help-0

[lunar vigil]

how do i find the derivative of this^

can someone dm me the working out please

[cinder dagger]

We are not meant to do the work for you but to help you figure it out yourself. Unfortuently I am unable to help with this atm.

[stuck jolt]

derivative of which lol

[ancient magnet]

im confused , is 3ab(b-a) equal to -3ab(a-b)
when i calculate it , the asnwer is the same but my online calculator says its not :/

[rare sluice]

can someone dm me and help me with surds (im new to surds btw)

[stuck jolt]

$\frac{d}{dx}\left(\frac{x-1}{\sqrt{1-2x}}\right)=\frac{\frac{d}{dx}\left(x-1\right)\sqrt{1-2x}-\frac{d}{dx}\left(\sqrt{1-2x}\right)\left(x-1\right)}{\left(\sqrt{1-2x}\right)^2}$

[ocean seal]

Captain_Mat01

[coral cosmos]

Hey guys, can anyone help me prove that the Greatest integer function of this equation is in Arithmetic progression

as you can see, for different values of k
The equation results in
Root7 , root13 , root 21, root 31

and the greatest integer function for all these values will be
2,3,4,5 ... so is there any way to prove that this AP will continue to remain in AP for al values of k

[alpine sable]

yes

[alpine sable]

sqrt( k^2 + 3k +3) is continuos now if lowest value of floor(sqrt( k^2 + 3k +3)) is 0 then it'll be in 0, 1, 2, ... ap since its continuos and lowest value of floor(sqrt( k^2 + 3k +3)) is 0 if you calculate it so its in AP

[torpid stone]

anyone has any tips for someone who wants to try to learn more about proofs? i went over small part of real analysis is a part of math in 1. semester but i feel like wanting to understand logic behind proofs

[alpine sable]

Whats 26⁸×818÷368²?

[glass lichen]

use a calculator

[alpine sable]

Thanks

[quick echo]

@shell widget sorry for disturbing/pinging but how do I remove the r in this question?

or I shouldn't remove the r beside the 9?

[glass lichen]

you want to map w to 3w, then see what happens

you're not solving for a

[small cypress]

I need help plz

[glass lichen]

$a_1=r\omega_1^2 \ a_2=r(3\omega_1)^2 =9r\omega_1^2$

[ocean seal]

Mosh

[quick echo]

so how should I remove the rw^2 now?

or should I keep it as is

[glass lichen]

rw^2 is a_1

so you have $a_2=9a_1$

[ocean seal]

Mosh

[glass lichen]

changing w to 3w made a change to 9a

[quick echo]

ah I see thnxx

[vale kayak]

say you have the function $\left(x^2 + y^2\right)^2 = 8xy^2$

[ocean seal]

i laik turtles

[vale kayak]

you want to find the coordinates when the slope = 0

i tried implicit differentiation and ended up with a function of y in terms of x

i don't understand how to continue

[glass lichen]

what did you get..?

[vale kayak]

$y^2 = \frac{x^3}{2-x}$

[ocean seal]

i laik turtles

[glass lichen]

ok... where's the dy/dx

[vale kayak]

well wherever i encountered it i set it = 0

was i not suppose to

[glass lichen]

... get your function dy/dx

and set that to 0

[vale kayak]

its not the same thing?

[glass lichen]

$2(x^2+y^2)(2x+2y\dv{y}{x})=8(y^2+2xy\dv{y}{x}) \ (x^2+y^2)(x+yy')=2y^2+4xyy' \ x^3+x^2yy'+xy^2+y^3y'=2y^2+4xyy'$

[vale kayak]

yes

i solve for dy/dx and then set equal to 0? Shouldn't i get the same thing?

[ocean seal]

Mosh

[glass lichen]

oh yeah you do

solving $2y^2-xy^2-x^3=0$

[ocean seal]

Mosh

[glass lichen]

clearly not

which I think only has the solution (0,0)

[vale kayak]

right

[median mist]

guys

[vale kayak]

sry my wifi went

[median mist]

can sm1 help me confirm something

[glass lichen]

yeah so you only have a horizontal tangent at (0,0)

[median mist]

for b, u gotta isolate the x's in order to find the r

[vale kayak]

are you sure? i tried graphing it and it looks like there is a slope=0 tangent point

other than (0,0)

@glass lichen surely this has two more

[strong carbon]

Occupied?

[alpine sable]

Hii

I have this lesson

That’s

Kind hard

But I need someone to explain it easier

[sleek elbow]

@alpine sable #❓how-to-get-help

[alpine sable]

anyone avaible for a question?

anyyonneeee

[sleek elbow]

#❓how-to-get-help @alpine sable

[alpine sable]

guys

pls

help

pls

help

pls

help

[gentle prism]

How to solve 2√12-√27+√75

[thin kayak]

Can someone please help w this

[ionic jewel]

calculator

[ionic jewel]

make it an inequality

[kindred hull]

^

then u can use logarithms

[thin kayak]

Yeah ok but I need to solve for a whole t value

[ionic jewel]

okay well then do that and round appropriately after

[alpine sable]

any oxford student who can help?

[thin kayak]

What now

[kindred hull]

id take log base 10 of both sides

[thin kayak]

Oh yeah that makes sense lemme try

[ionic jewel]

wait

just take log base 0.88

log 10 requires more log rules just skip em

[kindred hull]

fair enuff

[thin kayak]

Can I solve normally now?

[kindred hull]

ye now just use ur calculator

[thin kayak]

How would I do that tho?

[vale kayak]

question: does this have more than one tangent lines with slope = 0?

[devout sigil]

Split √12 into √4 x √3 and do the same for other square roots

[gentle prism]

Ok

[devout sigil]

So √(ab)=√a x √b

But at most u can only simplify the expression and not solve it

[gentle prism]

Yeah

Ik

[gentle prism]

The question was to simplify anyways

[devout sigil]

Yes but u said solve... anyways it’s good as long as u understand

So u got the answer?

[gentle prism]

My bad

Yeah

[devout sigil]

Nice

[ebon kernel]

guys help

The approximate area of all the land on Earth is 10^8

square miles. The area of the British

Isles is 10^5
square miles. How many times larger is the Earth’s area?

[high lintel]

can someone help me

<@&286206848099549185>

[blissful lodge]

Does someone has this?

And does someone knows the formal derivation pf conditional probability (furthermore that wiki proof)?

[fringe turret]

<@&286206848099549185> : ' )

can you help me on this??

[kindred hull]

Looks like chemistry bro

[fringe turret]

yes

im confused on what to do

[kindred hull]

I think there’s a discord for CHem in #old-network

[fringe turret]

alright

thank you

[stuck jolt]

Why did this turn into a chemistry server

[vagrant frost]

Find expression for AC

AC = AB + BC

How do I work out BC

[golden nymph]

Hexagons are the bestagons

Bc is parallel to OA

Does this help?

[vagrant frost]

• a?

[golden nymph]

Yupppp

[vagrant frost]

AC = b - a

[golden nymph]

Yupppppppp

[vagrant frost]

Thanks my drilla

[golden nymph]

Drilla?

[vagrant frost]

Idk

[golden nymph]

What is that

Hip hop terminology?

That’s literally the first time I heard drilla

[vagrant frost]

It’s a gangsta term I don’t know what it means

[golden nymph]

But yeah thanks

I mean you’re welcome

Lol

[vagrant frost]

Also what would ED and DC be?

Actually nevermind

[golden nymph]

Look for parallels you already know

ED is parallel to AB and DC is parallel to OB

I really loved the hexagon question when I took it

[vagrant frost]

Hexagon is a mad shape

[golden nymph]

It’s regular

It’s the largest-sided polygon that can cover the plane

Which gives it a high area to perimeter ratio

Hexagons are the bestagons

[vagrant frost]

Triangle >

EC = 2b - a

I don’t know where -a comes from

[vagrant frost]

Yo I have another hexagon problem

[golden nymph]

EC is ED+DC

And you already found both @vagrant frost

[vagrant frost]

ED = b

DC = b

What about the - a

[twin island]

could someone show me how to solve this please?
x^(2/3) = 16

[humble yoke]

x^(2/3) is the same as sqrt_3(x^2)

[vagrant frost]

64

[twin island]

how could you show the steps

[unreal ocean]

im not sure about question 1 could someone help? yes i know the layers is wrong and has now been changed

[humble yoke]

to elaborate a little more x^(1/2) is the same as sqrt(x)

x^(1/3) is the same as third sqrt(x)

[unreal ocean]

sorry

im post elsewhere

[twin island]

aah

ok

thanks

[humble yoke]

@twin island

this should be clearer

[golden nymph]

DC is parallel to OB which is OA+AB

[wild olive]

anyone mind explaining how to rewrite a formula

T = 2K√ C/M into m =

[thorn vortex]

What

Can you be more clear

[wild olive]

T = 2K * √C/M into M = ?

[desert moon]

You make M the subject by multiplying both sides by M

Then divide by T so the M is alone on one side

[wild olive]

does it matter if you do it in a different way

should still be correct

[desert moon]

Wait, is that M inside the sqrt bracket?

[wild olive]

ye

[desert moon]

Oh then you need to square both sides to get M to power 1

[vagrant frost]

Ok

[wild olive]

t² = (2k * c/m)

[thorn vortex]

$T = 2K \times \sqrt{\frac{C}{M}}$

[desert moon]

C/m is not squared becauase sqrt (c/m)^2 = c/m

[ocean seal]

Pealover

[thorn vortex]

This is what you meant right

[wild olive]

ye

then solve for m =

[thorn vortex]

Ok so first of all etablish the conditions on M

(numbers inside sqrt can't be negative)

Plus square both side

And isolate M

[wild olive]

t² = 2k * c/m

then divide by 2k ig

t²/2k = c/m

[thorn vortex]

You didn't square 2k

[wild olive]

i have to?

[thorn vortex]

Yes?

Why wouldn't you

[wild olive]

cuz the square thing was from before

i did /2k

[thorn vortex]

That's not a valid reason

You have to square everything nonetheless

[wild olive]

mkk so if i square both sides it means

everything on that side is gonna have to be

square

[thorn vortex]

Yes

[wild olive]

t²/2k² = c/m

m = c/(t²/2²k²)

[thorn vortex]

Sir

[wild olive]

wait lol

[thorn vortex]

You didn't square 2

[prime flax]

does anyone know how to solve this

my teacher forgot to post the answers

idk how you would solve it to make sure the angles are eqaul

but i do know it would be 33 degrees

x = 33

or actually im not sure

[split oriole]

Triangle is isoscale so other angle will be x+5

[prime flax]

?

[woeful cobalt]

I don't know what I'm doing wrong in this question

[prime flax]

ohh

okay

[woeful cobalt]

I believe to find x, you'll have to do 180= (3x+10)+(x+5)+(x+5)

so you'd get 5x+20=180

[prime flax]

that doesn't work. i think im writin the eaution wrong

[prime flax]

i tried it, it doesnt add up to 180

it becomes 200

[woeful cobalt]

you have to find x

you don't add 20 to each side either

[prime flax]

yea i got 36 as x

oh wait

mb it was acc 32

i plugged in the wrong nuber

thanks for helping me

[woeful cobalt]

but then you have to also check whether plugging x in then running the other calculations add up to 180

[prime flax]

yea it adds up

thanks

[woeful cobalt]

of courrse

[keen salmon]

Someone still want me to define this set recursively?

@alpine sable your pattern seems to be correct to me, but how do I define this recursively

[teal stirrup]

Divide the following
12m4 – 9m3 by 3m

[alpine sable]

,rotate

,rotate

[alpine sable]

It definitely would be nice

Thanks in advance:)

[alpine sable]

You could find the linear function

Pretty sure you know how to find it?

Idk what form you'd write it in

Usually the point-intercept form works fine for me

[teal stirrup]

ANSWER ME I NEED HELP I HAVE AN EXAM TOMMOROW IM not prepared

[teal stirrup]

x^2+2x-35 by x + 7

[alpine sable]

Factor the dividend (binomial in the numerator) then cancel the common factors

[alpine sable]

Again

[alpine sable]

same process here

Factor the dividend (quadratic polynomial in the numerator) then cancel the common factors

[gusty moth]

(x+7)(x-5) is the quadratic factorised, dividing x+7 leaves just x-5

[alpine sable]

Whatever is factorisable you'd tend to factorise

[gusty moth]

3m(4m^3-3m^2) divided by 3m leaves just 4m^3 -3m^2

[teal stirrup]

ok

[gusty moth]

same concept as tasmav explained👍

[teal stirrup]

@gusty moth so the answers are in the end?

[teal stirrup]

the answer is x-5?

[alpine sable]

Okay dude if you're gonna wanna pass this exam you'd firstly wanna know how to factorise

[teal stirrup]

its Division of algebraic expression its hard for me :/

im dumb as hell

[gusty moth]

yes, but focus more on understanding the method than the answers or you'll struggle in your exam

[teal stirrup]

alright

thx

[alpine sable]

So you're doing polynomial long division?

[teal stirrup]

yea

[alpine sable]

as well as synthetic division?

[alpine sable]

Oh hi remember me? No i dont

[teal stirrup]

uh no

[alpine sable]

ok well you'd better know those algorithms too

[teal stirrup]

dam it im gonna fail

:(

[gusty moth]

if you want to think about it in simpler terms, try and think about how many times the denominator goes into the numerator

so how many times does 3 go into 9

[teal stirrup]

3

[gusty moth]

or how many times does m go into m^3

[teal stirrup]

3?

[gusty moth]

here its not 3m, its m^3, meaning its m x m x m, so it would be m^2

[alpine sable]

1. You'd need to know your algebraic manipulation
2. You'd need to know how to factorise
3. Might as well throw in some fractional rules (might become handy since you're working with fractions, you're working with algebraic fractions so its a mix n merge)
4. Simplify Simplify Simplify
5. Factorise Factorise Factorise
6. Cancel Cancel Cancel

[teal stirrup]

ah ok

[teal stirrup]

i dunno shit about this tbh

[alpine sable]

Wanna move to a different channel?

[gusty moth]

yeah try and do a bunch of practice questions until you're confident in dividing and factorising unknowns

[teal stirrup]

hey can u help me

come dms

[gusty moth]

sure

[alpine sable]

@alpine sable y'there?

Did you do it?

[magic warren]

is reversing all the signs in an equation something you can do i.e. 2p-q=1 can turn into -2p+q=-1

[alpine sable]

yes

[rare sluice]

Im new to surds and not very good at them

can someone help me with this question

[magic warren]

thanks @alpine sable

[alpine nacelle]

hint: 48 = 4*12 and 12 = 4*3

[rare sluice]

ty

[alpine sable]

Can't remember the best way to explain this but, in general, to simplify a surd, write the radicand as the product of two factors, one of which is the largest perfect square.

[rare sluice]

how does it differ when there are numbers outside of the equation

[alpine sable]

Are u giving an exam?

[rare sluice]

nope just a new topic in maths in year 9 or grade 8

[alpine sable]

and vice versa

[rare sluice]

ty!

[alpine sable]

Oh that looked like some online test question

Ans: 2√3 and 4√5

Take surds as variables like x or y or something

[alpine sable]

well not in all cases

[alpine sable]

standing alone they're equivalent

[rare sluice]

im about to do this awnser?

is it correct

[alpine sable]

8√3

Simplify the √27 then solve

[rare sluice]

thank you so much for the help bro

@alpine sable

I KINDA understand it a bit

but i gotta do another task later

but i get it like 90% right

average

[alpine sable]

I would suggest u read the basics from some elementry books again.

[rare sluice]

it was our first lesson and

maths teacher

confused me

with

it

i asked again

for help from him

and confused again

so i didnt know who to ask

[vapid bronze]

Anyone know how I get the du/dx?

Would it be x^4 + 5 / x^3

[fringe spindle]

4x³

[vapid bronze]

How do I get to that point

Since u is x^4 I get 4x^3 right

[fringe spindle]

differentiate the function u with respect to x

[vapid bronze]

So then would dx just be x^4 + 5

or just x^3

[fringe spindle]

u = x^4 + 5, but the constant just disappears

[vapid bronze]

gotcha

[alpine sable]

hey how could i prove that the sum of the number of vertices in all biconnected components of a graph is O(n)?

[vapid bronze]

So is dx = x^3?

[fringe spindle]

du = 4x³dx

[vapid bronze]

Right so would it be 4x^3 / x^3 or 3x^2

[fringe spindle]

tbh substitution seems like overkill for this question.... because you can clearly the numerator is a constant multiplied by the derivative of the denominator so you can just go straight to ln|x^4 + 5| and then adjust by an appropriate constant

[vapid bronze]

Yeah but sadly I have to go through these steps

Just a little confused as to how I get the dx

Since du is just 4x^3

would dx be 3x^2

[fringe spindle]

oof

right so if you want dx on its own

it equals du/4x³

[vapid bronze]

Wait isn't du = 4x^3

or is dx = 4x^3

[fringe spindle]

which equals du/4(u - 5)^(3/4)

[vapid bronze]

Ah okay

[alpine sable]

if anyone has an idea pls ping me ❤️

[vapid bronze]

my bad bruh I see what I was doing wrong

du/dx IS 4x^3 lmao woops

[fringe spindle]

oh np yeah i was completely brainfucked by these when i first tried solving them oof 😭

[vapid bronze]

for some reason I though du was 4x^3 and I needed to find a dx

[fringe spindle]

oh that's ok no worries

[misty mortar]

How do I evaluate this?

[solemn juniper]

Is that $\int_1^{\infty} e^{-5n} \dd n$

[ocean seal]

Steakanator

[wary stream]

,rotate

[solemn juniper]

Lol

You have been epicly trolled

[wary stream]

Yep

[ocean seal]

VincentBH

[crisp grail]

@misty mortar

[vapid bronze]

Would this be correct?

[wary stream]

Why is there the plus 5 in that step?

[vapid bronze]

oh wait isnt u = x^4 + 5

so would u just be 4x^3

[wary stream]

I think it's doing one step at a time

[crisp grail]

in terms of u

[wary stream]

So you want to integrate 1/u

Then eventually you'll plug in u

[vapid bronze]

so should I just write "u"

or what u =

[crisp grail]

yes just u

and later you will do that in terms of x

[misty mortar]

What rule is this?

[wary stream]

Integral of power rule, sorta power rule

[vapid bronze]

Thanks, it was right. I kept solving for it, getting it wrong

[crisp grail]

just antiderivative

you see that if you derive the right side that you get ur thing under the integral

[tight atlas]

can someone help with inequalities

[alpine sable]

just differentiate u as you would for any function

oh wait the chat is long past that

[alpine sable]

i only saw this picture and then the rest of chat lmao

[mellow frigate]

i first find ACB by 0.5 * 8^2 * 2/7 * pi then i subtract it with the area of the triangle CBA which should be 0.5*64 * sin 2/7pi. i am getting 3.7 something. then i found CB using sine rule (its 6.9) something and used that to calc DBC which is coming around 48 and i subtracted it wih 3.7 to get the area of shaded regiion but its not the right answer

[tight atlas]

lol what

im to dumb to know what that is

[alpine sable]

does anyone know what shape is this?

[tight atlas]

weird trapezoid

[alpine sable]

ooof that ez

lol

[tight atlas]

ik i just suck at it lol

[alpine sable]

why?

what region tho

ok so i use same formula for area ig?

1/2 x ( a+ b) x h

yeh

oh ok ty , but can you explain how didnt get it

[obtuse flint]

Can anyone help me with this

[alpine sable]

what you need exactly

nah

can you explain just i am confused

if u plz

[alpine sable]

theres a property saying y=80/2. Have you learned it yet

[obtuse flint]

Not really

[rare sluice]

how to do division with this question?

[misty mortar]

What did I do wrong here

[alpine sable]

what was the final answer you got sir

xD q rush

[alpine sable]

get a calc

[alpine sable]

is this geo a pretest for a topic or have you been learning about this in class

[alpine sable]

sqrt 49=7

i prefer going to dms sir

[obtuse flint]

We are learning it right now but I didn’t get it in the lesson

[rare sluice]

what should i do this?

or how?

cus i typed 4

in and it didnt work

[alpine sable]

maybe see what $\sqrt{16$} is

[ocean seal]

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

[rare sluice]

bruh

im dumb nvm

[stray pagoda]

Is the null space of a matrix a subspace of the column space?

[velvet merlin]

Please help it’s the recursive rule

I don’t understand it at all

[stray pagoda]

the next term is a function of the previous term in all of these cases. So just substitute each term in to get the next

Also, one question in this channel at a time please

[velvet merlin]

Alright

[velvet merlin]

Do I solve them?

Wait actually

[stray pagoda]

It says write down the first 4 terms

so in the first questio

take its square root

and that's the next term

and so on

[rare sluice]

im so confuesd on this question

please help

[alpine sable]

what grade you in sir

[rare sluice]

8

OMB

OMG

[alpine sable]

you got a calc?

or not allowed

[rare sluice]

yep

[rare sluice]

not allowed

[velvet merlin]

loool still don’t understand

Been on math work for like

3 hours

Now

[rare sluice]

yea true its really late for me and tired

[velvet merlin]

recursive rule btw

True

@rare sluice my bad

[hushed pasture]

@velvet merlin 9th channel

[gleaming mason]

Sorry if i'm doing something wrong by messaging here, but is it okay if i get a bit of help in questions-3?

[rare sluice]

Hey guys can someone dm me and help me with multiplication and division in surds i have covid and have to study from home and i dont know how to do the task that i set due in tommorow so help would be appreciated.

:D

its 8 questions btw

[alpine sable]

can someone explain the difference between quota sampling and opportunity sampling

[native knot]

im going through my textbook are they saying pi and 0 are polynomials??

[glass lichen]

Yeah

Meets the definition

All constant functions are 0 order polynomials

[native knot]

iim so confused how is pi and 0 a polynomial

[glass lichen]

Read the definition of a polynomial

[alpine sable]

can someone explain the difference between quota sampling and opportunity sampling

[neat dome]

mbmb ill go to another one

[noble goblet]

for #51 would i set the derivative to 4?

[alpine nacelle]

you solve f'(x) = 4

[noble goblet]

alr tysm

[velvet merlin]

Need help with number 13

[fair torrent]

Set the function equal to 25 and solve?

[velvet merlin]

I guess so

I really don’t understand the question either

[vague steeple]

HI CAN SOMEONE HELP ME

LIKE WTH

ITS DUE TMR FOR HW IDEK HOW TO DO IT

[velvet merlin]

SAME MINES DUE TMR

[vague steeple]

IM GONNA DIE

SOMEONE

PLEASE

[velvet merlin]

I ONLY NEEX 3 MORE QUESTIONS

[vague steeple]

HELP ME

SAMEE

[velvet merlin]

FR

[vague steeple]

DO U KNOW HOW TO DO THAT

[velvet merlin]

no

[vague steeple]

FAM

[alpine nacelle]

I wonder why we can't get you banned for this kind of behavior

[velvet merlin]

Melo

Yes

Please

Help me

Please I beg

[fair torrent]

The answer is 15 after you subtract 6.25 and divide 1.25.

The question means that the function f(n) is the rule for the sequence. The first term is f(1), the second term is f(2), etc. What they're telling you is that f(something) is 25, so you set the equation equal to that and solving for n

[velvet merlin]

Number 1-

Thanks

[vague steeple]

Uh idk if that for me but sorry if that was bad behaviour but like i really need help on that question

[fair torrent]

12*(1/6) is 2, so do the (5/6)^2 first, then subtract the 5/2 and 2/3, it's just your order of operations

[velvet merlin]

Alright number 14

I’ll try 15

On my own

pls corra

[fair torrent]

I gotta make breakfast mate, try both, they're only two or three steps

[velvet merlin]

Alright

YES

ele

Number 14 pls

My head hurts

Been doing math work since 12pm

Sorry

But I rlly need this

It’s due tmr

And I’m not trying to be behind on assignments

[vague steeple]

oh i see

[low topaz]

infinite monkey theorem

[velvet merlin]

Still no help

Sadly

[vague steeple]

I got 1 over 3

[velvet merlin]

somebody help me please

I beg

[vague steeple]

WAIT IS I CORRECT

IT*

Omds

TYSM

[velvet merlin]

ele7

Help pls

[alpine sable]

can someone explain the difference between quota sampling and opportunity sampling

[velvet merlin]

😔

[alpine sable]

i can help

[alpine sable]

me?

i have no clue what sampling is

sry

oh its part of statistics I think

np

[velvet merlin]

Please

I need help

With number 14

[alpine sable]

, rotate

[alpine sable]

if u can tell me what the ; means i can help maybe

doesnt it just say to substitute 25 in f(n)

is that what the ; means?

i think

[velvet merlin]

Thts the answer ?

25?

[alpine sable]

No

no

[velvet merlin]

oh

[alpine sable]

for Q14 u need to replace the n's with-51

just tell us what the ; means

if it means substitute

leme Google it

A semicolon is used to separate variables from parameters. Quite often, the terms variables and parameters are used interchangeably, but with a semicolon the meaning is that we are defining a function of the parameters that returns a function of the variables.

[velvet merlin]

So uh

Subtract?

[stuck thunder]

hi i need help

what do the slash marks mean

[alpine sable]

No it means its a parameter / set

[velvet merlin]

nice so

[alpine sable]

equality

[velvet merlin]

What I do

[alpine sable]

the sides are equal

[velvet merlin]

He subtracted

[stuck thunder]

ok so dc and ad are the same?

[velvet merlin]

It had the same sign

[alpine sable]

yh

[stuck thunder]

k thx

bye

[alpine sable]

np

[velvet merlin]

fuck it

Ima guess it

Putting the number 69 I give up

[alpine sable]

just try sub in -61

-51

I think that should work

[velvet merlin]

from what

3?

wait

Oh

hold up

Put -61?

51

Idk

[alpine sable]

f(n)=-3(n-1)
f(-51)=-3(-51-1)

[velvet merlin]

Sooo

What’s the answer

[alpine sable]

Well work that out

f(-51) = -3 × - 52
= 156

But thats providing the ; means substitute

If u can try ask ur teacher what it means

[velvet merlin]

I think it does

The guy from earlier

Used it to subtract

[alpine sable]

to subtract?

from what?

[stuck thunder]

what does congruent mean

[alpine sable]

its 15

But congruent means its like the same based on something

Or similar

[stuck thunder]

ok

[alpine sable]

In this case its SSS (side side side)

[stuck thunder]

so same length of line?

[alpine sable]

AB should be 15m

yea

[stuck thunder]

ok

ye its the correct answer

[alpine sable]

No problem

if u need help dm me

as I dont get noti here

[south pivot]

What does it mean by calculate upper and lower height? Is it the angle elevation and depression?

[south lava]

no

yeah no im not the guy your looking for to help you answer your question

no in no help

Its discord tf you expect

https://www.symbolab.com/solver/step-by-step/3x^{2}-2\left(a%2B6\right)x%2Ba^{2}%2B18?or=input

[glass lichen]

no reason to further expand...

cause you have it in standard form.....

[jovial wave]

K

Anyone able to explain how to do this to me it's #9 and 10

[alpine sable]

Can someone help me with this please? (After KorbinBoss is helped)

[south pivot]

First parallel line and perpendicular are key words slope is the same for parallel lines and perpendicular lines have the inverse sign and reciprocal of the slope

Still need help?

[jovial wave]

Uhm yes please

[south pivot]

Know how to find slope?

[jovial wave]

Yh

[south pivot]

Find the slope of the line given

[jovial wave]

But don't u need 2 points for that

[south pivot]

You have two points

A y intercept and an x intercept

[jovial wave]

I mean 2 dots

[south pivot]

Nah you don’t need dots

[jovial wave]

Ok

[south pivot]

With the numbers given on the graph it looks like it’s going by 1

[jovial wave]

So the slope is one?

Idk my brain is just not working

So I'm probably making u question me

[south pivot]

1/2

[digital oasis]

im good at slopes if you need some help

[jovial wave]

Where'd u get 2 from

[digital oasis]

all i know is rise/run

[south pivot]

Y intercept is (0,-3) and x is (6,0)

[jovial wave]

Oh

Yh I see it now

[south pivot]

Parallel lines have same slope, so you now know that 1/2 is the slope for the line you’re trying to find

[jovial wave]

Yh

And perpendicular is the slope flipped and if negative its positive and if it's positive it's negative

[south pivot]

Y=1/2x+b plug in the point given to you

[south pivot]

Good

[jovial wave]

Is b equal to 4?

[south pivot]

Flip sign

[jovial wave]

-4

[south pivot]

Yup

So the parallel line’s equation is y=1/2x-4

[jovial wave]

Ok so how do I find the perpendicular

[south pivot]

So we know the slope now do inverse

[jovial wave]

Y=-2-4?

[south pivot]

x yup

[jovial wave]

K

Ok and how would I find slope on the second one

[south pivot]

Oh I messed up on perpendicular it has to be perpendicular to the given line and what I gave is perpendicular to the new line.

[jovial wave]

Oh

Did we do that on the parallel one to?

[south pivot]

So it’s y=-2x-3

No parallel is right, but the perpendicular one should be y=-2x-3

[jovial wave]

Ok and why is the b different on the 2

Because the parallel is -4 but the perpendicular is -3

[south pivot]

Two lines with different slopes

One line is changing by -2 while the other is only moving by 1/2

[jovial wave]

Oh

Ok

So the slope changes that to then

Also can u teach me how u found the slope again on it because looking back I don't really get it

[south pivot]

Rate of change is delta y / delta x

Delta means change

A triangle

[jovial wave]

But how'd u find those changes

Because I only see the (6, -1)

[south pivot]

The first y - second y

/

First x - second x

[jovial wave]

Where's the second tho :(

Because I see only 1

[south pivot]

Oh I see what you’re asking how did I find the x intercept and y?

[jovial wave]

Yh

[south pivot]

I simply count the lines until I hit directly on the line

So above the point given you can see that the line crosses the x axis at 6

[jovial wave]

Oh

Yh i see now

[south pivot]

That’s the x intercept where it’s (6,0)

Same thing for y

What are the points you used?

[jovial wave]

(-4, -2) and I did that thing u did before

If u want the problem posted again I can post it

[south pivot]

You need two points to find the slope and that’s one point. Since you’re trying to find parallel line, you could use a point on the given line.

Can you find the y Intercept on the given line?

[jovial wave]

I know the x one

But the y is off the grid so

[south pivot]

The y looks like it is but if you look closely it’s on a specific point

[jovial wave]

I extended the line so I could count to it

[jovial wave]

But

U counted up on the past one

Y didn't u do that here

So is it 5/3 or is that not correct

[south pivot]

The line is negative

Two points are (0,5) and (2,2)

The point I marked is (0,5)

[lavish lance]

hi i just got a simple question

[modern gate]

different channel

[lavish lance]

oh shi sorry

[modern gate]

this one's in use

[jovial wave]

So 5/2 or is it different do to the (2, 2)?

[south pivot]

Denominator is right but the numerator isn’t

5-2/0-2

[jovial wave]

5/-2?

Which makes it -5/2?

[south pivot]

5-2 = 3 and 0-2 = -2

[jovial wave]

Oh

[south pivot]

-3/2

[jovial wave]

Shoot

Didn't see that y

Ok

So the 5 is also subtracted by the 2

Didn't know that

[chilly maple]

queston

question*

uh

im having problems

on like

powers of ten decimals

for example

you multiply

[south pivot]

This is how you find slope

[jovial wave]

What is rise sun

[modern gate]

ask a different channel

[south pivot]

Rise is the y which goes up and run is the x that goes sideways

[chilly maple]

10⁴.123 x 4

how would you solve that?

[jovial wave]

Ok

[modern gate]

this ones in use

[chilly maple]

ok

[modern gate]

did you guys figure it out? ^

[elfin fiber]

hi

i need help pls

[south pivot]

Ask away

[elfin fiber]

what is rate?

[south pivot]

Rate of Change?

[queen owl]

slope

[elfin fiber]

rate and ratio?

[buoyant kayak]

you're not being very specific

[elfin fiber]

uhh

maybe look it up

cuz that's what the chapter says rates and ratio

[buoyant kayak]

you can't just ask "what does this chapter title mean"

maybe read the chapter?

that's a start

[elfin fiber]

yeah

but

[alpine sable]

thats for 6th grade right

[elfin fiber]

that's why i'm here cuz i don't understand

[alpine sable]

?

[elfin fiber]

Imao

[buoyant kayak]

so you read the chapter

[elfin fiber]

idk

[alpine sable]

i think i had that last year

i never learnt it

[elfin fiber]

i didn't

[alpine sable]

but ye

[buoyant kayak]

so you didn't read the chapter but you don't understand?

read the chapter

[alpine sable]

i think i should learn kmh thingys

[formal panther]

gradient

[elfin fiber]

HELP

I DON'T UNDERSTAND

lol

[south pivot]

A ratio is a comparison of two numbers and rate is like a ratio, but with two different units. For example, miles per hour

[elfin fiber]

ohh

i see

[native knot]

how do i find a explicit formula for a_n ?

my teacher didnt show it in the video

can you post in a different channel i alr posted here@violet canopy

[alpine sable]

Ratio essentially means this many per this many

E.g. with the ratio 1:3, it means that there are is of something per three of something else

And an example of a rate is 10 miles per hour

[violet canopy]

kk

[elfin fiber]

UHH

MY BRAINN

[alpine sable]

@elfin fiber

Read this

[elfin fiber]

i asked rate right?

[alpine sable]

Say you have 1 red ball for every 3 green balls, then the ratio of red to green is 1:3

For example, your ratio of brain cells to toes is 1:1

[alpine sable]

10 miles per hour is a rate

Say you have a car driving 10 miles per hour

[elfin fiber]

oh

so it's like hours, days, miles

smth like that

[alpine sable]

Its basically how much of something is occuring per something else, and it is generally speed per unit of time

[elfin fiber]

oh ok

ur so smarttt

Lol

[native knot]

@alpine sable could you help with my question if possible?

[elfin fiber]

no

[native knot]

<@&286206848099549185>

im confused how to do this without using python

i tried looking online and found newtons method but from previous calc classes is that not for just approx roots of functions?

[alpine sable]

Let f(x,y) = kx^4y for 0≤x≤1 and 0≤y≤1, and zero everywhere else. What should k be so that f(x,y) is a joint probability density function?

hey all how can is olve this

[median heron]

what does the line surrounded the numbers mean?

[pseudo dust]

absolute value

[median heron]

tyty

[pseudo dust]

<@&286206848099549185> How do i find the other answers?

[alpine sable]

hey all how can i solve this

Suppose f(x,y) = x+y for 0≤x≤1 and 0≤y≤1, and zero everywhere else is the joint probability density function of continuous random variables X and Y. Find the value of P(X<0.2 and Y<0.9)

[spare scroll]

watch this khan academy video you should understand it better https://youtu.be/u6zDpUL5RkU

[pseudo dust]

ok thx

[alpine nacelle]

maybe you can try to show something that would look like a_(n+2) = a_(n+1)+a_n or something like that, so you have a linear recurrence of order 2

[native knot]

i ended up solving it

no worries

[ornate meadow]

If my standard deviation is 9.644 and my standard deviation of the mean is 0.158 then the uncertainty would be 0.158/9.644 right?

[snow lichen]

help?

[scenic ether]

Helllo

Can someone help

I don’t really understand

[nimble mulch]

how do I identify the f(x), f'(x) and f''(x) in this

and what's the general process to identify these kind of graphs

[glass lichen]

one looks cubic, one looks quadratic, one looks linear

in use

clearly

[nimble mulch]

arent they both quadratic tf

oh wait ye the blue one is cubic

[glass lichen]

Blue one starts to turn at the left side

[nimble mulch]

ye

would that make it the main function

[glass lichen]

derivatives of polynomials have their degree reduce by 1

[viscid quiver]

my bad sorry

[nimble mulch]

yep

[glass lichen]

so the smaller the degree, more differentiations have occured

[nimble mulch]

what if the graph represents a not-so-easily-identifiable polynomial

or not a polynomial at all

[glass lichen]

then you'd use geometric argument of what f' and f'' tell about f

ie increasing/decreasing and concavity respectively

[nimble mulch]

ohhh

ye f' would also be 0 where f reaches local extremas

makes sense

thank you

[topaz scaffold]

How would you write for all positive x?

All I know is $\forall x \in$

[ocean seal]

RipeOrange

[glass lichen]

$\forall x\in\mathbb{R}^+$

[topaz scaffold]

Is it R+?

[ocean seal]

Mosh

[topaz scaffold]

Ah cool thanks

[glass lichen]

assuming that's the accepted notation

[elfin fiber]

uh

hi

[small flint]

can someone help me?

[elfin fiber]

is this chanel busy rn, sorry?

[digital raft]

hey, can someone please explain to me why is Z/1Z not an integral ring

[topaz scaffold]

No idea what high school teachers accept ¯_(ツ)_/¯

[glass lichen]

alternatively $\forall x\in\mathbb{R}^+$, the set of positive reals

[ocean seal]

Mosh

[small flint]

i need help finding a formula

[safe bloom]

REAL Help

Pls

<@&286206848099549185>

its live

in need help

[glass lichen]

why is it live..?

[safe bloom]

Its a QUIZZ

Help me

[glass lichen]

is it marked?

[safe bloom]

yes

[glass lichen]

then no

[topaz scaffold]

Read the rules, please

[glass lichen]

we dont breach academic integrity

[safe bloom]

its just a quiz for upcoming test

[glass lichen]

you literally just said it was a marked assessment

[safe bloom]

idk what marked means

IM too dumb

[digital raft]

it seems for me taht it follows the property of integrity

[glass lichen]

is it marked?
yes

[safe bloom]

yes

help

me

i dont wanna fail

[glass lichen]

no, im not pathetic

[safe bloom]

😭

[elfin fiber]

help pls.

[digital raft]

follow the example ?

and read the question if literally explains what to do step by step

[elfin fiber]

nvm i got it

i didn't get the first ques

i mean i didn't know what it's asking for

but i got it now

[fair osprey]

What don’t you get? This is ratios/rates and 5eres an example

[fair osprey]

Pog

[digital raft]

?

[elfin fiber]

yeah ik i thought i had to circle but we have to actually write beside it

[stable current]

how do i find the x intercepts and know the end behaviour of the center asymptote???

[digital raft]

limits

and f(x)=0

[stable current]

im in alg 2 we havent learned limits yet 😦

wait why would u do f(x)=0

[digital raft]

for the x axis intercept

but its impossible to solve therefor the graph doesnt intercept

[elfin fiber]

yayayyayayay

i did ittt

wohoooooo

ez

loll

[stable current]

ohh ok

when would there be an occasion in which there would be an x intercept

[digital raft]

its when the function is null ( if it can be) because the x axis represents y=0

[alpine sable]

how do i solve two step equations?

ex: 5a - 14 = -5 + 8a

[stable current]

tysm

so that would mean when f(x)=0

then essentially if its positive the end behaviour is positive and if it is negative the end behaviour is negative because you cannot have x intercepts

[stable current]

add 5 to both sides and subtract 5a from both sides

then you would have: -9=3a

then divide both sides divide by 3

[alpine sable]

so divide yes

[stable current]

yah

[alpine sable]

-3?

[stable current]

indeed

[alpine sable]

i literally don’t know how to do long division lmao

[digital raft]

if a function is positive at an interval then the image of of that interval by the function is positive( assuming its continue ofc), to know the end behaviour sign you need to know the sign of the function in [a,+oo[

but it doesnt matter to know if its positive or not, at the end you have to calculate to know where the function actually goes

this here you just used limits and their properties

[stable current]

how would i find that

the sign of the function

[digital raft]

by finding the roots of the denominateur or numerateur ( or both )

[fair osprey]

Try google?