule just like * comes before +

[alpine sable]

but why is it not minus 4

[sweet gulch]

(-2)^2 = (-2)*(-2) which is 4 since (-x)*(-y)=x*y (- * - cancels each other out)

[silver current]

quick question, does identity matrix only have ones from the left diagnol

[gray isle]

product of two negatives is positive

[alpine sable]

i get u now thanks it makes sense!

[light sleet]

can someone explain to me and guide me on this math arithmatic? I dont quite understand

[smoky ledge]

2x5x1.5

i think

[sweet gulch]

It states A~B so if the 4ft at the bottom changes to 2ft, all other sides half too.
Then you can apply the volume formula for this figure with all sides being half of figure a

[light sleet]

so literally figure be is just half of figure A in a way?

[sweet gulch]

The figure itself is not half. The volume will be lass than half, since multiple sides half.
iirc the formula for the left one would be 4*10*3 so the one for the right would be 2*(10/2)*(3/2) which is 2*5*1.5 like LeiFire said.

[light sleet]

so.. just multiplying the a figure, then- can you explain it in a way I can do that? like even get to that? cuz I still dont understand when it comes to multiplying and dividing stuffl ike this

[sweet gulch]

You are not allowed to directly multiply the volumes. You have to adapt the formula

[light sleet]

alright, then can you teach me how I can simplistically adept the formula?

[sweet gulch]

Put in the new values

Since the side with 4ft halfes, you can insert all other sides with half the original value

Then you just put that information into the volumetric formula of the figure

The channel is busy right now

Wait your turn

<@&268886789983436800>

[tall wing]

@trim vector read #❓how-to-get-help and follow the rules there. first warning

[alpine sable]

no, its like 6.08 or something like that

now shhhh

[light sleet]

OHH OK I UNDERSTAND NOW

@sweet gulch ty for ur help

you're a stress saver

[sweet gulch]

The most important information was the A~B which is pretty hidden if you ask me

That dictated the sides to half

Glad I could help :D

[light sleet]

❤️

[alpine sable]

is it free now?

I have a panic attack just looking at this shit

[amber urchin]

I guess contact your local doctor

[alpine sable]

for maths help?

or literal emotional support?

[amber urchin]

That one

[blazing rose]

the correct answer to this is 14/3 but i got 10/3

[alpine sable]

just +4 on the top and you got it

well done

congrats

[blazing rose]

...

[amber urchin]

Question about the form: Do you have to use this limit comparison that you wrote down or is it not obligatory?

[blazing rose]

wym limit comparison

im using sigma notation just to make sure i know how to

ik i can just use a definite integral

[amber urchin]

In other words, I know a better way, but I don't know what you learn

[amber urchin]

Alright, fair

[blazing rose]

yeah a regular integral of x^2 + 1 from 0 to 2

[sweet gulch]

Start by replacing the f(x) in the bottom by the value of f(x) from the top.
Now you should be able to refactor and get the value on the right.
x != +-2 is just there since we lose that value because we are not allowed to divide by zero (which we would do otherwise)

[blazing rose]

bru

[alpine sable]

ive never done triple layered fractions before, where do i even start?

because its under the 1, wouldnt that just cancel out or what?

[sweet gulch]

1/((x+2)/(x-2)) <=> 1*(x-2)/(x+2)
If the dividor is divided by a number you can instead put it at the top (by multiplying the top with it)

https://i.imgur.com/nAsYXOn.png example

[alpine sable]

i literally have no idea

[sweet gulch]

https://i.imgur.com/520pE6g.png

[alpine sable]

so i multiply the (x+2)/(x-2) by the 8x?

[sweet gulch]

If a dividor get's divided by 2 itself,
you can instead multiply the denometor by 2
and have the same effect

I'd completly ignore the equation at the start.
Just focus on the left side and try to make it the same as the right side.

[alpine sable]

so if i multiply by the reciprocal, I can just flip it right

[sweet gulch]

You could say it like that.
By multiplying both the denominator and the dividor with the reciprocal, you get this result.

[red kestrel]

Can someone explain why 0! Is 1? First year Mathematics lecture

[sweet gulch]

I'd just accept it. It's like x^0 = 1
0! means that you have no numbers at all to multiply. So the neutral factor 1 is the only one that remains

You could see it that way:
0! <=> 1*0! <=> 1*() <=> 1

[glass lichen]

3!=6
2!=6/3=2
1!=2/2=1
0!=1/1=1

[alpine sable]

so like this?

[red kestrel]

Thanks makes sense

[sweet gulch]

The second to last line seems kind of odd. You forgot to put "brackets" around the second part of the denomitor.
x^2+4x+4-((x-2)*(x-2)) = x^2+4x+4-(x^2-2*(2x)+4) = x^2+4x+4-x^2+4x-4 = 8x
(I left out the dividor since it doesn't change)

[alpine sable]

when do u flip the sign in an inequality

[sweet gulch]

With the dividor (like you sucessfully equated) you get 8x/(x^2-4)

[dusk solstice]

I need help

[glass lichen]

Dividing/multiplying by negatives and reciprocal are the common ones

[alpine sable]

i got the right answer so cant fault that

[swift nexus]

I got two loans - one is for $x for 25 years and has an annual interest of i%, and another is for $y for 20 years and has an annual interest of j%
How do I calculate the weighted average between them?

[alpine sable]

i as in imaginary?

[raw shard]

definitely not

can’t have an imaginary percent of something

[dense flower]

if i wanna pull 5 specific items out of 10 in a specific order
do i need to do anything after calculating 1/10 * 1/9 * 1/8 * 1/7 * 1/6 ?
does this probability already account for order ?
or i need to do (1/10 * 1/9 * 1/8 * 1/7 * 1/6)^5 ?

[swift nexus]

@alpine sable no, sorry. just a variable

[alpine sable]

I got 204 m for the last one not sure if it’s right tbh

<@&286206848099549185>

[alpine sable]

Wait at least 15 minutes before pinging

k

can u help doe?

[whole willow]

did you draw the graph?

[quick jolt]

how is this done? its on a practice test but our teacher hasnt gone over this kind of work

[alpine sable]

yh u drew the graph

@whole willow

[whole willow]

no

[alpine sable]

i sorry

[whole willow]

paste your graph

[alpine sable]

k sir

[glass lichen]

polynomial division

[whole willow]

you're multiplying a linear by a quadratic to give a cubic

you can do polynomial division or inspection

[alpine sable]

Ignore T

[quick jolt]

like i said, my teacher hasnt gone over this so i have no idea what any of that means

not even sure why its on the practice test

[whole willow]

do you know what a quadratic is?

[quick jolt]

no

[whole willow]

ax^2 + bx + c = 0

[quick jolt]

?

[whole willow]

that's the form for a quadratic equation

[quick jolt]

yeah idk what that is

[glass lichen]

so review your notes...

[quick jolt]

we havent gone over this whatsoever

never heard of that equation

[glass lichen]

I highly doubt that, given polynomial division comes decently after quadratics.

[quick jolt]

ive done polynomial long division, but never done quadratic equations

[whole willow]

@alpine sable Did you find the value for T at the intersection?

[alpine sable]

Nah ignore t

It’s waffle

[whole willow]

you need to find the value of t when both lines intersect

and find the area under the graph

by using 1/2b*h

[alpine sable]

K ty

[quick jolt]

do i just long divide (2x+1)/6x^3-5x^2-2x+1) ?

[whole willow]

yes

[quick jolt]

ok that makes more sense thanks

one more question, do i make my final answer the result or the remainder

[whole willow]

you shouldn't get a remainder?

[quick jolt]

i got a remainder of 3x+1

[whole willow]

you must've done something wrong then

you should get a quadratic

something with x^2

[quick jolt]

? i still dont know what you mean

[whole willow]

a quadratic equation is an equation of the form ax^2 + bx +c

like 3x^2 - 4x + 1

it has the highest power of x being 2

[quick jolt]

i got 3x^2 -x -2

is that a quadratic

[whole willow]

yes

but that doesn't seem to be the answer by the looks of it

[quick jolt]

yeah, i think i mightve made a positive a negative somewhere, ill go over it

[whole willow]

you can try doing the division and post your working

so I can see where you went wrong

[alpine sable]

Could I just u suvat equation

[whole willow]

yes

[quick jolt]

found the problem

i made (-5x^2)-(+3x^2) = -2x^2

it should be -8x^2

[whole willow]

no

[austere star]

Can anyone help me please?

[whole willow]

it should be -8x^2

[quick jolt]

yeah, sorry forgot the sign

[austere star]

?

Occupied ig

[quick jolt]

hold on one sec cart

[austere star]

okay

I need help with prime factor tree method thingy

[quick jolt]

i got a remainder of 0 and a quadratic of 3x^2 -4x +1 @whole willow thanks

[whole willow]

that's option b)

[quick jolt]

yes

[austere star]

Can you help me cruizer

[whole willow]

paste the question

[austere star]

I’ll take a pic

[whole willow]

btw you can immediately tell that option b is the answer if you look carefully

because if you are multiplying (2x+1)(quadratic) both the constant terms multiply to get +1

[quick jolt]

yeah, thats how i check my answer, but my teacher never called it a quadratic

just a result

[alpine sable]

whatcu get @whole willow

[whole willow]

so like (2x+1)(4x^2+3x+2),
I know the constant term is 2

because 1 x 2

i didn't do it

[austere star]

Will you help

[alpine sable]

nw i get it ty @whole willow

[whole willow]

what is a prime factor

[austere star]

what

[whole willow]

it's asking you to find the prime factor

[austere star]

yeah

you don’t know what a prime factor is?

[whole willow]

so tell me what you understand by that

[austere star]

ohh

okay

from what I understand

I have to make a tree

Like this for example

[whole willow]

yes

so what do you need help with

[austere star]

the odd numbers

[quick jolt]

2 and 3 are prime arent they

[austere star]

like 15

and 27

yeah

they are

[quick jolt]

then the tree is done?

[whole willow]

what two numbers multiply to get 15

[austere star]

yeah

[austere star]

3

and

5

[whole willow]

yes

and those are prime factors

lol

that's it

[austere star]

5 is a prime?

[quick jolt]

yes

[whole willow]

yes

what two whole numbers multiply to get 5?

[austere star]

Oh

2

3

Idk

how do I do it

2.5???

[whole willow]

there aren't any whole numbers that you can multiply to get 5 other than 5 and 1

[austere star]

Ah okay

[whole willow]

2.5 x 2 = 5

yes

but 2.5 isn't a whole number

[austere star]

If I come across anything difficult I’ll ask you

right

[whole willow]

ok

[austere star]

wait

so the tree for 15

Is just 3 and 5

[whole willow]

yes

[quick jolt]

yes

[austere star]

Or do I simplify the 5

[quick jolt]

5 is prime

[whole willow]

you cannot simplify the 5

because 5 is prime

[austere star]

ahh okay

[whole willow]

since no two numbers other than 5 and 1 multiply to make 5

if you got 6 for example

you can further simplify it

by taking 2 and 3

[austere star]

what about 27

[whole willow]

you tell me

[austere star]

2 x

uhh

[whole willow]

no

it cannot be 2

[austere star]

wait

it’s

[whole willow]

because 27 is an odd number

[austere star]

3 x 9

[whole willow]

yes

and you can simplify 9

[austere star]

Simplify the 9

3 x 3

[whole willow]

yes

that's it

[quartz osprey]

hello

[quick jolt]

     *
   /    \
  *      *

heres a format for future reference

[austere star]

oki

18 for example is

9

X 2?

[whole willow]

yes

18 = 2 x 3 x 3

[austere star]

okayy

2 x 3 to the power of 2

Right

[whole willow]

yes

[austere star]

okay

[sonic wyvern]

im trying to integrate this function

im integrating by parts

i said u = x^2 + 4x

so du = 2x + 4

then with what we have left, dv = cos(x) dx

so v = sin(x)

using u * v - integral(v * du)

[austere star]

What about 34

ah

17 is a prime)

?

[sonic wyvern]

i get (x^2 + 4x)(sin(x)) - integral[(sin(x))(2x + 4)] dx

[austere star]

Oh

[alpine sable]

@whole willow i got 320 m

[austere star]

So it’s just 2 and 17

nothing else

That’s it?

[alpine sable]

that sound right?

[sonic wyvern]

i used integration by parts again

and i ended up with (x^2 + 4x)(sin(x)) + (2x + 4)(cos(x)) + 2sin(x)

but this is what wolframalpha got

[kindred helm]

taken?

[edgy breach]

Im using Khan academy to learn how to prove that d/dx[lnx]=1/x. You can see in the pic it's multiplying 1/x by the definition of e. Why is this the definition of e? surely the limit where n tends to zero of (1+n)^1/n would be 1^infinity = 1? so then it would be ln 1? therefore you'd get 1/x * 0

obviously it is correct. But can someone please explain to me why this is the definition of e? thanks

[late cipher]

hi guys, i can't figure out the steps to sec - 2pi. I think the answer is 1 but i don't know how to get there or if that's even correct

[woven dock]

Seems that you just mixed up the positive and negative sign.

[late cipher]

oh sory i didn't realize this was a question in progress

[woven dock]

I hope this helps!
https://www.emathzone.com/tutorials/calculus/exponential-limit-of-11nne.html

[woven dock]

Hello there

[edgy breach]

cos(2pi radians) = cos(360deg) because pi rad = 180deg

cos(360) = ?

secx = 1/cosx

[edgy breach]

Thanks

[fossil tangle]

need sum help checking my answers

[late cipher]

i think i got it crypto, thank you!

[edgy breach]

nw

[late cipher]

i also need help with cot - 11pi/6

sorry, i'm having a hard time with this assignment

[edgy breach]

do you know what cot is?

in terms of 1/a function

@late cipher

[late cipher]

i don't think so, as in do i know cot is tan?

[kindred hull]

😐

[flint mango]

can someone help please

[quartz osprey]

how am i wrong?

i cant think of any other answer for this one since its literally just (t-6)^2

[raw shard]

@quartz osprey could it just be programmed wrong or something

like it says there’s supposed to be 2 but there’s only 1

because i can’t think of any either

[tender vault]

anyone here good at physics?

[glass lichen]

https://dontasktoask.com/

[raw shard]

bruh

[worldly ember]

anyone knows how to solve this for x1, x2, x3 whilst using the inverse method? (sorry, don't know a lot of the english terms)

I got the determinant, but idk how to do the other stuff

[alpine sable]

I mean, I can solve for x1 x2 and x3 but I don't need an inverse method for that. . .

Do you NEED to use the inverse method?

[worldly ember]

yes

[silver current]

is this correct?

[gentle ingot]

Should be yeah

[opal geode]

Question: P(35, 19)
It’s dealing with factorials. I need to put it into scientific notation, rounded to four decimal places.

The equation should be 35! / (35-19)! correct?

[quartz osprey]

yea i got no clue

[opal geode]

[Solved] I was able to find a function on my calculator to solve it. Texas Instruments for the win 💪

[mossy viper]

Need help when anyone gets a chance

[quartz osprey]

lmao this makes no senes to me i got a + number for irhtat one

i plugged in -1 and ended up with a + number

along with this one it just doesnt make sense to me now

lol

i dont get how these dont work

[raw shard]

@quartz osprey maybe you used the wrong brackets/parentheses?

idk interval notation off the top of my head

[quartz osprey]

the brqacksts or U

[gentle ingot]

Maybe use union instead of a comma yeah

GL

Oh you forgot to include what happens from {x|[5,infinity)} which could also be it

[quartz osprey]

alright thanks

oh wait

for increaseing

do i even need U or brackets at all?

[gentle ingot]

Probably, that's the standard. The problem could want it formatted differently though

[quartz osprey]

hmmm i cant think of any other way though

[gentle ingot]

There are other ways to format it: instead of (-5,0) you could do -5<x<0

[quartz osprey]

ohhh i see

alright thanks

[gentle ingot]

Do you know how to find slope

[orchid apex]

Change in Y over Change in X

Y2-y1/x2-x1

[rapid spear]

How can I prove F_{n-1}+F_{n+1}=F_n+2F_{n-1}

Think induction might work

[glass lichen]

assuming you mean the fibonacci numbers

[small bear]

Uhm, by the definition of the fibonacci numbers, F{n+1} = F{n} + f{n-1}

[left helm]

can someone help me pls?

my friend asked me this question and i think her answer is wrong

[glass lichen]

But yeah, recursive definition is sufficient

[left helm]

ii) Twice one number exceeds five times another number by 4.

Let x represent the first number.

Let y represent the second number.

her answer: 2x > 5y + 4

[glass lichen]

no need for induction

[left helm]

is it not 2x=5y+4?

[stable mango]

come to #help-2

[left helm]

thanks

[rapid spear]

Yeah that was super simple sorry for dumb questions lol. If I wanted to show F_n+2F_{n-1}=F_{n+2}-F_{n-2} would I need induction?

[glass lichen]

no

Recursive definition is sufficient

[rapid spear]

Def still?

Ok I will try

[glass lichen]

oh you asked something different

yeah you also need to work on writing them

$F_{n+2}F_{n-1}=F_{n+2}-F_{n-2}$?

[rapid spear]

Yeah, RHS is now LHS and new rhs

[ocean seal]

Mosh

[rapid spear]

$F_n+2F_{n-1}=F_{n-2}-F_{n+2}$

Shoot

[glass lichen]

can you screenshot it...?

[rapid spear]

Here it is sorry lol. Hard to be type on mobile

[ocean seal]

mondy1000

[glass lichen]

Gut says you should be able to just use definition

though perhaps easier to show $F_n+2F_{n-1}+F_{n+2}-F_{n-2}=0$

[ocean seal]

Mosh

[rapid spear]

Not sure how to show =0 but definition seems reasonable?

[small bear]

I don't think that is true, especially considering 0, 1, 1, 2 as the base case

[glass lichen]

yeah just walked through it quickly it isnt true

[rapid spear]

It’s for n >/ 2

[rapid spear]

Just saw counterexample or proof didn’t work out?

[small bear]

Oh nevermind, there is a span of 5 there, it is true for 0, 1, 1, 2, 3

Okay, then just using the definition of the sequence should be simple

[dusty seal]

does someone understand sequence here ?

[wary kiln]

help me

[stable mango]

come to #help-5

[rapid spear]

Having trouble getting to the F{n+2} term to add

[small bear]

Are you absolutely certain it's written like this?

[rapid spear]

I’m sorry for wasting ur time I switched the n-2 and n+2 terms. Rhs is $F_{n+2}-F_{n-2}$

[ocean seal]

mondy1000

[small bear]

That makes more sense, also how would you rewrite F{n+2}?

[wild oxide]

Can I get some help with these 2 questions?

[small bear]

Channel occupied sorry

[wild oxide]

Alright

Np

[rapid spear]

F_{n+1}+F_n

[small bear]

Alright, since F{n+2} is negative, subtract that from the equation

and continue reducing the highest order number until everything cancels out

[rapid spear]

Just got it thanks for the help

Sorry for the confusion

[fossil bluff]

can someone please explain this

[bold mantle]

Help

Number 9 and 10 pls

Idk what to do

[compact lynx]

do you understand that notation

as in, do you understand what f(-1), f(1) and f(3) means

[bold mantle]

F of x?

Not really

We just learned that today

[compact lynx]

okay so let's start there

f(x) just means that it's a function f on x yes

that outputs a value y

you do something to x that outputs a value y

[bold mantle]

Yes

[compact lynx]

so if you're trying to find the value of

f(-1), the function f on -1

what are you trying to find

[bold mantle]

Idk a y value?

[lone sandal]

youre substituting the number inside the parentheses into the equation, basically, and returning the value

[compact lynx]

you're trying to find the corresponding value that the function outputs

when you input the number -1 as x

because you're applying the function f to -1

[lone sandal]

so if you were to replace the x inside the equation with the number, say, -1, what would you get in return

[compact lynx]

same thing with 1 and 3

[rocky arch]

-1 is the input or the x value. You are putting that value into the function to see what the output or y value is

[compact lynx]

wrong person to reply to but ya

[lone sandal]

your eventual goal is to get a single number on the right side of the equation. that will be your answer (y value)

[bold mantle]

Ok

I'll try to solve this on my own then check the answer with you guys

[lone sandal]

👍

[bold mantle]

So ill tali back in a min or 2

[lone sandal]

mind if i borrow the channel for a moment? ive got a problem of my own lol

if not im fine with waiting

[bold mantle]

So turns out I'm pretty dumb and I forgot how to solve a simple equation

I think I am right on the part I got to

[lone sandal]

what answers did you get?

[bold mantle]

-1f = 3x -4

Is that the right way to set it up?

[lone sandal]

the correct writing would be f(-1) = 3x-4 but yes youre starting off correct

[bold mantle]

But I did f times -1 which gets you-1f

Right

?

[lone sandal]

you dont need to multiply out the left side, its a placeholder

[bold mantle]

ok

[lone sandal]

the only thing youre concerned about is the right side

[bold mantle]

Ok

[devout bronze]

U dont treat functions like regular variables

[lone sandal]

so, if you substitute -1 in for the x on the left side, what should you do for the x on the right side?

[bold mantle]

Add -1

[lone sandal]

substitution means applying the same change for the variable on both sides of the equation

basically, changing every instance of x to the same value youre substituting

[bold mantle]

would you mind starting with f(-1) = 3x -4 and solve it step by step so I can understand what you do, I think I learn best like that

[lone sandal]

sure!

basically if you substitute something in for x, you substitute it everywhere

f(-1) = 3(-1) - 4

youre plugging it in for every instance of x

[bold mantle]

Ok

But

[lone sandal]

lucky for you, the f is just a placeholder

you basically change it to y at the end of the problem

[bold mantle]

Oh ok

[lone sandal]

so all youre concerned about for the time being is 3(-1)-4

[bold mantle]

I remember that from class

[lone sandal]

thats good

so what would the final value be?

[bold mantle]

Idk I think -7

Because 3 times -1 = -3 and then you do minus 4

[lone sandal]

yup!

so what youd answer with is f(-1) = -7

[bold mantle]

Ok

[lone sandal]

or, if your professor wants you to write in terms of y, it would be y = -7

[bold mantle]

professor?

well thanks ur a life saver

[lone sandal]

teacher* lol

no problem!

😔 dude had no hesitation

[stuck monolith]

could someone help me with slope int.

5(x + 3y + y) = 10x

im trying to get it into the formula
y = mx+b

[lone sandal]

first, do you know how to get rid of the 5 on the left side?

thatll make things a bit easier

[stuck monolith]

i got x as 5/20x but my graphing paper doesn’t have enough room for it

what do i do then?

[lone sandal]

actually, first lets try getting all of the x terms on the right side

wait actually you got the right answer lol

[stuck monolith]

ye

[lone sandal]

but can you simplify y = 5/20x?

[stuck monolith]

im not sure if we should

[lone sandal]

you should

[stuck monolith]

all other problems I haven’t

[lone sandal]

it makes life much easier

because the term before x is the slope of the line

[gentle ingot]

Def better to simplify (unless ur instructor says not to)

[lone sandal]

idk why theyd say not to

[stuck monolith]

i have no idea if he wants me to or not

[lone sandal]

well for the time being, id suggest simplifying

[stuck monolith]

I’ll just do it anyway

alr well I can take it from here I just needed some clarification

[lone sandal]

no problem! happy to help

[random eagle]

can someone help

[compact lynx]

do you understand what it means for a set to be closed under an operation

also just for a sanity check, the rewind marker next to the ones you answered means..?

[random eagle]

yeah when you make an operation from two numbers from the same set and the result is from the same set

[random eagle]

oh they were just guesses i put them back

this is the original question

[compact lynx]

i can help in like 15-20 minutes

if no one else helps

feel free to dm me

[random eagle]

ok

[velvet niche]

This is probably a basic question, but I'm using the HTML5 canvas to create a Fibonacci spiral (including squares) based on an index entered by the user. The squares and arcs are drawn based on a position multiplied by a scale. That scale can be anything above 0 and determines how big the shape is while keeping everything correct. I want to calculate the scale based on the index (index being the nth number in the sequence) so that the largest square for each index is roughly the same size

I probably explained that terribly

[somber cape]

so u want to get the nth fibonacci number without knowing all of the numbers before it?

is there a reason why u cant start at index 0 and work ur way up to n?

[velvet niche]

My actual function for calculating the nth Fibonacci number does that, my issue is I need to have some variable be inversely proportional to the nth Fibonacci number. So for reach Fibonacci number that gets drawn, the square/arc is roughly the same size

In other words, if n is big, I want scale to be small. If n is small, I want scale to be big

[wintry vortex]

Anyone know where i messed up?

i made the equation 4800=k(12)^3

which i got k=2.7

then plugged k into the equation p=2.7(18)^3

and got that answer

any help would be apricated, not really sure why its wrong

[alpine sable]

What’s a radical?

[glass lichen]

$\sqrt{7} , \sqrt[3]{\pi}$ ,etc

[ocean seal]

Mosh

[glass lichen]

anything with a root symbol pretty much

[wintry vortex]

Just bumping my question for anyone who can help.

so it doesnt get lost

Anyone know how to do this, i cant seem to get a different answer

[glass lichen]

$P\propto s^3\iff P=ks^3$

[ocean seal]

Mosh

[wintry vortex]

With you so far, i used that formula to make the equation 4800=k(12)^3

[astral dagger]

do you need to convert the units?

just to make sure, I'm not used to mi, hp

[wintry vortex]

i dont think so, their example has the answer in hp

[glass lichen]

Unit conversion is absorbed into the prop constant

[astral dagger]

[glass lichen]

since converting the units will just be another scaling factor

[astral dagger]

makes sense

btw the proportionally constant takes care of it

[glass lichen]

I just said that but ok

[astral dagger]

as you'd end up converting everything back

[glass lichen]

so yeah, $k=Ps^{-3}$

[ocean seal]

Mosh

[astral dagger]

[wintry vortex]

i sent a picture of my work

its midway through sending lol, my signal is soso lol

ok, maybe its not going to send

Im still on board with what your doing and thats the route i went, it just came up wrong and idk why

[buoyant kayak]

PEMDAS

[pulsar locust]

https://cdn.discordapp.com/attachments/540211747613704221/892567438145761280/212329986680422400.png

https://cdn.discordapp.com/attachments/540211747613704221/892569281378799616/Snapchat-1926426597.jpg

can anyone help me figure the next steps?

$$M=\left[\begin{array}{ccc|ccc}
1 & 4 & -2 & 1 & 0 & 0\
4 & 15 & 6 & 0& 1 &0\
0 & 0 & 2 & 0& 0& 1 \
\end{array}\right]~.$$

[ocean seal]

burga

[glass lichen]

you just row reduce...

[pulsar locust]

$$M=\left[\begin{array}{ccc|ccc}
1 & 4 & -2 & 1 & 0 & 0\
4 & 15 & 6 & 0& 1 &0\
0 & 0 & 2 & 0& 0& 1 \
\end{array}\right]~.\left[\begin{array}{ccc|ccc}
1 & 4 & -2 & 1 & 0 & 0\
4 & 15 & 6 & 0& 1 &0\
0 & 0 & 2 & 0& 0& 1 \
\end{array}\right]$$

[ocean seal]

burga
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[pulsar locust]

made some progress

the one on the right still needs work

im just trying to follow the example

[visual ermine]

Someone help?w

[pulsar locust]

man i suck at this

maybe ill tryu a different problem

[pulsar locust]

https://cdn.discordapp.com/attachments/540211747613704221/892569281378799616/Snapchat-1926426597.jpg how do they get from the first matrix shown to the second one

[dusty willow]

For proving that A U L subset A bar could I just explain that A bar is the smallest closed set containing all points of A?
So trivially A is a subset of A bar
And by definition a closed set should contain all of its limit points, so L should also be a subset
Or do I need to prove that the limit points of A are the same as the limit points of A bar? And could I do this by Bolzano Weierstrauss (or however the fuck you spell it)?
Proving the opposite direction should be harder
Honestly I'm not entirely sure how to start with that
I have some ideas but I don't think any of them are good

<@&286206848099549185>

Also I have no idea what the fuck I'm doing with this

I've deduced that this probably isn't gonna work in R

I'm trying to think of some weird ass metric space where this could work

Like N or Q or something

[alpine sable]

what the fuck are you doing

stop

they are not active anyway

its pointless

[dusty willow]

Okay

[alpine sable]

furthermore your question is too advanced

do not expect an immediate response

[dusty willow]

It’s not that advanced

There are people in here doing math far more complicated than this

This is like intro college level

[alpine sable]

lol no its not

its upper year university lvl

like 3rd or 4th year

[dusty willow]

I’m a sophomore

[alpine sable]

im a 2nd year

i cant even comprehend your question

[sick torrent]

How do u do a question like this?

[dusty willow]

It should just be a continuous function

I don’t think it’s discontinuous anywhere

[sick torrent]

How do u know

[dusty willow]

Take the function f(x) = 1/x. How do you know that this function is discontinuous?

[sick torrent]

No clue. Where did u get f(x)=1/x

[dusty willow]

I made it up

[sick torrent]

Oh

[dusty willow]

It doesn’t matter where I got it from

That function is discontinuous

Can you tell me why?

And where it would be discontinuous

[sick torrent]

I have no clue that’s why I’m asking lol

How do you know when it’s discontinuous

[dusty willow]

Are there any values of x for which the function is undefined?

[sick torrent]

Like the vertical Asymptote

[dusty willow]

Yeah

[sick torrent]

Hold on please

[gentle ingot]

Good luck learning so much math so quickly venom

Also wait r u a sophomore in HS or college

[sick torrent]

Um ion think it’s factorable so there isn’t a vertical asymptote

[alpine sable]

I am a sophomore in Kindergarten

[compact lynx]

that’s… not what indicates that there isn’t a vertical asymptote

[dusty willow]

High school

[sick torrent]

Oh

[gentle ingot]

If it's factorable that doesn't mean there's a vertical asymptote

Oh nice!!

What math classes do you take in school @dusty willow

[sick torrent]

But

Is there any?

[gentle ingot]

I'm trying to move up out of my required courses quickly since I already know the content but it's kinda tedious

I'm a freshman btw

[compact lynx]

not the channel for this

DMs or somewhere else

[gentle ingot]

Mhm

[sick torrent]

I’m

Um*

[compact lynx]

@sick torrent I mean, first off, do you know what type of shape this function will take just by inspection

[sick torrent]

Uhhh

No

Is it by degree?

[compact lynx]

Yeah, by degree is the best way to predict the shape of the graph

this might help a little

https://www.dummies.com/education/math/calculus/how-to-determine-whether-a-function-is-discontinuous/

but TL;DR is that if there isn’t a term that results in a zero in the denominator of a rational function then it’ll be continuous for what you need to know for now

[sick torrent]

If the denominator is 0 then it is not continuous?

[compact lynx]

If there is a term in the denominator that for a value of X results in the denominator equaling zero

then yes, it will not be continuous at x

Either it will have a hole discontinuity or a unremovable discontinuity

[sick torrent]

There is no term in this denominator therefore it’s continuous?

?

[compact lynx]

as this level of math, that’s all you need to know, yes

[gentle ingot]

^

[sick torrent]

Ohh

[ruby sluice]

#help-1 if anyone free ps send help

[sick torrent]

But how do u “give the intervals”

[compact lynx]

well if it’s the function is always continuous

What’s the interval

[sick torrent]

Uhhhh

[compact lynx]

if it’s continuous from negative infinity to infinity

the interval is

[sick torrent]

Uhhh

Infinity?

[compact lynx]

close but not quite

[sick torrent]

Oh

[compact lynx]

intervals should be from one end to another, u just gave a single end

[sick torrent]

Then I have no clue

Example?

[compact lynx]

Say a function is continuous from a to b, but not a or b

You’d say the interval is (a,b) yeah

[sick torrent]

Oh yeah

[compact lynx]

So if a function is continuous from neg inf to inf the interval notation would be

[sick torrent]

(-infinity, infinity)

[gentle ingot]

Yooooo

Great job

[sick torrent]

That’s right?

[gentle ingot]

Ye

[sick torrent]

Yay

[compact lynx]

👍

[sick torrent]

Thank you

[vestal oriole]

I need da help with geometry

[raw shard]

@vestal oriole i can maybe help

[vestal oriole]

#help-2

[raw shard]

don’t go to a channel to ask for help in a different channel again please @vestal oriole

[vestal oriole]

mb mb

[sick torrent]

Is intervals only for x ?

[compact lynx]

No, intervals are actually all over math

[sick torrent]

Oh

[gentle ingot]

For intervals over x there's actually a name commonly used

Domain

[sick torrent]

Ohhhhhhh

[gentle ingot]

Domain can be used for any variable but usually when domain is spoken about people mean x

[sick torrent]

Makes sense

The answer would be (-2,2)?

[gentle ingot]

Wdym would that be the answer? What does the problem make u find

I think you have it but at the same time idk what you're asking

If you're trying to find the interval then yes it's (-2,2)

[sick torrent]

The interval

[sick torrent]

Oh thank you

[gentle ingot]

Great job

[sick torrent]

Thank you

It said I got it wrong

[gentle ingot]

Maybe you expressed it wrong?

There are multiple ways to express intervals

[raw shard]

is it possible it wanted the interval in the form using the symbols?

[gentle ingot]

-2<t<2 is another way to say the same thing as (-2,2)

[sick torrent]

Form of symbols?

[raw shard]

they mean the same thing basically

did i confuse you?

[sick torrent]

Oh

Still got it wrong

[gentle ingot]

Could you send a full screenshot?

[raw shard]

the person who made the question is wrong then

[gentle ingot]

It might be asking for the interval where the function isn't defined

[raw shard]

also yes that would help

[gentle ingot]

Hmm idk what to say, maybe just click the help button

The question is probably wrong since me and quantum both think so

[sick torrent]

That’s what it says

[raw shard]

yeah the person who made it input the wrong answer

[sick torrent]

Oh

[raw shard]

you’re right though

[gentle ingot]

^

[sick torrent]

What the heck

[raw shard]

lol

[sick torrent]

I got it right 💀

[raw shard]

did it just say you got it right?

or what

[gentle ingot]

Did u make a typo or something lol

[sick torrent]

I guess maybe I did lol

My bad

[gentle ingot]

Lol it happens to the best

[mossy viper]

tried this problem, need help on where I went wrong

[lost steeple]

I think you find the average value

and then see which ones are very off

add em all up

divide it

[mossy viper]

I had found q1 and q3 then the IQR and followed the steps

[lost steeple]

idk what those are

[mossy viper]

all the quartiles

just having a hard time finding the outlier

solved it

i had miscounted

[lost steeple]

I see

https://gyazo.com/87054ad94f680e802de1387cab71f22a
Can someone tell me how to simplify this?

[mossy viper]

mathway says 1

[silver viper]

factor out a 2^x from the numerator

[lost steeple]

uh

how do I gget the expoennts to multiply again

2^x * 2^2 = 2^(x+2) right

[silver viper]

yea

[alpine sable]

where to find chemistry group

[haughty falcon]

One message removed from a suspended account.

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[toxic zephyr]

post the question then lmao

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

[toxic zephyr]

you need to rearrange the question

you should recognize that 10x^2 + 60x is 10(x^2 + 6x)

so your aim would be to isolate out the x^2 +6x and then multiply it by 10

yeah pre much

x^2 +6x +5 =0
x^2 +6x = -5
10(x^2 +6x)=10(-5)
10x^2 +60x = -50

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

[lost steeple]

How can I factor out the 2^x

[haughty falcon]

One message removed from a suspended account.

[lost steeple]

What do it factor into

[toxic zephyr]

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

[dusty willow]

Can someone help me in #advanced-analysis?

[silver viper]

$2^{2x} - 2^x = (2^x)(2^x) - 2^x$

[dusty willow]

I'm being ignored

[ocean seal]

kiid

[dusty willow]

I don't like being ignored

[lost steeple]

Oh

[haughty falcon]

One message removed from a suspended account.

[lost steeple]

k

[dusty willow]

I sit around waiting for help and I end up wasting time

[haughty falcon]

One message removed from a suspended account.

One message removed from a suspended account.

[dusty willow]

Just go to #advanced-analysis

[haughty falcon]

One message removed from a suspended account.

[dusty willow]

My question is there

[haughty falcon]

One message removed from a suspended account.

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[stone hatch]

?

[haughty falcon]

One message removed from a suspended account.

[stone hatch]

so 28?

[toxic zephyr]

yeah

[stone hatch]

thanks

[unique peak]

Is Negative squared a negative or positive

[haughty falcon]

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[toxic zephyr]

its a negative unless the negative is in a bracket with the squared applying to the whole bracket

since it follows PEMDAS

[raw shard]

-4^2 = -16, (-4)^2 = 16

exponents before multiplication

[haughty falcon]

One message removed from a suspended account.

[raw shard]

if you’re going to put that into a calculator, why do you need help?

[haughty falcon]

One message removed from a suspended account.

[toxic zephyr]

hes trolling man

[silver viper]

and they allow discord, but not calculators? sure

[haughty falcon]

One message removed from a suspended account.

[raw shard]

every school can see what you’re on lol

[silver viper]

then use ur phone for calculator lmao

[raw shard]

you use their internet

they’re not going to check everyone’s history

[stone hatch]

?

what is a parallelogram?

[thorn vortex]

google

[haughty falcon]

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[stone hatch]

but wgat

oh

[thorn vortex]

that definition is false

[haughty falcon]

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One message removed from a suspended account.

[thorn vortex]

a rectangle can be called a parallelogram too

[stone hatch]

62 i think

[haughty falcon]

One message removed from a suspended account.

[thorn vortex]

''too scientific''

[haughty falcon]

One message removed from a suspended account.

[stone hatch]

i got the answer calm down loel

[haughty falcon]

One message removed from a suspended account.

[stone hatch]

7th

i just didnt know what a pall thingy is

[haughty falcon]

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[haughty falcon]

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[unique tiger]

wdasw477896541321..,.,

[robust flame]

Can someone help me w this?

[winged lodge]

Can someone help

Solve the equation pls

[robust flame]

X= 17/22

[sacred aurora]

cross multiply

[winged lodge]

??

[winged lodge]

You sure?

[sacred aurora]

YES

[winged lodge]

I need the written work techer said

[robust flame]

Yep

[thorn vortex]

multiply every sides by 5

[winged lodge]

ok

thank

[alpine sable]

does anyone have a good explanation on this?

[plucky oar]

someone know this?

[opaque oxide]

i got 18/20 lez goo

[rich ivy]

Hey are science questions allowed?

[tiny minnow]

Who can make 4Dimensions

[sick crane]

yo anyone know what’s the opposite of:

5x – 3y + 12?

[toxic zephyr]

basically its referring to rise over run

f(x) and f(a) are two points where x is greater than a

by denoting f(x), its referring to the y co-ordinate at the point x

[alpine sable]

and h is the difference right

[toxic zephyr]

yeah

so h is the horizontal difference between point a and x

[alpine sable]

so as the difference approaches 0 you get the instantaneous rate of change at that point right

[toxic zephyr]

yes sir

[winged lodge]

help

[alpine sable]

thanks

[tropic swift]

help

[thin mica]

@tropic swift circle the first one and the third one. If you want explanation. Search up on youtube organic chemistry tutor - how to combine like terms

[vestal hawk]

hey guys for function generators what does DC offset do to the wave?

[loud sentinel]

The answer for this is 1:2

could someone explain how tho

[tight locust]

the model is proportional to the original; thereby all its measurements must differ from the original by some common factor k; the height of the model is thus kt and the radius must be kj

now we are given that the formula for the model is 1/8pij^2t

now we set these two formulas equal to each other

$\pi (kj)^2 kt = (1/8) \pi j^2 t$

[ocean seal]

EndTimes

[loud sentinel]

kj^2 or (kj)^2

[tight locust]

(kj)^2

because $j_{model} = k j_{original}$

[ocean seal]

EndTimes

[tight locust]

so $(j_{model})^2 = (kj_{original})^2$

[ocean seal]

EndTimes

[loud sentinel]

oh ok

[tight locust]

then just solve for k

[frigid hatch]

how can I prove that a quadrilateral is a parallelogram if I know that the sides are parallel two by two

[pine tulip]

wtf is this

do i have to open this on excel ?

or do i just subtract 0.9234 from 100

[loud sentinel]

If u wanted to prove in terms of angle then

[alpine sable]

is anyone good at statistics that could help me with graphing stuff

[vocal edge]

umm go ahead

[vocal edge]

do you have the data?

[alpine sable]

nah

we are suppose to match the

[vocal edge]

?

[alpine sable]

things

ya know?

the question is

Match the following data to the graph with which it is most appropriately displayed.