help-38

[hallow spruce]

So the other guy is wrong

The first one

How do you solve the first one then?

Why is 11 on Y?

Shouldn't it be at B?

[split socket]

Yup, you're right

Exactly

[hallow spruce]

So he was Wrong

Wtf

[split socket]

y stays y

Yeah

[hallow spruce]

So

I change it now

?

It's supposed to be at B

?

[split socket]

Yes, fix it

B is 11

[hallow spruce]

Ok

[thorny iris]

No

[hallow spruce]

Done

[hallow spruce]

?

[split socket]

👍

[hallow spruce]

Bro I swear

This teacher

Is just bad

[thorny iris]

Thy y intercept is always v

B*

[split socket]

Yeah, I feel ya.. Happens man, but you'll find help here

[hallow spruce]

My old teachers

Wrote stuff on the board

And we copy on our notes

And that is easier

She is expecting us to have all this memorize

Even for the final exam

Tf

[thorny iris]

Man i think you should do the work on sheets

[hallow spruce]

We do them

[thorny iris]

You dont have munch space there

[hallow spruce]

But she gives no answers

Or shows us how

[thorny iris]

Ask me what is unclear to you

[hallow spruce]

I was doing 1.f)

And so far I'm here

So

Now

8 subtract 0

So

B is 8

Horizonal line means 0,0 right?

[split socket]

What do you mean 0,0?

Like, a point?

[thorny iris]

1f is just y = 8

[split socket]

B is 8, that's right

[thorny iris]

Cus it says its a horizonal line

[split socket]

a is 0 since it's a horizontal line

[thorny iris]

So a is 0

Yes

[hallow spruce]

How

[thorny iris]

A vertical line has A = 0

[hallow spruce]

Ok

And horizonal?

[thorny iris]

So if the line passess throw the points 6,8 b needs to be 8

[thorny iris]

Thats the horizontal

Mb sory

1g) is only. X=7

This equation rapresents a vertical line that passess throw the points 7,12

[hallow spruce]

Bro

[thorny iris]

What?

[hallow spruce]

Ntoj?

Boh?

Horizonal and vertical would be 0

For slope?

[thorny iris]

Yea

[hallow spruce]

How would it be in (0,0)

0,0?

[thorny iris]

I dont understand you bro😂

[hallow spruce]

Bro I don't fucking understand you

So

0,0?

X is 0

?

[thorny iris]

Yea

You need a second point if you want to find the equaton of the line

[hallow spruce]

My fucking question is

How did you get slope as 0

Stop giving me solutions

And explain it

[thorny iris]

Ah ok

The slope is equal to the chang in y divaded by the chang in x

[hallow spruce]

??????????

HUH?

TELL ME THE FORMULA

HOW YOU GOT 0

CALUCILATE IT

CALUCULATE

[thorny iris]

A horizontal line has the same slopa as the x axes, and a point in x axes has a y =0

So 0 devided by something is equal to zero

[unreal loom]

unless it's 0/0

otherwise yeah

[thorny iris]

Slope = y2 -y1 / x2-x1. Since y2-y1 is equal to0. The slope is also 0

Do you understand now?

[thorny iris]

Ofc

[hallow spruce]

Slow dowb

How do you

Do 1.d

I don't understand

@thorny iris

[thorny iris]

When it says that is has a x intercept of x at 3, is means that the line passes throw the poin 3,0

Cuz y at the x axes is 0

[hallow spruce]

Bro the way you're explaining it

Just make it simple

Explain to me simple

Stop trying to sound smart

Act simple

[thorny iris]

Bro english is not my primary language

So im trying

[hallow spruce]

Cut the bs

Get to the end

X intercept is -3, does that mean it's -3,0?

[thorny iris]

X intercept of -3 means that thr coordinat of this point are x= -3 and y= 0

[hallow spruce]

Ok

[thorny iris]

Yes

[hallow spruce]

So

I perform the slop formula

Slope

[thorny iris]

No

You solve the system

[hallow spruce]

Then how tf am i supposed to find slop

Slope

[thorny iris]

I will show you a example

[hallow spruce]

If you aren't letting me to solve it

Wtf?

But you said it's -3,0

You gave me the answer

To solve it

[thorny iris]

Thats one point

The other one is 21,15

Look at these examples

You should solve the system

[hallow spruce]

So that's why I'm caluclating it!

And you're telling me not to do it

Slope is y2-y1 divide x2-x1

[thorny iris]

Man there are 3 different ways to solve this

[hallow spruce]

Why the fuck do I need

[thorny iris]

Im just telling one one of them

[hallow spruce]

Bro

What are the three ways

Stop confusing me

[thorny iris]

With system you have 2 equations with 2 unknowns

With the slope

[hallow spruce]

Sigh

Get me another helper

You're just very confusing

<@&286206848099549185>

You're stressing me out more also

[main cargo]

At which one are you now

[thorny iris]

Look 1) find the slope
2) put the slope to the formula
3) find b
4) write the linear equation

[main cargo]

And can you repost exercise it’s too far away

[hallow spruce]

I was expecting to get through this fucking page

This is just the first question

Of the review sheet

And we're still stuck

[main cargo]

Ok so 1d?

[hallow spruce]

Yes

[main cargo]

x intercept -3 means y is 0 at this point

So you can do slope = a = (y2-y1)/(x2-x1) again

[hallow spruce]

Ok so I'm fucking right

What is this guy talking about

Trying to waste time

SO I WAS RIGHT

BRO

THIS IDIOT

[thorny iris]

What mab

[main cargo]

And then with the slope a do y=ax+b with one of the points to get b

[thorny iris]

I told you from the very start

[hallow spruce]

You fucking said no

[hallow spruce]

^

[hallow spruce]

Y=ax+b here

[thorny iris]

I told you there are different ways to solve it

[hallow spruce]

Ok shoo

This guy is better at helping

[thorny iris]

Good for him

[thorny iris]

Look

[main cargo]

Ye edited

[hallow spruce]

Ok

Imma do it now

So

I'll do it here

0 subtract 15

Y2-y1

[thorny iris]

Yea

[hallow spruce]

-3 subtract 8

Ok so

-15 and -11

Now I divide

Ok

I got 1.36

As slope

[thorny iris]

Doestn 1d) says that the line passess throw the point 21 ,15

[hallow spruce]

Wtf

This doesn't work

[thorny iris]

So its 0-15\ -3-21

[hallow spruce]

Ok but

I got -15 and -24

And when I divide it

I get a werid decimal

[thorny iris]

Dont devide it

Its ok

[hallow spruce]

0.625

[thorny iris]

Ye it happens

[hallow spruce]

I turn it into a fraction?

Ok

[thorny iris]

If you want yes

[hallow spruce]

So slope is

5

8

[hallow spruce]

If I don't then what do I do?

[thorny iris]

Let it as a decimal

[hallow spruce]

What do I put as my slope?

My teacher likes fractions

[thorny iris]

I preper the fraction

[hallow spruce]

Can't i not round to 1?

[thorny iris]

This is good

No

You cant round anything

Now put everything to the formula Y= ax+b and find b

The y is 0 , x is - 3 and a is 15\24

[hallow spruce]

Ok

Ok

So

I got the slope

What now?

[thorny iris]

Do this

[hallow spruce]

Ok

[thorny iris]

Because you got the x and y from the point (-3,0)

[hallow spruce]

How do I times a fraction with 21

[thorny iris]

What?

You mean multiply?

[hallow spruce]

Yes

So I got 105 over 8

Is that correct?

Check for me please

So 13

[thorny iris]

Dont think so

You should multiply -3 with 15

All devided by 24

[hallow spruce]

Are you stupid?

That's not what I said

Look

[thorny iris]

Ok

[hallow spruce]

I times 5 ove r8 to 21

Got 13

And now I divide 15 with 13

For b

Or is it subtraction?

@thorny iris

[thorny iris]

Did you multiply 5/8 by 21 ?

[thorny iris]

At the end to find b you need to subtract

[hallow spruce]

Can you please look at my work

And check

For yourself

[thorny iris]

Whats that 13x you wrote there

?

[hallow spruce]

That's from multiplying

The X

[thorny iris]

But x is 21

[hallow spruce]

Yes

I multiply by 21

[thorny iris]

And what did you get?

[hallow spruce]

13

[thorny iris]

No

[hallow spruce]

Remember, it's a fraction form

[thorny iris]

You shiuld get 105/8

[hallow spruce]

I remove fraction form

Bro

I remove that

Because it's confusing

105 over 8 is 13

[thorny iris]

Its not 13 man

You should write the exact form

[hallow spruce]

Bro

[thorny iris]

13,125

[hallow spruce]

No

It's ok

I don't need to do exactly

Bro

[thorny iris]

Its not

Okkk

[hallow spruce]

I don't need the decimals

[thorny iris]

Do as you want

[hallow spruce]

Wtf

I DON'T NEED IT

[quaint garden]

Yo

[thorny iris]

So you did it right

[quaint garden]

Can someone help me woth inverse functions

[hallow spruce]

13.12

[thorny iris]

B is 15-13

[hallow spruce]

Bro get the fuck out of my help channel

This channel is owned by me

[quaint garden]

Why you toxic

Idk how to open my own

[thorny iris]

I want to sleep lol

[quaint garden]

Fucking bitchass boy

[hallow spruce]

Go #help-1

[thorny iris]

Is almost 12 am

[hallow spruce]

And type help

[hallow spruce]

Wait please

[thorny iris]

What do you want naw

Now

[hallow spruce]

Ok give me a second so I do the work

[thorny iris]

It seem like you understand them now

[hallow spruce]

Ok?

Wait

[thorny iris]

Ok

[hallow spruce]

I need to make sure

The answers correct

[thorny iris]

Tag me

[hallow spruce]

Ok

[thorny iris]

But ik telling you if a was the teaches i want the exact form with the decimals😂

[hallow spruce]

Ok

So

B is 1.88

?

@thorny iris

[thorny iris]

1,875

[hallow spruce]

Ok nerd

That doesn't matter

[thorny iris]

Hahahah

[hallow spruce]

My teacher ain't Iike that

[thorny iris]

Better for you

[hallow spruce]

Ok

So

Same thing for other one

?

[thorny iris]

Yes

[hallow spruce]

Ok

Now

Next question

.rotate

[thorny iris]

But why didtn yor substitute the point -3 ,0

Its easier

[hallow spruce]

What?

Wdym

[thorny iris]

You could used 0= -3 * 5/8 +b

nd from here find b

Its same thing just easier

[hallow spruce]

BRO

I KNOW

WHO CARES

[thorny iris]

Ok ok sry

[hallow spruce]

MOVING ON

How you do B

[thorny iris]

You need to solve each equation for y first

[hallow spruce]

HOW

[thorny iris]

Put it in the form y= ax+b

Keep y to one side of the equation

[hallow spruce]

If I move it, does it change to a positive?

Or negative

[thorny iris]

The x and the number changes to negative

[hallow spruce]

Ok

[thorny iris]

The first one becomes 15y = 5x-22

Than divide all by 15

To get y

The slope is the coeficent near x

So 5/15= 1/3

[hallow spruce]

They gave us Y intercept?

No?

[thorny iris]

b is the y intercept

Witch is -22/15

[hallow spruce]

So it's-2?

[thorny iris]

Remember devide everything by 15

To get y

[hallow spruce]

WHERE YOU GOT 15 AND --22 FROM

Bro

[thorny iris]

Look man

[hallow spruce]

Thid is B

B

Not A

Go question B

[thorny iris]

Ok i go question b

2y =-28 +4x

So y = -14 + 2x

The slope is 2

B is -14

And to find x intercept make y equal to 0

[hallow spruce]

Bro

Stop making math sound hatd

[thorny iris]

Man not againg

[hallow spruce]

Hard

[thorny iris]

Im not

Its easy

Go whach a yt video than

[hallow spruce]

4 is a negative because you brought it over?

Why is it a positive in this case?

[thorny iris]

Because i need to take care of the negative sign whitch y has

[hallow spruce]

Why?

[thorny iris]

To do that i multipy everything by -1

And than i brought it over

[hallow spruce]

Ok what

You're rn

Saying something

That's not part of it

[thorny iris]

How

[hallow spruce]

-1

[thorny iris]

You need to do the steps

[hallow spruce]

Where you got that

[thorny iris]

Look we want to find y not negative y

[hallow spruce]

Bro

<@&286206848099549185>

HELP

[thorny iris]

To remove the negative we multiply everything by negative one

[hallow spruce]

THIS GUY IS BAD AT EXPLAINING

[thorny iris]

You just bad at understanding

[hallow spruce]

Your way of doing it, is a lot different than how I've memorize it

[thorny iris]

Anyways how old are you?

[thorny iris]

I cant help it man

Thats how ive learned it

[hallow spruce]

Ok

[thorny iris]

?

[hallow spruce]

It doesn't matter

[thorny iris]

Just asking

[hallow spruce]

Why

[thorny iris]

Not making fun of you

[hallow spruce]

What does my age have to do

With this

What knowledge will you gain?

[thorny iris]

Nothing

[hallow spruce]

From someone online

You got no reasoning

What do you get from it?

If you know

[thorny iris]

To know haw to speak to you maybe

[hallow spruce]

What does it proven

No

Your English sucks

You need to improve it

[thorny iris]

Like you math

[hallow spruce]

Your*

[thorny iris]

Same with you man😂

[hallow spruce]

Stop trying to act good at English

It makes it confusing since you don't understand

[thorny iris]

Im better than you 100%

[hallow spruce]

I am actually good at math, i used to get 95s last year

[thorny iris]

Iam just lazy to write well

[hallow spruce]

The reason why I'm not doing good this year

[thorny iris]

Congrats

[hallow spruce]

Is because

I basically have no teacher

She gives paper

We self learn

You're lucky for teacher teaching you

My new teacher is not teaching me

[thorny iris]

I reall am man

Really*

[hallow spruce]

Yesterday

I asked for help

And the guy helped me instantly

You're taking hours to help with one question

Just get straight to the fucking point

And keep it basic

[thorny iris]

Its because you dont understand me

[hallow spruce]

This isn't an English assignment

This isn't space science

Just say

TAKE THE Y

BRING IT OVER

DONE

NOW

DIVIDE WITH 6

DONE

THAT'S HOW

[thorny iris]

What dont you understand when i say we multiply everuthing by -1

[hallow spruce]

Because

From my memory

I'm sure

That wasn't part of it

There has to be a different way doing it

[thorny iris]

But you need to find y not -y

[hallow spruce]

You aren't explaining why you should multiply everything by -1

When I do the test

Ill be confused and forget

It doesn't make sense

I need logic

Not memorizing

[thorny iris]

Thats why

[hallow spruce]

Bro

That has nothing to do

With the math I'm doing

Now can you leave me alone?

[thorny iris]

The linear equation is y= ax+b not -y= ax+b

[hallow spruce]

Fix your English first

[thorny iris]

Bay than

[hallow spruce]

.close

[trim jolt]

Channel closed

Closed by @hallow spruce

Use .reopen if this was a mistake.

[thorny iris]

I stayed late for nothing

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[past sapphire]

How does 3 root x become 9x

[burnt mulch]

$(3\sqrt x)^2=3^2 (\sqrt x)^2=9x$

[solid kiln]

Civil Service Exam is good

[past sapphire]

Thank you

[past sapphire]

But where does the square come from

[burnt mulch]

They squared both sides in the first line

[past sapphire]

Oh

Oh ok

Nah I get this thanks

.close

[trim jolt]

Channel closed

Closed by @past sapphire

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[analog plank]

So for this question

at 110s the instantaneous velocity is at 45, but how do I know if it's km/s^2 or just km/s

[small valve]

velocity is always in km/s

km/s^2 is a unit of acceleration

[analog plank]

ah gotcha

Thanks so much

[small valve]

sorry, km/s is always velocity

[analog plank]

Isn't that what you have haha

[rugged latch]

think abt it, the acceleration is basically (km/s)/s. its the rate at which the velocity changes. Thus the change in velocity (km/s) per second (/s)

[small valve]

i think my first message implied that km/s is the only way to show velocity

[analog plank]

ah

[small valve]

he said it better than i did

[analog plank]

it could be like m/s

[analog plank]

Thanks!

[rugged latch]

np

[trim jolt]

@analog plank Has your question been resolved?

Channel closed

Closed by @analog plank

Use .reopen if this was a mistake.

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[woven trail]

if I ate one cake on Monday

and I ate 4 times as many cakes on Tuesday

how many did I eat on Tuesday

just 4 since it’s times

but what u did is addition@

which is what ull use for ur qn

I was going to give that as my next eg HAHAHHA

but ur question wants addition

so do what u just did

[trim jolt]

Channel closed

Closed by @drowsy trench

Use .reopen if this was a mistake.

✅

Channel closed

Closed by @drowsy trench

Use .reopen if this was a mistake.

[tepid rock]

It is.

You let it be.

[solemn minnow]

i need help with math

[tepid rock]

#❓how-to-get-help

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[barren lion]

what is the first step to solving this problem

[barren lion]

obviously u cant just plug in infinity

[vernal briar]

multiply by the conjugate

by $\sqrt{x^2 + 36} + \sqrt{x^2 - 1}$

[solid kiln]

RedstonePlayz09

[vernal briar]

and also divide by it ofc

or else you'll be changing the value of the expression

[barren lion]

yeah im doing that rn

as in multiplying by the conjugate

lol

[vernal briar]

ok

[barren lion]

ok uh

heres what i got

[vernal briar]

that's a bit wrong

should be 37

but doesn't matter

[barren lion]

wait a minute

yeah

[vernal briar]

-(-1)

[barren lion]

shouldve distributed the negative

[vernal briar]

Alright,

now what does the denominator approach?

as x goes to infinity?

[barren lion]

uh idk

wait

i think i know the answer

if i plug in infinity

now

[vernal briar]

You don't "plug in infinity"

[barren lion]

i mean im putting it in the equation

[vernal briar]

You aren't

You are evaluating the limit

$\lim_{x \to \infty} \sqrt{x^2 + 36} + \sqrt{x^2 - 1} = \infty$

[solid kiln]

RedstonePlayz09

[vernal briar]

Do you agree with this?

[barren lion]

as the denominator yes

thats what my teacher taught tho

[vernal briar]

So what will 1 over that approach?

[barren lion]

to evaluate the limit

you plug in the value that x is approaching

[vernal briar]

yes but x isn't approaching any value

it's approaching infinity

[barren lion]

yeah

[vernal briar]

getting bigger and bigger

so it's not correct to think about it as "plugging"

[barren lion]

so putting infinity into the equation would yield 37/infinity which is 0

[vernal briar]

well yes

it's limit arithmetic, you should write it as "37/infinity"

in quotation marks

[barren lion]

ok

thanks dude

.close

[trim jolt]

Channel closed

Closed by @barren lion

Use .reopen if this was a mistake.

[vernal briar]

No problem!

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dapper spruce]

How would you prove by contradiction: There is no smallest irrational number.

What I have tried so far is: Suppose on the contrary that there is a smallest irrational number, call it x. Then x-1 is a smaller number, and so must be rational. This means that x-1 = m/n for some integers m, n, where n != 0. But then we get x = m/n + 1, where m and n are integers, so x is rational and we get a contradiction.

[dapper spruce]

The problem I am facing is that this proof states "There is no smallest irrational number" rather than "There is no smallest POSITIVE irrational number" which makes it difficult for how I should account for negatives and positives

[digital bison]

smallest in magnitude?

[dapper spruce]

yes

or instead of x-1 would it be x/2

[digital bison]

x/2

if x is already negative (or a small positive) then you don't know that x-1 is in fact a smaller irrational (in magnitude)

[dapper spruce]

makes sense

so how would I change my proof differently

apart from changing x-1 to x/2

[digital bison]

basically it's the same idea. use absolute values to take care of the negative cases and show you have a smaller irrational

[dapper spruce]

Suppose on the contrary that there is a smallest irrational number, call it x. Then x/2 is a smaller number, and so must be rational. This means that x/2 = m/n for some integers m, n, where n != 0. But then we get x = 2m/n, where 2m and n are integers, so x is rational and we get a contradiction.

how would I add that into here though

regarding the absolute values

for the negative irrational values

[digital bison]

|x/2| < |x|

[dapper spruce]

where would that go in teh proof

and is there anything else I would change

just very confused on this problem

[digital bison]

where you claim that x/2 is a smaller irrational

otherwise it looks fine.

[dapper spruce]

great thanks i think i understand it now

.close

[trim jolt]

Channel closed

Closed by @dapper spruce

Use .reopen if this was a mistake.

[dapper spruce]

.reopen

[trim jolt]

✅

[dapper spruce]

quick question, would I mention taht its a "smallest positive irrational number" or no

.close

[trim jolt]

Channel closed

Closed by @dapper spruce

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[grand trench]

how does softmax work?

[trim jolt]

Please don't occupy multiple help channels.

[sharp arrow]

@grand trench you have already created #help-47 stick with it

[grand trench]

sory

[sharp arrow]

close this

[grand trench]

the channel disappeared for me

[grand trench]

how?

[sharp arrow]

.close

[trim jolt]

Channel closed

Closed by @sharp arrow

Use .reopen if this was a mistake.

[grand trench]

.closo

.close

.close???

[sharp arrow]

nvm i did it

[grand trench]

nvm?👀

[sharp arrow]

never mind

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[terse sonnet]

{1, 2, 3...k} -> N means N^k right? does this also mean {1, 2, 3...k} -> {1, 2, 3...k} = k^k?

[trim jolt]

Please don't occupy multiple help channels.

[terse sonnet]

or {1, 2} -> k = k^2?

[valid moss]

in what context

[wraith hinge]

what is S -> S'

[terse sonnet]

cardinality, my bad

[trim jolt]

@terse sonnet Has your question been resolved?

[trim jolt]

@terse sonnet Has your question been resolved?

[trim jolt]

@terse sonnet Has your question been resolved?

[trim jolt]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[wraith hinge]

kinda stuck on this one

I simplified it to 1/x^2 ( x + 1)

[trim jolt]

@wraith hinge Has your question been resolved?

[fair bison]

how did you get that

[wraith hinge]

i meant this

whoops

[fair bison]

ohh okay

so for the (x+2), that basically will behave like 2 right?

because 0+2 = 2

so you'll get 2 / (x^2 (2))

does that make sense?

[wraith hinge]

if i plug in 0 for the denom it's just 2/0

[fair bison]

right, you can't plug it in for the x^2 because then you get problems

but there's nothing wrong with plugging it in for the x+2

[wraith hinge]

but isnt 0^2 = 0

[fair bison]

yeah that's true, but the real issue is that it's in the denominator

and when you have 0 in the denominator, unexpected things happen, and the graph does weird stuff

[wraith hinge]

still kinda confused

how would i find the limit

would it just simplify to 2/2x^2 then

[fair bison]

yeah, so then you have 1/x^2

and what's the limit of that as x-> 0-?

[wraith hinge]

infinity?

🧐

im just kinda confused how the 0^2 just dissapears

[fair bison]

yeah, it goes to infinity

the way to think about this is that x is a really really small negative number

so like

x = -0.0000000001

for example

then, 2/(x^2 (x+2)) will give you 2 / ((-0.0000000001)^2 ( 1.9999999999))

and then 2 is really really close to 1.9999999999 so those two things will cancel out basically

and you'll get 1 / (-0.0000000001)^2

so 1 over a really really really small positive thing

well that's gonna give you a really really really big positive number

so we say that the limit goes to infinity

[wraith hinge]

ooh ok ty i see

[fair bison]

no problem!

[wraith hinge]

i get it now ty

.close

[trim jolt]

Channel closed

Closed by @deft crow

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[uneven parcel]

how do i find the inverse of y=2-1/2x

[lyric hawk]

You need to solve for x in terms of y.

Because you want to find the input in terms of the output.

[uneven parcel]

i did that but got the wrong answer

i switched x and y

[uneven parcel]

i switched and go x=2-1/2y

[lyric hawk]

No, that wouldn't be it.

[uneven parcel]

oh

[lyric hawk]

You can't just switch the variables to get one in terms of the other.

The only thing that you can do is manipulate both sides to get an equation of the form x = (something in terms of y).

[uneven parcel]

so i move x

to right?

or i do 2x2

[trim jolt]

@uneven parcel Has your question been resolved?

[trim jolt]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[errant quail]

How would I go about calculating the limit?

I know that it converges and wolfram is telling me that the solution is 10/3. But I don't know how to get there.

[errant quail]

I reformulated 4^n to 2^n+1 which seems to be the right direction

[young swift]

what tests have you tried

oh, you already found that nvm

[errant quail]

oh nvm. It would become 2^(2n)

Still don't know how to continue :(

[young swift]

well first you can expand out the function

to 2^n/4^n

and 1/4^n

$\frac{2^n}{4^n} and \frac{1}{4^n}$

[solid kiln]

InfinityMango

[errant quail]

alright

then we can divide the first part to

$\frac{1}{2^n}+\frac{1}{2^(2n)}

[young swift]

$\frac{1}{2^n}+\frac{1}{2^(2n)}$

[solid kiln]

InfinityMango

[young swift]

and no, you will want to pull out the exponent from both sides

[errant quail]

not sure what that would look like 😅

[errant quail]

Ohhh

[young swift]

and from there it is just a geometric series

[errant quail]

alright. I'll have to google how to calculate that

[young swift]

the sum of a geometric series $a*r^n$ is $\frac{a}{1-r}$

[solid kiln]

InfinityMango

[young swift]

and you just have to add the two sums together

[errant quail]

Alright. Thank you very much :D

.close

[trim jolt]

Channel closed

Closed by @errant quail

Use .reopen if this was a mistake.

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[fast comet]

Is this the final answer?

[fast comet]

But there's 2 (6^p-1)

[lilac wind]

Need to cross out both (6p-1) in the denominator

[viral shore]

Ok ur first step is correct
But ur gcf of denom wrong

[lilac wind]

As you are essentially dividing both the top and the bottom by (6p-1)

[viral shore]

U will end up with (2t+3m)(6p-1)

Then jusr cancel out normally

[lilac wind]

The denom in 2nd step is correct, just going from 2nd to 3rd is wrong. But it is easier to see why if you can write it on the form this person is suggesting

[viral shore]

Ah yeah I meant this ^

[fast comet]

If i do this, won't it be 7n/(2t+3m)?

[lilac wind]

Correct

[fast comet]

Alright thank you!

[lilac wind]

No worries

[fast comet]

.close

[trim jolt]

Channel closed

Closed by @fast comet

Use .reopen if this was a mistake.

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[compact girder]

Why is the solution not expressed as + or -?

[compact girder]

Notice y(x) = positive

Shouldn't it be + or -?

[lament jewel]

um

what the full context

[compact girder]

We are finding the solution of y'.

@lament jewel

[lament jewel]

they prob

just eliminated one without saying

due to

[compact girder]

@lament jewel Sorry, I don't understand. Why does y(0) = 1 allow you to eliminate one?

[lament jewel]

um

from this

if u sub x=0

ud get 1

[compact girder]

Oh, I see. If it was negative, then it would be a false statement correct?

@lament jewel

[lament jewel]

hm

actually

im not sure :c

is y a function?

if y is not a fn it can take multiple vals

i wld assume it is in this case

in any case they shld made it clearer if they elim the neg part ig

[acoustic trout]

the minus case is false, yes

y(0) does not equal 1 in that case, so it's not part of the solution to the DE

[compact girder]

Alright, makes sense.

Thanks.

.close

[trim jolt]

Channel closed

Closed by @compact girder

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[maiden wave]

do you guys mind assisting me with the ones i underlined

[lament jewel]

this

looks like

binomial

HAHHAA

[maiden wave]

i cant seem to get the sample space for darts

since coins r

[lament jewel]

wait wdym sample space

[maiden wave]

H & T

[lament jewel]

oh

uve to use a tree diagram

i didnt see that

ok how does ur tree look like rn

its gonna be a big tree

[maiden wave]

no

i thinjk

its going to be 2x2x2

[lament jewel]

yea

thats

bit big

anyway

[maiden wave]

something like this

[cerulean ember]

A level deeper

[lament jewel]

ye ik

[maiden wave]

im not that good at tree diagrams

[lament jewel]

OHH yea ral

i thought that last part was some special tree diag thing

which accounted for the last layer

[maiden wave]

its always H/T

if its coins

[lament jewel]

its essentially the same

but instead of HT u just use

well

u can use HT lol

if u want

[maiden wave]

how

what will it represent

[cerulean ember]

H- hit the bulls eye, T - miss

[lament jewel]

H will represent hitting the bulls eye

yea n T is just not bulls eye

[maiden wave]

heres a close up

[lament jewel]

or missing it

[cerulean ember]

i) asks for exactly one T
ii) asks for at least one H

[maiden wave]

he attemp0ted 3 throws

[cerulean ember]

That's the depth of the tree

[maiden wave]

okay

[cerulean ember]

How many leaves fit each?

[maiden wave]

what leaves

[cerulean ember]

The tips of the tree lol

[maiden wave]

8

[cerulean ember]

Fixed a small mistake there

[cerulean ember]

How many of those have i), and how many ii)

[maiden wave]

hm m

[cerulean ember]

How many just one T, and how many at least one H? Each leaf of the tree diagram is like HHH, HHT, etc.

[maiden wave]

I got HHH

is highlighting them like this correct

[cerulean ember]

Sure, how many paths from left to right have just one blue edge?

[maiden wave]

1?

wait no 2

[cerulean ember]

It's a bit confusing lol

[maiden wave]

3/8

for i

[cerulean ember]

Yes!

[maiden wave]

idk about ii

[cerulean ember]

ii asks for paths that go up at least once

[maiden wave]

hmm

not quite clear

[cerulean ember]

"He hits the bulseye at least once"

[maiden wave]

but it]

said]

[cerulean ember]

That is all but the attempt where he misses every time

[maiden wave]

oh

7/8

[cerulean ember]

Yeah

[maiden wave]

how do u draw this though

[maiden wave]

thanks

;3

[maiden wave]

is this just a repetition

since it said box 2 is

1 & 2

uh\

[cerulean ember]

Yes, the sum and product will be different tho

[maiden wave]

oh

[cerulean ember]

In the previous excercice you went through the tree looking for hits or misses, now you go once adding and another multiplying

[maiden wave]

OH

i get it

:D

u just add

and multipl;y

so box b

is just 1 and 2

uptil 4

[cerulean ember]

[maiden wave]

ok let me solve them

theres

16 outcomes now thoughtright

im done with the table

@cerulean ember

if u add the sum and product

which is 8 + 8 = 16

or is the outcome still 8

hpo

the highest ppossible outcome

[cerulean ember]

I think you're just supposed to complete the table

[maiden wave]

ok

how many outcomes does it have

;?

[cerulean ember]

8, and the table is 2*8

[lament jewel]

whats

happenin

[maiden wave]

what

wdym 2^8

[cerulean ember]

No no, 2 times 8, i.e. 16

[maiden wave]

im confused

is the outcome 8 or 16

@cerulean ember

[cerulean ember]

The answer is the table lmao

[maiden wave]

ok

thanks

;3

[trim jolt]

@maiden wave Has your question been resolved?

[trim jolt]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[inland dome]

[] being floor of a number, to demonstrate that the equation is equal with 2, n being included in the natural numbers group

[trim jolt]

@inland dome Has your question been resolved?

[trim jolt]

@inland dome Has your question been resolved?

[inland dome]

.close

[trim jolt]

Channel closed

Closed by @inland dome

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[tawdry lantern]

So i am currently learning the quadratic formula. And the internet says it used to solve for x in an quadratic equation. Okay but then what? What can I do with the x once it is solved?

[lament jewel]

u can use the value of x

[tawdry lantern]

Yea but for what circles, graphs, triangles?

[lament jewel]

um

quadratic equations?

like

[split chasm]

not sure what else you want and/or are expecting

[lament jewel]

just this

when y=0

aka values of x-intercepts

[tawdry lantern]

Ah okay cool now I get it thanks!

.close

[trim jolt]

Channel closed

Closed by @tawdry lantern

Use .reopen if this was a mistake.

[lament jewel]

cool

that u got it

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[sharp arrow]

,w m^2 in cm^2

[solid kiln]

Results provided by WolframAlpha

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

Requested by Deep.#0001

[sharp arrow]

yes seems correct

[lament jewel]

i guess

[trim jolt]

Channel closed

Closed by @gaunt oriole

Use .reopen if this was a mistake.

[lament jewel]

💕

[sharp arrow]

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[viscid plaza]

Can someone tell me why is beta 30 degrees in this?

[austere sierra]

angles on a straight line add up to 180 degrees

[viscid plaza]

Can you draw what you mean?

[austere sierra]

oh

it’s on your diagram

got this from google

[viscid plaza]

Okay, ty

.close

[trim jolt]

Channel closed

Closed by @viscid plaza

Use .reopen if this was a mistake.

[trim jolt]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[bitter quest]

Why does this work?

[viral shore]

ok hol on

[bitter quest]

Okay

I guess the question is why does dx = du ?

[viral shore]

didnt do that

no need to

btw thumb reveal ???

[bitter quest]

Loll

Thank you