help-28

[velvet spoke]

"SolveCubic" is a function implemented by some computer software or your CAS. There's actually a closed form formula for solving cubics, but it is very long (to the point that no human being would want to use it)

wdym "why it works"

[torn jolt]

Mathologer has a nice video on the derivation of the cubic formula

https://www.youtube.com/watch?v=N-KXStupwsc

[full forum]

Channel closed

Closed by @wooden lake

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.

[last scaffold]

how do i solve this with null factor law?

[hot herald]

what have you tried so far

[last scaffold]

i grouped them becoming
2x^2 + x -3x = 0
then i factored out x becoming
x(2x - 3) = 0

[warm abyss]

Where does the +x go to?

[onyx glen]

x(2x + 1 - 3) if you wanted to do it this way

[last scaffold]

when i canceled x i thought i had to remove + x

[onyx glen]

x is x*1

nothing remains after you do that, but it's not an additive nothing (0), it's a multiplicative nothing (1)

[last scaffold]

oh ok

so do i simplify further

or no?

[onyx glen]

well you could have simplified x - 3x into -2x...

or +1-3 into -2 after factoring out x

[last scaffold]

how would i factor out x? there is no other number with lcm x

[onyx glen]

it appears there is some confusion between us as to which steps were and weren't taken...

2x^2 + x - 3x = 0
collect like terms here to get
2x^2 - 2x = 0
factor out x to get
x(2x - 2) = 0

[last scaffold]

alr thanks for the help

.close

[full forum]

Channel closed

Closed by @last scaffold

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.

[torn jolt]

hey

[torn jolt]

can someone please help with 2

[full forum]

@torn jolt Has your question been resolved?

[charred crag]

Decompose it like the following $$\frac{A}{x+3}+\frac{B}{x-1}+\frac{C}{(x-1)^2}$$

[glossy valve]

Munazza

[charred crag]

@torn jolt

[full forum]

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.

[cloud osprey]

Hey
Sequence of 5, 19, 41, 83?

[onyx glen]

are you asking for the next term while giving us only the first four terms and nothing else? @cloud osprey

[cloud osprey]

wait i will give you more terms

[onyx glen]

i dont need more terms

you'll only give finitely many

show us the problem exactly as it was stated

if it really is a "guess what number im thinking of" then so be it

[cloud osprey]

thats my exam

[indigo sorrel]

what's the question?

[cloud osprey]

.

[nocturne creek]

Give

[cloud osprey]

k wait

5, 19, 41, 83, 149, 245

@nocturne creek

[nocturne creek]

Cant help sorry

[nocturne creek]

Are you sure about the terms 149 and 245

[cloud osprey]

ye

[indigo sorrel]

?

[nocturne creek]

Do you have the actual question

How ever you just able to generate two more terms when asked🧐

[indigo sorrel]

@cloud osprey is your question "what's after 245?"

[full forum]

@cloud osprey Has your question been resolved?

[full forum]

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.

[mossy anvil]

could i have help with these please

[full forum]

Please don't occupy multiple help channels.

@mossy anvil Has your question been resolved?

[fervent meteor]

What problem are you facing?

[mossy anvil]

im not sure how to do c

[full forum]

@mossy anvil Has your question been resolved?

[mossy anvil]

<@&286206848099549185>

[half jackal]

now I started to looking question

[mossy anvil]

thank you

[half jackal]

I guess it is 1.9/3 and dividing to 13791 because it says 1.9 adult per household and 3 person sellected

[mossy anvil]

i dont really understand, what am i dividing sorry?

[half jackal]

dividing number of households in sample

but my answer can be wrong

I really tired at school today

[mossy anvil]

oh dont worry about it, i appreciate your time and helo

help

thank you, i'll try your method

[full forum]

@mossy anvil Has your question been resolved?

[full forum]

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.

[open musk]

Am I on the right track for 11a?

[torn jolt]

It's a bit hard to read

[torn jolt]

Ok

Also value at 4rd week is 150

[open musk]

Emm 😂😂

I think I go on a weird way

[torn jolt]

you wrote 3rd week is a(1-r%)^2 and 4rd week: a(1-r%)^4

[open musk]

Ohhh 😅

Changed it to 3 now

[torn jolt]

Alright

Then you have a(1-r%)^3=150

[open musk]

Yes

I cross the a=first term

N I know power infinity =0 ?

Not sure if it is right

[open musk]

I divided the infinity term over the 4th term

[full forum]

@open musk Has your question been resolved?

[torn jolt]

(1-r) < 1 so when the power becomes big it goes to 0

I'm not sure you can use the formula here actually

After first week he made (in total) a

After second week he made a + a(1-r%)

After third week he made a + a(1-r%)+a(1-r%)²

Then for four week: a + a(1-r%)+a(1-r%)²+a(1-r%)^3

=150 and the limit of the sum is going to 160 so $a\cdot \sum ^{+\infty }_{i=1}\left( 1-r\right) ^{i}=160$

[full forum]

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.

[cedar viper]

can someone explain how to go from the 1st step to the second

?

[fast peak]

the second factor is a difference of squares

so it factors into (1-lambda-3)(1-lambda+3)

cancel the minus signs and you're done

[cedar viper]

and the 1st term?

[fast peak]

(-2-lambda)=-(2+lambda)

[cedar viper]

so where does the 4 come from

?

[full forum]

@cedar viper Has your question been resolved?

[full forum]

@cedar viper Has your question been resolved?

[cedar viper]

.close

[full forum]

Channel closed

Closed by @cedar viper

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.

[jaunty wren]

A combinations question with cases. Also solving using direct/indirecet reasoning. Does everything look right here?

[north nacelle]

i neeed some help

[jaunty wren]

I am in this help section...

it's being used

you have to pick an empty one

[north nacelle]

oh i see i apologize

[jaunty wren]

no worries

#rules

[north nacelle]

how do i pic one

[jaunty wren]

#❓how-to-get-help

but to answer your question

if H is the midpoint

then the points are colinear

so they are equidistant from H

there if the line segment HI is = 28

HJ will be?

@north nacelle

[north nacelle]

hm

[jaunty wren]

Do you understand the terminology?

[north nacelle]

i do not

i wasnt here when we learned this

i came a bit late

[jaunty wren]

that's ok

one second

what grade are you?

jw

[north nacelle]

i am 10

10th grade

[empty sapphire]

hey so you're very nice to help out another, so I'll toss your answer up and say the answer is correct.

Reasoning is good too

[jaunty wren]

Ok ty mellow

Can you help me explain to pingu his question

[empty sapphire]

yeah sure

Hi @north nacelle Okay so your question is asking about the midpoint

[north nacelle]

yes

[empty sapphire]

so in your own words, what does midpoint mean to to you?

[north nacelle]

i have to review for midterm

[empty sapphire]

doesn't have to be right

[north nacelle]

the middle of the point

[empty sapphire]

yep bingo!

So if we have a line IJ, and H is the midpoint

then we have something like this

      (28)
(I)--------------(H)--------------(J)

right?

we know that from I to H is 28

[north nacelle]

yes

oh i see

it now

[empty sapphire]

good! 🙂

[jaunty wren]

yes 😄

[north nacelle]

it should be 28

[jaunty wren]

2X28

[empty sapphire]

https://tenor.com/view/weekend-party-champagne-gif-18280013

[north nacelle]

i also have another equation if you guys dont mind helping

[jaunty wren]

the length of IJ is 2x

because it's twice the length

[empty sapphire]

that's what Dankus meant by equidistant. It means that IH and HJ are the same length

[north nacelle]

yes i was having some trouble

i didnt draw it out

[empty sapphire]

sure what's your other question

[north nacelle]

yes right here

[jaunty wren]

it always helps to try to visualize things and reason it out pingu 😄

for future

[jaunty wren]

especially geometric reasoning

[north nacelle]

yes thank you

but i really dont undersyand this thing

[jaunty wren]

Do you know khanacademy.org?

[north nacelle]

oh yes

i do

[jaunty wren]

I always use it for brushing up myself

[north nacelle]

i see

sometimes i do not know what these equations are called

[jaunty wren]

very useful. In the future I recommend using it to search stuff your rustsy on 🙂

this would be basic algebra in that unit

[north nacelle]

alright will do thank you

[jaunty wren]

excuse me

basic geometry

https://www.khanacademy.org/math/basic-geo

[north nacelle]

thank oyu

[jaunty wren]

Ok so

[empty sapphire]

okay so let's reason this one out. What we're given is the angles between the lines

[north nacelle]

yes

[empty sapphire]

to make it easier to spot what to do I color coded it

forgive my handwriting I"m left handed and had to draw it right handed with a mouse 😦

[north nacelle]

yes i see

[north nacelle]

no worries

[empty sapphire]

haha we had the same idea!

we even have the same colors 😮

[jaunty wren]

lol'

[north nacelle]

i am looking at it now

[jaunty wren]

do you know how to read the notation?

like m<ZWY

[north nacelle]

so it is 180 the sum right

[jaunty wren]

the middle letter always refers to the angle

it's isn't 180 degrees, it's the sum of the 2 adjacent angles

[north nacelle]

so i add?

[empty sapphire]

bingo

[north nacelle]

i see

[jaunty wren]

does that make sense pingu

[north nacelle]

i got 126

[jaunty wren]

because you see those 2 angles are adjacent

[north nacelle]

do we have to add for all of them?

[jaunty wren]

so the angle that is equal to both of them must be the sum of the two adjacent angles

[north nacelle]

i see

so what about this one

how do you guys draw in your pictures?

[jaunty wren]

I have a writing tablet

connected to my pc

[north nacelle]

does it just start writing?

what app do you use?

[jaunty wren]

I usually use onenote

or whiteboard

I run windows OS

[north nacelle]

i see

i will use whiteboard

dankus is x=5?

[jaunty wren]

After this one I must go, I have a night class in 20 min and I still have 1 question I need to do myself XD

[north nacelle]

oh i see no problem man

thank tou for the khan academy tip

[jaunty wren]

Yeah, khanacademy is a lifesaver man

I use it constantly

to brush up on stuff

I would highly recommend going through the entire curriculum on khanacademy up to your grade level

Literally start at grade 1

and work up

it will help fill in any gaps

[north nacelle]

i see

alright thank you

see you later dankus

[jaunty wren]

wait

I help you

with this one

I'm filling it in

@north nacelle Does this make sense to you

.close

[full forum]

Channel closed

Closed by @jaunty wren

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.

[heavy wolf]

have no clue

feel like its pretty simple just dont know where to start

For a) i can just say that 0 vector is a subspace of any vector space

But b im not sure

[full forum]

@heavy wolf Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[full forum]

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.

[lost comet]

I'm trying to do a physics problem, but I believe it requires integration. With integration, I'm confused about units

[lost comet]

I'll quickly draw up an example since I don't know how to use LaTex

wait no I'm fine I think

yea I'm fine

.close

[full forum]

Channel closed

Closed by @lost comet

Use .reopen if this was a mistake.

[full forum]

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.

[north nacelle]

hello

how do i solve this it makes no sense

[full forum]

@north nacelle Has your question been resolved?

[full forum]

@north nacelle Has your question been resolved?

[full forum]

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.

[hasty tree]

can anyone p[lease help

me

pelase

I will fail this calss w/o you guys

[plush egret]

what have you tried

[full forum]

@hasty tree Has your question been resolved?

[hasty tree]

nope

[hasty tree]

sorry nothing yet cuz idk where to start

[plush egret]

you should watch some videos or something, to get questions

[hasty tree]

is it where

[plush egret]

or to help guide you in getting help 🙂

[hasty tree]

I have to make it like a factored form to get the x's?

[plush egret]

do you know what a domain and range are

https://www.youtube.com/watch?v=ijWEMfLuqR0

[hasty tree]

yeah domain is how far the x can go right?

adn range is the same thing for the y?

[plush egret]

thats one way to say it yea

domain is everything that is okay to put into the function

range is everything you can get out

[hasty tree]

hgm?

hm?

wdym

[plush egret]

? which part

[hasty tree]

everything you canm put on your function?

[plush egret]

every number thats valid to put into a function

[hasty tree]

I se

thn y is the same then?

[plush egret]

the same as what?

[hasty tree]

like everything you casn put?

[plush egret]

you dont get to pick y

its a dependent variable

[hasty tree]

oh

akright

so like how do I figure out the range and domain after making it a factored form

[plush egret]

you dont need to factor it per se

its a quadratic right

parabola

oh, no its not

lol

its a polynoomial

[hasty tree]

so uh

[plush egret]

domain of polynomials is all real numbers

do you believe me

[plush egret]

lets just say numbers

[hasty tree]

idrk real numbers

[plush egret]

the domain of a polynomial is everything

[hasty tree]

li,e the whoel thing is a domain?

[plush egret]

compare to something like f(x)= 1/x

like there is no number that isnt okay to put into it

youre usually worried about like

division by 0

square root of a negative number

log of a negative number

stuff like that

polynomials are just multiplication

so you dont expect a lot of problems

[hasty tree]

hm

soi what do we do

[plush egret]

you should watch some examples

[hasty tree]

shouldn;t be more easier to like graph it

then see the imit

[plush egret]

yea, graphing it is a technique

[hasty tree]

bgut what confuses me is that

[plush egret]

if you know how to graph it, and what to look for

[hasty tree]

it has those parabolas

so idk

[plush egret]

,w graph x^3

[glossy valve]

Results provided by WolframAlpha

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

Requested by jan Niku#2119

[plush egret]

lets start here

whats the domain of x^3

[hasty tree]

do I get liekthe tallest one and the shortest one?

[plush egret]

if you use graphing you look for bottoms and tops

global bottoms and tops

[hasty tree]

so like

those ones?

[plush egret]

no, global

find the biggest value overall

[hasty tree]

hm

so

solve for f(x)?

[plush egret]

no

you need to use basic facts about polynomials

like whats the biggest number that x^3 gets to

its a trick question

[hasty tree]

hmm

f(x) = 3x^5 - 8x^3 + 2?

so like

if the degree is 5 then it'll be 3?

or?

[plush egret]

no

im asking

whats the biggest number it gets to

the output

whats the tallest it gets before it starts getting smaller

[hasty tree]

for cube?

[plush egret]

idk im just trying to stick with one example i dont care what it is

[plush egret]

do you want to use this

[hasty tree]

yes pelase

[plush egret]

.

its a trick question

it never comes back down

[hasty tree]

so its infinity?

[plush egret]

for the upper bound, yea

how about the other direction

whats the most negative it gets

[hasty tree]

that looks like 4

oih

[plush egret]

,w graph 3x^5-8x^3+2

[glossy valve]

Results provided by WolframAlpha

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

Requested by jan Niku#2119

[plush egret]

what is happening on the left

[hasty tree]

goes down

[plush egret]

yea

when does it stop goin down

[hasty tree]

infinity\

[plush egret]

-infinity

[hasty tree]

yes

[plush egret]

this is a basic fact about some polynomials you should know

know as in not like

know already

but you should have it in your back pocket

that if theyre odd order

like the highest power is an odd number

[hasty tree]

yeah but the thing is its just confusing about the parabolas inside

[plush egret]

then they have domain of -inf to inf

and range of -inf to inf

[hasty tree]

cuz I tohuhg that's where you base off the range and domain

so like will there be any domain for this?

[plush egret]

i dont understand this question

[hasty tree]

so like

you know how the end

it goes infinitynright?

[plush egret]

the end?

[hasty tree]

so like

wouldn't it be inifinity too for the domain or x

[plush egret]

all polynomials have domain -infinity to infinity, yea

[hasty tree]

oh

so is the answer just infinity unbless what?

[plush egret]

what happens if its an even order polynomial

[hasty tree]

doesn't it like start at the top?

[plush egret]

,w graph 4x^4-2x^2-1

[glossy valve]

Results provided by WolframAlpha

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

Requested by jan Niku#2119

[plush egret]

whats the range here

is it -infinity to infinity?

[hasty tree]

yes

oh wait

nonoon

infinity up

cannot go pass uh 1.4?

[plush egret]

its how even polynomials are

they dont go up on one side and down on the other

both ends go up or both ends go down

so you have to find the maximum or minimum

to find the range

[hasty tree]

so

if its odd

then it both goers infinity?

[plush egret]

.

[hasty tree]

hm

so was I corredct?

or does it reallyt depends

opn what the eqn is

[plush egret]

it depends, yea

[hasty tree]

so if its odd

,w graph 4x^3 - 2x -1

[glossy valve]

Results provided by WolframAlpha

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

Requested by Zen#4082

[plush egret]

if its odd, you get -inf to inf for domain and range

both

if its even, if you have to do more work

because the range will be limited somewhere

[hasty tree]

I see

then what if its even and odd

wont it be like the same as odd?

or>?

[plush egret]

it cant be even and odd if its a polynomial

its only one or the other

[hasty tree]

oh

what about quadratic

[plush egret]

what does the behavior tell you

a parabola right?

is the range of a parabola -inf to inf

or is it limited

(does it have a bottom/top?)

odd order polynomials dont have a bottom or a top, globally

[hasty tree]

yeah but the parabola ones dont

[plush egret]

they have a bottom or a top right

thats the whole thing with like vertex form

[hasty tree]

I see

s.o uh

[plush egret]

,w extrema x^4-2x+5

[glossy valve]

Results provided by WolframAlpha

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

Requested by jan Niku#2119

[hasty tree]

in quadratics do ytou only look at the ends or?

[plush egret]

no

you find the minimum or maximum

[hasty tree]

so fr this

[plush egret]

this is odd order

[hasty tree]

the end points right?

[plush egret]

there isnt any work to be done for an odd order polynomial

[hasty tree]

so itsw infinity?

[plush egret]

.

[hasty tree]

I see

so it is

then

this one

is even

right

[plush egret]

yea

[hasty tree]

so the max ios that 7

the infinity goes down

[plush egret]

idk it doesnt look like a nice number

youd have to click on it

or use calculus

[hasty tree]

this?

[plush egret]

yea

[hasty tree]

so the liumit is whatever number that is

[plush egret]

the range is limited there right

since thats where it turns around

and starts going back

[hasty tree]

so yer = {7.74 < inifnnity?}

[plush egret]

the notation needs work

are you drunk lol

[hasty tree]

lol

1 sec man

chill

[plush egret]

https://www.youtube.com/watch?v=Ww7xtG2S7IM

[hasty tree]

wait wait wiat

so

what is it

;-;

so f(x) < 7.74?

@plush egret

,close

s,help

,help

[glossy valve]

A brief description and guide on how to use me was sent to your DMs!
Please use ,list to see a list of all my commands, and ,help cmd to get detailed help on a command!

[hasty tree]

,list

[glossy valve]

My commands!

Use ,ls to obtain a briefer listing, and use ,help <cmd>to view detailed help for a particular command, or ,help to view general help.

If you still have questions, talk to our friendly support team here.

Meta

View or set meta-information about me.
​ ​ ​ ​ ping: Check heartbeat and API latency.
​ ​ ​ ​ help: Bot and command usage information.
​ ​ ​ ​ list: Lists all my commands!
​ ​ ​ about: Shard status and bot statistics.
​ ​ invite: Sends the bot's invite link
​ ​ prefix: View bot prefixes and set a personal prefix.
​ support: Sends the link to the bot guild
feedback: Send feedback to my creators

Page 4/4

[full forum]

@hasty tree Has your question been resolved?

[plush egret]

.close

[full forum]

Channel closed

Closed by @plush egret

Use .reopen if this was a mistake.

[plush egret]

woah what

.reopen

[full forum]

✅

[plush egret]

i can close channels

[hasty tree]

jnust close it ppllease

I think I figured it out

[plush egret]

you got it?

[hasty tree]

yeahh

[plush egret]

ah, nice dude

[hasty tree]

cuz

[plush egret]

sorry ive been havin trouble staying awake today

.close

[full forum]

Channel closed

Closed by @plush egret

Use .reopen if this was a mistake.

[hasty tree]

nah its ojkay

so like

[plush egret]

.reopen

[full forum]

✅

[hasty tree]

the lines at the enddoesnt stop

[plush egret]

yea, exactly

in an odd polynomial

[hasty tree]

thereofre its negative infinity < x < infinity

yup

and then its the same for the range

cuz as the lines at the end goers up or goes down, it continues to expand

then for this

the lines at the does go down and continues to expand therefore the domain is the same as the 1st one

but

its an ecen function as you said.

therefore there is a point on where the l;ines at the end can go

tehrefore f(x) < 7.74

[plush egret]

ye

[hasty tree]

cuz the graph just never goes up from that point

[plush egret]

which is probably not how you want to write the answer

but you got the concept exactly

[hasty tree]

yuip

[plush egret]

so hard part done

[hasty tree]

now I'm just havingtrouble on how to like write it properly

haha

[plush egret]

just look up interval notation

[hasty tree]

what do I want to call "the lines at the end" is

oh that

I looked it up

ty for the video btw

[plush egret]

wait you have another room

[hasty tree]

so should I just write (- infinity, infinity)

oh I tried getting anotherone haha but rip

I noticed on the notation

it just lists like the obvious changes and removes the greater than and less than

[plush egret]

it keeps them

in the brackets

[hasty tree]

yeah

so uh how would like write this as a proper answer

will it be like "the domain of this equation is XER = {negative infinity < x < infinity}"?

[plush egret]

no

[hasty tree]

oh

[plush egret]

usually these answers are just find the numbers, find the brackets

like for example

f(x) = x^2

Domain: $(-\infty, \infty)$

[glossy valve]

jan Niku

[balmy peak]

[] if its inclusive and () if it isnt

[plush egret]

Range: $[0, \infty)$

[glossy valve]

jan Niku

[balmy peak]

and then U to join thats basically all u need to know

[plush egret]

yea

its a pretty small topic

[hasty tree]

ohh

I see

sorry wasn;t really pying attention from gr 10 to 11 functions cuz of the pandemix

but yeah

I see it now

dam

can't believe I was struggling on this haha

ty guys

[plush egret]

should i close

or u can

[hasty tree]

yeah thanks

[plush egret]

i honestly didnt know i could do that

okay

[hasty tree]

I cant I thnk

[plush egret]

you can

[hasty tree]

,close

[plush egret]

ju st type .close

[hasty tree]

.close

[full forum]

Channel closed

Closed by @hasty tree

Use .reopen if this was a mistake.

[hasty tree]

oh what

[plush egret]

https://tenor.com/view/door-hide-close-bye-cat-gif-22820275

[hasty tree]

hahaha alright

gn and thank you once again

[full forum]

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.

[dire laurel]

I need to find an equation that has the x-ints 8 and 12, and a y int 50. I've gotten my factored form of x-8 and x-12 but am unsure of how to plug 50 in. I know the answer is y=(25/48)(x-8)(x-12) but have no clue where i should be getting 25/48 from

[balmy peak]

what does int mean

in this context

[dire laurel]

intercept

[balmy peak]

oh

[balmy peak]

id just expand (x-8)(x-12)

and multiply the equation by some value to make the y intercept 50

so (x-8)(x-12) turns into something + 96

to get 96 to 50 you multiply by (50/96)

so

y=(50/96)(x-8)(x-12)

and thats ur answer

oh reduce the fraction i guess

[dire laurel]

u right, 25/48 is just 50/96

and ur gettin 96 from multiplying -8 and -12, i getcha

ty

.close

[full forum]

Channel closed

Closed by @dire laurel

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.

[cold pebble]

hi can somebody explain what these symbols mean

[safe trench]

,rccw

[full forum]

@cold pebble Has your question been resolved?

[cold pebble]

im confused what each of the symbols mean

.close

[full forum]

Channel closed

Closed by @cold pebble

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.

[pulsar token]

I have a really simple math problem that I can't remmeber how to do

[pulsar token]

log8(sqrt2/2)

so now you get 8^x = sqrt2 / 2

[onyx glen]

indeed you do

[pulsar token]

then I forget what I'm supposed to do

[onyx glen]

well, continuing with this, you could write sqrt(2)/2 as 2^(-1/2)

[pulsar token]

wait how

sqrt 2 is just 2 ^ 1/2

[onyx glen]

sqrt(2)/2 = 1/sqrt(2) = 1/2^(1/2)

[pulsar token]

ok then

would 8^x

be the same as

2^3x

?

so would it be

2^3x = 1/sqrt(2)

but would you want to keep sqrt(2)/ 2 as a base of 2

so you can use same base

@onyx glen where did you go

[onyx glen]

i am still here

would 8^x
be the same as
2^3x
?
yes, and in fact i was going to suggest that. but you came up with that on your own

you now have 2^(3x) = 2^(-1/2)

[pulsar token]

oh

ok then'

its just

3x = -1/2

x = -1/6

thanks

.close

[full forum]

Channel closed

Closed by @pulsar token

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.

[tardy verge]

I would first find the coordinates of the minimum value and then sub the coordinates into the function and find k.

yes

now find the x coordinate of the turning point

Now sub the coordinates into the function and find k

[nocturne creek]

you could find the range of 2x^2-3x, and then see what its min value is, then the translation u do to make ur min value reach 7/8 should be ur k

[tardy verge]

What are you doing

you’re substituting the coordinates wrong

your equation should be

7/8 = 2(3/4)^2 - 3(3/4) + k

just use the function, swap out the variables

and find k

[full forum]

Channel closed

Closed by @wary merlin

Use .reopen if this was a mistake.

[full forum]

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.

[fervent meteor]

Possible to find the answer without all of that calculation? (I actually calculated it and got the wrong answer...)

[fervent meteor]

Calculations ^

[safe trench]

,rccw

[full forum]

@fervent meteor Has your question been resolved?

[fervent meteor]

<@&286206848099549185>

[fervent meteor]

@brittle steeple sorry for disturbing u but pls help

[brittle steeple]

what was the answer

234?

,w adjoint matrix

[glossy valve]

Results provided by WolframAlpha

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

Requested by monikanicity#0205

[brittle steeple]

,w adjunct matrix

[glossy valve]

Results provided by WolframAlpha

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

Requested by monikanicity#0205

[fervent meteor]

Its 24

[brittle steeple]

Do you know anything about eigenvalues of an adjunct matrix

They're not the same or something, are they?

well eigenvectors would need to be the same too so ig it doesn't matter

idk a better way but there might be one

[fervent meteor]

By adjunct u mean adjoint?

[brittle steeple]

idk what adj is honestly lol

Ig so

,w adjoint matrix

[glossy valve]

Results provided by WolframAlpha

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

Requested by monikanicity#0205

[brittle steeple]

Conjugate transponder?

transpose

lol

[fervent meteor]

Adjoint meant u take a matrix u find its cofactor then transpose

[brittle steeple]

,w conjugate matrix

[glossy valve]

Results provided by WolframAlpha

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

Requested by monikanicity#0205

[fervent meteor]

Bro reading linear algebra on the go

[brittle steeple]

that seems like what adjunct is sans transpose

idk probably someone who knows linear algebra should help lol

[fervent meteor]

Hmm ok no prob

@onyx glen pls help

[onyx glen]

why me specifically

[fervent meteor]

I couldn't find anyone else

Looking at other help chats

<@&286206848099549185>

[full forum]

@fervent meteor Has your question been resolved?

[full forum]

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.

[mossy sigil]

If I want to say that $f(x,x') \approx f'(x)$ when $x \approx x'$ , is it obvious or should I proof it?

[glossy valve]

BeatriceBernardo

[full forum]

@mossy sigil Has your question been resolved?

[mossy sigil]

<@&286206848099549185>

[worthy ginkgo]

It's not clear. What is f? A function of one or two variables?

[mossy sigil]

f(x,x') is a function of two variable.
I'm trying to say that, if x and x' are very similar
it is practically a function of 1 variable

[worthy ginkgo]

Is it continuous? Symmetrical?

What are its properties ?

[mossy sigil]

continous I guess?

don't think symmetrical

[full forum]

@mossy sigil Has your question been resolved?

[full forum]

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.

[dim elm]

I need to write an exponential function f(x)=a^x where f(-(3/2))=8

[dim elm]

the answer is f(x)=(1/4)^x

nvm

.close

[full forum]

Channel closed

Closed by @dim elm

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.

[restive hawk]

could anyone look over my steps and tell me if i did anything wrong?

[hallow cedar]

you did it correct you just didn't enter it in the form they want

[restive hawk]

ok

i was thinking i may have went wrong at dr/dt

but it should be half dD/dt?

because they are relative

[restive hawk]

i just simplfied everything and got it right

ty

[hallow cedar]

👍

[full forum]

@restive hawk Has your question been resolved?

Channel closed

Closed by @restive hawk

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.

[full forum]

@pulsar grail Has your question been resolved?

[full forum]

@pulsar grail Has your question been resolved?

[pulsar grail]

Not yet

[uncut prism]

@pulsar grail Hi, how can I help you?

[pulsar grail]

Yeah please

[pulsar grail]

17

@uncut prism

[uncut prism]

How can I help you?

@pulsar grail What is confusing you in 17?

[pulsar grail]

The second part about triominoes

And the rule of the first part

[uncut prism]

I think trinomies are dominoes with three numbers in it. Domines have two numbers in them. Things like (1,1) (1,2), (blank, 5), etc.
How do you usually reason about this kind of problems?

(i) how many pieces start with a blank?

[full forum]

@pulsar grail Has your question been resolved?

[pulsar grail]

Not yet

[pulsar grail]

It is 7

I slove it with a tree

[full forum]

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.

[vast comet]

any hints

I know we break into both 1-sided implications. but its kind of a ded wall

i think it makes some intuitive sense to me in that if n and a were not coprime then a*x could either be greater than n, in which case their mod would be some mulitple of a

and if ax is less than n, then their mod would just be ax which is come obvs not 1

[full forum]

@vast comet Has your question been resolved?

[full forum]

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.

[placid storm]

when does it move in a negative direction?

[full forum]

@placid storm Has your question been resolved?

[gritty rose]

going in a negative direction means s'(t) < 0

[placid storm]

thank you

.close

[full forum]

Channel closed

Closed by @placid storm

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.

[hard dome]

im doing a past peper

paper, and im up to 1b

but im stuck in a loop where $\eta$ is in terms of $\lambda$ and i defined $\lambda$ in terms of $\eta$

[glossy valve]

ｇａｂｂｌｅｓ．

[full forum]

@hard dome Has your question been resolved?

[hard dome]

<@&286206848099549185>

[full forum]

@hard dome Has your question been resolved?

[full forum]

@hard dome Has your question been resolved?

[full forum]

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.

[wise tartan]

IS this one or zero or am I just stupid

[rocky vale]

What was your reasoning that it should be one?

@wise tartan

[full forum]

@wise tartan Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[wise tartan]

.reopen

[full forum]

✅

[wise tartan]

cuz wouldn't f(9) - f(1) / 9-1 be like 38/8

[rocky vale]

Well

The MVT says that if you have any continuous interval with an average rate of change of 6, then there is at least one value c on that interval with f'(c) = 6

So, can you identify any intervals whose average rate of change is 6?

It doesn't have to be the entire thing from 1 to 9

[wise tartan]

so the f(3)?

f(x) is increasing so that would be only 1 value

[rocky vale]

We're looking for intervals where the average slope is 6

[wise tartan]

oh

so is it one

but not for the reason I had previously said

[rocky vale]

Which one do you see?

I see two intervals with an average rate of change of 6

[3,5] and [5,9]

[wise tartan]

I saw the 3 - 5

i didn't even notice the 5 9

[rocky vale]

So the MVT guarantees one value c in each interval such that f'(c) = 6

[wise tartan]

I only watched a 1 minute video on the MVT and it was yesterday so

yk

ok so any function that is continuous and differentiable has a value f'(c) in it?

[rocky vale]

If $f$ is differentiable on $(a,b)$, and $\frac{f(b)-f(a)}{b-a} = m$, then there is some value $c$ in $(a,b)$ such that $f'(c) = m$

[glossy valve]

tatpoj

[full forum]

@wise tartan Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[full forum]

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.

[severe basin]

Y is the Expected value of X.

[onyx glen]

no, wrong.

[severe basin]

So, Var(Y)=Var(E[X])=0

Is that right?

Wait, lemme do something else

[onyx glen]

Y is not E[X] in the slightest.

[severe basin]

Since, $X_{i}$ follows i.i.d distribution,
$$Var(Y)=Var \left(\sum_{i=1}^{9} i X_{i} \right)=(1^2+2^2+3^2+\dots+9^2) \cdot Var(X)$$

[glossy valve]

QuantumBee

[severe basin]

That will be equal to 285 times Var(X)

[onyx glen]

what is X?

actually, no, hold on.

do you know what i.i.d. stands for? @severe basin

[severe basin]

independent and identical distribution

ok, we're given these to be only independent

[onyx glen]

yes, they are not identically distributed.

nor do you need them to be.

[severe basin]

$Var(Y)=Var(X_{1})+Var(2 X_{2})+\dots+Var(9 X_{9})$
$$=Var(X_{1})+4 Var(X_{2})\dots+81Var(X_{9})$$

[glossy valve]

QuantumBee

[severe basin]

That will add up to be 285/i²

How do I find i?

Ok nvm, I got it

[severe basin]

I don't understand this ^

[onyx glen]

Y is not a constant

[severe basin]

Ok

When the sample proportion is changed, the standard deviation also changes proportionately?

So, the answer should be $\frac{0.45}{0.02}$

[glossy valve]

QuantumBee

[severe basin]

Is that right?

[onyx glen]

no

sample stdev is proportional to 1/sqrt(sample size) if anything

it's sqrt(p(1-p)/n)

[full forum]

@severe basin Has your question been resolved?

Channel closed

Closed by @severe basin

Use .reopen if this was a mistake.

[severe basin]

.reopen

[full forum]

✅

[severe basin]

Do I need to take p as 0.45?

[onyx glen]

yes

[full forum]

@severe basin Has your question been resolved?

[full forum]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[full forum]

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.

[desert lintel]

y=-2x
2+7x+15

[desert lintel]

uh

y=2x^2+7x+15

is this supposed to be a straight line????

[hallow cedar]

no

well what's the context, what do you mean suposed to be

it's not a straight line, it's a parabola

[desert lintel]

i plotted this

and its a straight line

[hallow cedar]

you plotted it wrong then

[desert lintel]

can you do 1 for me then so i see how to do it right

[hallow cedar]

plot a quadratic?

[desert lintel]

yes

[hallow cedar]

sure

[hallow cedar]

in this problem is it -2 or postiive 2, cus you wrote -2 at first

[desert lintel]

-2

mb

[hallow cedar]

ok , a good place to start for any plotting

is to find the y intercept

and x intercept(s)

[desert lintel]

yes

the x are from -4 to 4

[hallow cedar]

you sure abotu that?

[desert lintel]

uh let me double check

Plot a graph on graph paper for a range of x – values from -4 to 4 in unit intervals

[hallow cedar]

oh that's not what I mean by x intercepts

x interepts is where the graph c rosses the x axis

do you know how to find those valuse?

[desert lintel]

you make y = 0 and solve?

[hallow cedar]

yes

[desert lintel]

so you dont plot with the range of x?

[hallow cedar]

huh

wdym

you plot between -4 to 4

but we need to find the x interecpts

[full forum]

@desert lintel Has your question been resolved?

[desert lintel]

i got simpler question

to get x from (-x+2)

is x = -2 or 2

[full forum]

@desert lintel Has your question been resolved?

Channel closed

Closed by @desert lintel

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.

[loud hull]

They're talking about finding the period and phase of a sin function

Why did they change + 2/pi to -(-2/pi)?

[scenic wren]

it better shows the phase

if we have f(x)=x

and we shift it to the right by 5

we subtract 5 from the x

instead of adding

that is why we want a minus

[loud hull]

[3\sin( \pi ( x + \frac{2}{\pi}) ) ]

[glossy valve]

dopediscorduser

[loud hull]

Is this incorrect though?

Or just a different way of writing it

[scenic wren]

it is correct

just different

(-1)(-1)=1

[loud hull]

Right I get that

Okay so it's just to see more easily which direction the shift is happening in?

[scenic wren]

yes

[loud hull]

Alright thanks

[scenic wren]

and we can see the shift easier

[loud hull]

.close

[full forum]

Channel closed

Closed by @loud hull

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.

[strong pawn]

Anyone know a service where you can type in equations easily (like Desmos or Symbolab) and copy a latex formula of that equation?

[signal needle]

TeXit?

[full forum]

@strong pawn Has your question been resolved?

[strong pawn]

where is that?