help-17

[astral pebble]

@regal bane any thoughts?

@split heart dk if you are still here but any advice would be great

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[oblique raven]

T

[oblique raven]

is the domain restriction

X is greater than 4

Pic is loading

[soft walrus]

what happens if $x=4$? :)

[oblique raven]

don’t work

[twin meteor]

MrFancy

[soft walrus]

sorry mean't 4 😅

[oblique raven]

It work at least for the inverse function

anything below 4 don’t work

for h(x)

so do that mean we restrict the domain to x is greater than 4

[ancient light]

whats the whole question?

[oblique raven]

On problem B

this is the inverse function

now I need to write the domain restriction

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@oblique raven Has your question been resolved?

[oblique raven]

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[worn forum]

I did:

cos(21.433 degrees) = 27.9m / h
where h is the hypotenuse / distance he swims

h = 29.973m
t = 29.973m / 0.723 m/s
t = 41.456s

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@worn forum Has your question been resolved?

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@worn forum Has your question been resolved?

[worn forum]

<@&286206848099549185>

[vast shale]

So what seems to be the problem?

[worn forum]

It says "Your answer for the time in the water is incorrect. You may have used the wrong speed in your solution."

But I don't know what other speed to use

[vast shale]

Wait a min lemme see

[worn forum]

Ok

[vast shale]

So tell me how did u approach this qn?

What steps did u take?

Can u send me the pic of ur soln?

[worn forum]

its just this

[vast shale]

This is not how u solve this

But i can't understand how to explain it to u

[worn forum]

is there a formula?

[vast shale]

It'll be pretty big and will take a lot of time but i am in a hurry

[vast shale]

U know relative velocity?

In physics

[worn forum]

yeah we learned it

but i dont really know it

[vast shale]

That's why u couldn't solve this

But bro I'm ojt of time to explain relationship vel

Relative**

[worn forum]

can you just give me the basic equation

and i can fill in the values

[vast shale]

Alright

[worn forum]

thank you

[vast shale]

V river wrt explorer= V river- V explorer

So the speed with which the explorer swims in still water is V river wrt exp while V river u have it in the qn and u can find V exp

The qn is more than just this but this is the necessary first step

Bye bro time out

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[long jackal]

How much maths do I need in physics

[river kettle]

like everything

[formal gazelle]

The amount of math that’s u have in maths

[long jackal]

So ,will majoring in maths and physics at the same time make you a better physicist ?

[river kettle]

probably

[long jackal]

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[tall osprey]

Hi, I'm unsure how to solve this question on limits with the absolute value in numerator

[tall osprey]

number five

[halcyon wing]

,rccw

[tall osprey]

I'm fairly certain there's at least one horizontal asymptote at 1 because of the leading powers

And x can't equal two so i think that's a vertical asymptote too

But i'm not sure if that's all of them

And how would i know

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@tall osprey Has your question been resolved?

[sage wind]

you are looking for vertical and horizontal asymptotes because all of the choices include only vertical and horizontal asymptotes

now if $\lim_{x\to\infty}{f(x)}=a$ and $\lim_{x\to -\infty}{f(x)}=b$ for some $a,b\in\mathbb{R}$ then you have horizontal asymptote at the lines of equations y=a and y=b

[twin meteor]

calculus is fun

[sage wind]

and if $\lim_{x\to a}{f(x)}=\infty$ and $\lim_{x\to b}{f(x)}=-\infty$ then you have vertical asymptotes at the lines of equations x=a and x=b

[twin meteor]

calculus is fun

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[cursive latch]

Even an online calculator confirmed my answer so I'm a bit lost

[cursive latch]

I put, -3x + 7 as my first input

And it was wrong, so I thought I'll wing it and add the y=

Neither worked :/

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@cursive latch Has your question been resolved?

[simple mason]

@cursive latch
You made a mistake while typing
19y/r
You wrote it 3y/r

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[stiff hull]

can someone help me rewrite the expression so that it contains a complete square a^2 + a

[stiff hull]

would be much appreciated

[flat whale]

try it yourself

[stiff hull]

i have already tried it

thats why im here

what i have gotten to is a^2 + a + (1/2)^2 - (1/2)^2

but i have no idea where to go on from here

[outer warren]

you've introduced the component that "competes the square"
the next step is to express your perfect square trinomial as such

[stiff hull]

could you help me with that

[outer warren]

,tex .cts

[twin meteor]

ℝam()n()v

[stiff hull]

im not sure how to do this with my task

[outer warren]

recall why you even decided to do

• (1/2)^2 - (1/2)^2

this is the same as whats being done in that second last line

the last line is applying the property at the very top

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[warped rain]

Can anyone tell me how to integrate specifically with "U-SUBSTITUTION" method:-

[warped rain]

If it's not possible plz explain the other method to do it ." I am new to integration "

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[molten cipher]

So I’m sitting here practicing for a math test that’s in two days, and I’m wondering if my work was right? If not could someone help!

[halcyon wing]

,calc 0.42/0.084

[twin meteor]

Result:

5

[molten cipher]

I need to write it in standard form

Like for example 4 • 10^5

So how do I do that?

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[hexed gorge]

not again mf

i rly wanna know what it is

im gonna look it up

brb

[dull maple]

<@&268886789983436800>

[formal rock]

<@&268886789983436800>

[hexed gorge]

wait what is it

is it bad?

???????????????

[spiral inlet]

it doesn't matter, they're spamming help channels

[hexed gorge]

2 channels

[formal rock]

The help channels are for people to ask help

[hexed gorge]

i want help by telling me what it is

[dull maple]

You very much seem like an accomplice. Don't risk it. Lol

[hexed gorge]

WHAT IS IT

DUDE

[formal rock]

[hexed gorge]

bet

OH MY GOD

BAN HIM

[blissful sentinel]

.close

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[weary abyss]

]

[weary abyss]

have i done this correctly

or no

what im trying to do is transform f0(x) into f(x)

T is moving the function

T[-2,0] for instance is like f(x + 2)

Soy is changing the sign of x

S for symmetry

oy is for y axis

.close

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[loud pivot]

Multiply the roots

[chilly ocean]

and square

youll get ans

[buoyant burrow]

ok thx I got 70

[loud pivot]

Also simplify before squaring 🙂

That's correct

[frosty granite]

xd

[vast shale]

a

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@buoyant burrow Has your question been resolved?

[buoyant burrow]

yes

[vast shale]

Ur welcum frend

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[vast shale]

i am confused about the definition of pairwise disjoint

[hybrid wind]

#❓how-to-get-help

[vast shale]

?

.close

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[tardy grail]

how do i find the domain of this function

[civic otter]

Do you know what vertical asymptotes are? If not, you have to look atwhat values of x the function does not take in input

But with this graph it's pretty impossible to tell the exact value

[tardy grail]

these are the choices @civic otter

[civic otter]

Ahn I didn't see that the blue line was exactly on the grid

So in this case you can answer

First of all, what is the equation of the blue line?

[tardy grail]

i have no idea

[civic otter]

Well, if you have no idea, you can't do the exercise 😅

In general, can you give me the equation of a vertical line?

[tardy grail]

isn’t it just x = c

[civic otter]

Yes, it is

Therefore what is c in your blue line?

[tardy grail]

2?

[civic otter]

It seems 1 actually, look carefully on the graph

[tardy grail]

is this c?

[civic otter]

Of course

[tardy grail]

oh ok

so all real numbers except for 1

is the answer

[civic otter]

Yep

[tardy grail]

thank you understand it now

.close

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[exotic mason]

This could be a really straightforward trig problem if I only had a right triangle to work with. Can you make one out of what you've got?

[vast shale]

That’s all I’ve got

That’s the question

[proper niche]

Is there a way to manipulate it so that you have one though?

[vast shale]

Nope that’s all there is

[proper niche]

Maybe you can make an imaginary triangle somewhere

[exotic mason]

Like, can you maybe cut the isoceles triangle into pieces to make a right triangle?

[vast shale]

.close

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[sinful magnet]

i dont understand where to start

[flat whale]

do you know how to differentiate sin and cos?

and do you know chain rule?

[sinful magnet]

Yes

[flat whale]

so start there

[sinful magnet]

Wait so

[flat whale]

y = sum of sine and cosine

[sinful magnet]

I don’t differentiate A

[flat whale]

y' = sum of derivatives of sine and cosine

y'' = sum of second derivatives of sine and cosine

A and B are numbers

you can treat it like 69 and 420

[sinful magnet]

Alright

So I differentiate the sin and cos and what’s in them

As well

Do I need to factor out

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[modern axle]

Quick question. This seems pretty obvious but I just want to make sure, you have the predicate p->q and q, conclusion p is not a valid argument right? It seems pretty clear in truth tables, but in english it seems so wrong. The statement is phrased like "if micheal solves the problem, he obtains the answer 2. micheal obtains the answer 2. conclusion=micheal solved the problem correctly" to be clear

[halcyon wing]

(p->q)^q <=> p^q

[ebon rapids]

Yes, generally p=>q is not equivalent to q=>p

However, p=>q IS equivalent to ~q=>~p

For example, you can say “If I’m Japanese, then I’m Asian”

But you can’t say “If I’m Asian, then I’m Japanese”

Or else you’ll anger like 3 billion people

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@modern axle Has your question been resolved?

[modern axle]

does this have a name? I see this type of structure keep coming up and i'm asked to give rules of inferences but I'm not really seeing the connection between the ones listed online

[modern axle]

but this doesn't mean my answer is wrong right?

[ebon rapids]

You’re correct in saying if p=>q and q, you can’t validly argue p

[twin meteor]

CST

[ebon rapids]

so the answer is correct, but the solution is widely considered wrong

and the more correct approach would be to use squeeze theorem to prove the limit

Sorry if you don’t know calc, it’s the first one that comes to my head

[modern axle]

is circular reasoning a valid rule of inference to write as an answer in discrete math?

by circular reasoning i mean something like this, (predicate p, conclusion p). this maybe isn't circular reasoning but i don't know what else to call it

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[fallen sandal]

Idk how to explain 2. A

[old root]

Could you try to explain a bit about that given equation?

Can you pick on any features that it has?

[gloomy cedar]

Btw 1b is wrong

[fallen sandal]

WHAT

HOW

[old root]

Didnt even see that

It should have a x^2

[gloomy cedar]

I mean look at your box

you have 3x * 2x

[fallen sandal]

Yuh

[gloomy cedar]

what did you get for that?

[fallen sandal]

6x

[fallen sandal]

Umm it doesn't have parenthesis

[gloomy cedar]

You have two x's

what is x * x ?

[old root]

Lets focus on the question at hand for now, ill come back to that later once you understand why b is wrong

[fallen sandal]

X^2

[gloomy cedar]

So what should 3x * 2x be

[fallen sandal]

6x^2

[gloomy cedar]

Yep

[old root]

Now whats the correct expression

[fallen sandal]

But y does that still happen when it's liek more than just 1x😭

[old root]

I don't understand your question

Are you asking why its x^2

[fallen sandal]

No

Why does it square even if it's bigger than 1x

[old root]

If you multiply x by x in any case

it becomes x^2

3x × 4x = 12x^2

any case where both values have an x, you add to the power

[fallen sandal]

Why

[old root]

Laws of indices

[gloomy cedar]

(3)(x) * (2)(x)

[fallen sandal]

Oki

[old root]

$x^a×x^n=x^{a+n}$

[twin meteor]

Jshy

[old root]

So when you see 2x and 3x

you multiply 2 and 3

Then you add the powers of x

[fallen sandal]

Oh

Anyways

How to explain 2. a

[old root]

Does that make sense though?

[fallen sandal]

Kinda

[old root]

To get quadratics, you need to understand the indice laws

[fallen sandal]

My teacher didn't teach me those😭

[old root]

Well you will be taught those eventually then

For 2, tell me what a standard form even is

[fallen sandal]

Doubt

Omg I hate my teacher

[old root]

Give me a brief descriptoin or just point out what features it has

[fallen sandal]

She was talking Abt how our class was so slow and insulting us fr

[fallen sandal]

Um

Idk

Normal

Base

Idk

[fallen sandal]

Idk

Exponents

[old root]

Ehh kinda?

Exponents is an important factor

What aobut the exponents?

[fallen sandal]

Idk it's used

There's no parenthesis like the factored things fr

[old root]

In what way?

[fallen sandal]

On the variable

[old root]

Right

Do you see anything with the order?

[fallen sandal]

The normal number is first

[old root]

I would be looking at the order of the powers

You see how the highest power is 2?

[fallen sandal]

Yuh

[grim wolf]

hello, i'm in calc 2 and we're doing improper integrals right now. I was really stumped on how to solve the integral from 0 to pi of 1/(sqrt(x) + sin(x)). could anybody help? all i know is that it converges by direct comp to 1/sqrt(x).

[old root]

#❓how-to-get-help

[fallen sandal]

Meow

[old root]

So, with standard forms

You want the power to be going down in decending order

It starts with the highest degree and goes down by 1

[grim wolf]

oh shoot didnt even realize this was an occupied area wtf i thought i was in an available one mb

[old root]

ie x^3, x^2, x^1, x^0

[fallen sandal]

Uhh

So

[old root]

So with your equation, you see it starts with x^2

do you also see the other powers going down in order?

[fallen sandal]

No

[old root]

Are you sure?

[fallen sandal]

There's only 1 power😭

How would I see it going down in order

[old root]

whats

$x^1$

[twin meteor]

Jshy

[old root]

Whats this equal to?

[fallen sandal]

Um

X

[old root]

right

and you see an x there?

[fallen sandal]

Fr

Yuh

[old root]

right

$x^0$

what does this equal to?

[twin meteor]

Jshy

[fallen sandal]

1

[old root]

yup

We can think of 8

as 8x^0

which is what?

[fallen sandal]

Umm

8

[old root]

Yes

So now, you have identified that the expression has x^2, x^1 and x^0

right?

[fallen sandal]

Yuh

Oh

So

It isn't in standard form??

[old root]

It is in standard form

[fallen sandal]

Or um

Oh

Y

[old root]

As I said, standard form is when the powers go down one by one

[fallen sandal]

But that expression is lirk

Liek

The opposite

[old root]

technically the order of the terms dont matter

[fallen sandal]

Oh

[old root]

I can rearrange that question

1+2+3 = 3+2+1

right?

[fallen sandal]

Fr

So lirk

What should I say

[old root]

Soemthing under the lines of

"Yes, the expression is in standard form as the powers decrease in decending order from the highest degree of 2"

Just to test your knowledge, is this equation in standard form?

$2x^3+3x-9$

[twin meteor]

Jshy

[fallen sandal]

Ummmmmmmmmmm yes

Did I get it right

[old root]

No

[fallen sandal]

Oh

[old root]

If we start from 3

[fallen sandal]

😭

[old root]

Count down

3, 2, 1, 0

We see a 3, we see a 1, we see a 0.

[fallen sandal]

OHH

[old root]

However, we are missing something

[fallen sandal]

I just thought it meant depending or acceding in general

[old root]

Decending step by step

you cant skip

[fallen sandal]

So cool

[old root]

All good?

[fallen sandal]

I think

Yes

Also wat does highest degree mean

@old root

[old root]

Degree is basically the power

You could reword that as the "highest power"

[fallen sandal]

Wait I just found something

Do I say like it's in standard form because it's the sun of a multiple of x^2 and a linear expression (8-6x) idk

@old root

Idk

[old root]

Hmm

If thats what you were given, I suppose that also works

Since its a worded explain question, you can say really anything that proves your point

I was just going off what I knew was correct, however your sheet is also correct

[fallen sandal]

Does 6x+8 also work

It look better fr

[old root]

Yeah its up to you

[fallen sandal]

Oki

OK

I did B already

So let's go to 3. @old root fr

Uhh

C or D

It's C right

[old root]

I would recommend you open them all up

Just to be able to see your options clearly

its not necessary but it will help you understand

[fallen sandal]

Umm I don't think they meet the requirements for standard form fr

It's def C

Righttttt

[old root]

No

[fallen sandal]

WHAT

Why

[old root]

Its a -x

[fallen sandal]

So

[old root]

Sorry I am really rusty on my definition of a standard form

let me chefk

[fallen sandal]

Oh is that not a like the sum of a multiple of x^2 idk

😭

[old root]

My definition for standard form is very rusty

but if I was in your situation I would open up all the brackets

have you checked b yet?

arg wait sorry

I missed the question, yes 2 would be in standard form

@fallen sandal

[fallen sandal]

Wat

[fallen sandal]

Wdym

[old root]

c**

[fallen sandal]

YAY

Oki

Let's go to 4

Lemme resend so we don't have to scroll up Fr ignore the old answer

Umm how is it standard

It doesn't have a linear expression w it fr

@old root

@old root

[old root]

Sorry I am pretty occupied right now

maybe wait for a nother helper

[fallen sandal]

Oki

<@&286206848099549185>

[twilit peak]

We say that a polynomial is written in standar form if is expressed as:

[fallen sandal]

So true

[twilit peak]

3·x^2 is in the standard form ( because it is written as 3·x^2 + 0 * x + 0)

[fallen sandal]

Wat

[twilit peak]

My point is that, for a polynomial to be in standard form, it doesn't matter to writte all the remaining zeroes UwU

[fallen sandal]

Idek what a polynomial is

But how do I answer the question fr

[twilit peak]

the usual definition of a polynomial is the standard form! So, if you teacher someday asks you:

• @fallen sandal , what is a polynomial?
• a polynomial is a function of the form:

[fallen sandal]

Idk what that is

[twilit peak]

sabes qué es una función?

[fallen sandal]

Yes

But like

How do I answer the question

How is it in factored form

Can I say it can be said in factored form because

U can turn it into factored form

Ummm

Idk what I'm saying

[twilit peak]

close enough

we say that a polynomial is in factored form when its written as:

(if you expand this product, you will get the standard form)

so, in your case, 3·x^2 is already in the factored form, because is 3·(x-0)·(x-0) = 3·x^2

[fallen sandal]

Why are those little dots there😭

It makes it way harder to read fr

[twilit peak]

So, to be clear, the polynomial f(x)=2·x·(x+10) is in factored form, and if you perform the multiplication, f(x) = 2x^2+20·x is in standard form (is the same polynomial)

[twilit peak]

haha, that's because we don't know how large is the polynomial, it can be as long as you want: x^10000000

[fallen sandal]

What

[twilit peak]

I mean that, the dots indicates arbitrary number of more factors of the form (x-r)

[fallen sandal]

Soooo

What do I say

In number 4

@twilit peak

[twilit peak]

xp

its in standar form because 3*x^2 have the form:

and is also in factored form, because 3*x^2 have the form:

[fallen sandal]

Umm

How do I say that

In a short sentence

[twilit peak]

If you want to see that 3·x^2 is in standard form, you will have to writte the standar form >.<'

and the same for the factored form

i don't think it can be said shorter

[fallen sandal]

In summary, "3x^2" is already in standard form as a single-term quadratic polynomial. However, it can also be expressed in factored form as the product of "3" and "x * x" (or "x^2").

Chatgpt fr

Idk

[twilit peak]

jajaja is shorter

[twilit peak]

ask

[fallen sandal]

What

[twilit peak]

what point are you missing?

[fallen sandal]

I don't understand the images ur sending😭

[twilit peak]

my bad, so you understand what a function is, right?

[fallen sandal]

Yuh

[twilit peak]

and do you know what a polynomial is?

[fallen sandal]

No

[twilit peak]

ok, that's what is missing ^^

a polynomial is a TYPE of function

examples of polynomials: f(x) = 1 , f(x) = x, f(x) = x+1, f(x) = x^2 , f(x) = x^123 + 2*x^5 + x + 10

similar to other functions, when you select a value for x, you receive another value

for example, if f(x) = x^2+10·x+1, and you evaluate this function in x= 0, you get f(0) = 0^2 + 10·0 + 1 = 1

mm, do you follow?

At first, it can sound you to chinese, but as more confortable you get with it, it's pretty natural

[vocal sleet]

@fallen sandal Has your question been resolved?

[fallen sandal]

I return

Srry

[fallen sandal]

NO

She did not teach any of this I don't think I'm supposed to use it

[fallen sandal]

I think I use these explanations

@twilit peak

Hi

[twilit peak]

hii

jsjs es muy tarde

[twilit peak]

nice, in your book, the polynomials are only quadratics (this is, the reach the factor x^2)

[fallen sandal]

Wat

[twilit peak]

ok, lets recap

because this is not about polynomials anymore, is about "quadratric functions"

a quadratric function is any function of the type:
f(x) = a·x^2+b·x+c

where a, b, and c, are some constants, and x is variable

for example, f(x) = 31 x^2 + 2 x + 10

[fallen sandal]

Uhh

So what the answer

[twilit peak]

the answer is: yeah, 3x^2 is in standard form, because its of the type ax^2+bx+c (where a=3, b=0 and c = 0)

and is also in factore form, because is 3x^2= 3·x·x,which is a product of two factores, where each one (x) is a linear expression

[twilit peak]

i don't think you can shorten it more

[fallen sandal]

.

I'm pretty sure I can explain it without saying an equation

[twilit peak]

I don't know how... maybe like: "its obiously in standard form, and if you don't see it, get lost :v"

[fallen sandal]

😭

Ok I said some gibberish

💀

[twilit peak]

yeah, that seems right ^^

[fallen sandal]

OK

.close

[vocal sleet]

Channel closed

Closed by @fallen sandal

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.

[somber magnet]

i dont get it

the perimeter is (10xy+2x)

of a rectangle

and the smaller side is equal to xy cm

but i need to find the area

the surface

[boreal badge]

So what's the value of the larger side?

[somber magnet]

i dont know

it didnt say

[boreal badge]

perimeter of a rectangle is 2A + 2B, where A and B are the lengths of perpendicular sides

[somber magnet]

i need to know the surface

[boreal badge]

To know the area you have to know the lengths of the sides

[somber magnet]

but it doesnt say

and i dont know how to find it

[boreal badge]

You can figure out the length of the other side

you know the perimeter, and the length of one side, so you can find the other

[spiral inlet]

Try drawing a picture. Since you know the length of the shorter side, and you know the perimeter, you have enough information to figure out the length of the longer side

[boreal badge]

2A + 2B = 10xy + 2x

A and B are the side lengths

so you can do A = xy, and solve for B

or you can do L and W for length and width, whatever

[somber magnet]

is it 4xy+x

@boreal badge

[boreal badge]

yes

[somber magnet]

for the smaller side right

[pallid forge]

for the side that isnt xy yes

[boreal badge]

If xy is the larger side then yes

[somber magnet]

ohh okay

so now i do 4xy+x multiplied by xy

[boreal badge]

yes

[somber magnet]

which is 4²y²+x²y

[boreal badge]

yup

[somber magnet]

okay i got it thanks

[boreal badge]

yw

[somber magnet]

.close

[vocal sleet]

Channel closed

Closed by @somber magnet

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.

[opal harness]

Please someone help me I need lots of question of help

I am very very thankful if you do it

I just need answers please anyone

Any of those will help pls

[thin vale]

is this a test?

[opal harness]

Yes

[thin vale]

<@&268886789983436800>

[opal harness]

I rly need help

[thin vale]

we can't help with tests, nor can we give answers

sorry

[opal harness]

Otherwise I'll get ban from my school please

[thin vale]

you're about to get banned from the discord too 😭 sorry

prepare better next time I guess

[opal harness]

Aw

Okay

[vocal sleet]

@opal harness Has your question been resolved?

[vocal sleet]

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.

[sturdy geyser]

How to do these

[royal kestrel]

,rccw

[royal kestrel]

both?

[sturdy geyser]

Yes

[royal kestrel]

okay

$-6x(x+12)-15(x+12)=0$

[sturdy geyser]

9 first

[royal kestrel]

this correct?

[sturdy geyser]

Yes

[royal kestrel]

wait no

[sturdy geyser]

Wait

[twin meteor]

taro

[sturdy geyser]

-6x

[tame raptor]

Is this equations

[royal kestrel]

there we go

okay

are you familiar with factorisation

[sturdy geyser]

Uh no

[sturdy geyser]

Also yes

[royal kestrel]

like if i said x^2 + 3x would you be able to factorise this

[tame raptor]

Whats the problem

Do you know how to solve it?

[sturdy geyser]

Idk what is factories

Dactorise

[royal kestrel]

hmm okay

[sturdy geyser]

Factorise

[royal kestrel]

are you familiar with

distributive property

a(b+c) = ab + ac

[sturdy geyser]

No

But the questions are asking distributive property

[tame raptor]

what

How

[royal kestrel]

itll be a bit hard to explain how to do this

[tame raptor]

you don't need to use that property

[royal kestrel]

without knowledge of factorising and distributive property

[tame raptor]

hmm

[royal kestrel]

because to solve it you need to realise that theres a common factor

that you can factor out

[tame raptor]

replace the (x+12) to a

-6xa-15a=0

[sturdy geyser]

@royal kestrel let me try my own way to solve it, and you check

[tame raptor]

Oh i mean you do

nvm

[royal kestrel]

alr

[sturdy geyser]

-6x (x+12) -15(x+12)
x-12= 0 or x-12=0
x = +12

[tame raptor]

x=-12

x1=-5/2

you are wrong

[sturdy geyser]

Where this come from

[tame raptor]

two solutions bro

x^2

there should be two value for x

[royal kestrel]

dont just give the other answer

[sturdy geyser]

How to do step 2

[tame raptor]

example:
x^2=4
x1=2
x2=-2

[sturdy geyser]

-6x(x+12)-15(x+12)=0
-6x(x+12)-15(x+12)

How to do next step

[tame raptor]

remove the bracket

[sturdy geyser]

What is bracket

[tame raptor]

Use distributive property

[royal kestrel]

no u dont have to

[sturdy geyser]

What is DP

[tame raptor]

We learned that from middle school

or elementry

[royal kestrel]

ngl distributive proprety just makes it harder

to solve

[sturdy geyser]

I’m not American

[tame raptor]

No

[sturdy geyser]

Also I failed my middle school math

[tame raptor]

that is the only way to find the solution

[royal kestrel]

no its not

[tame raptor]

use distributive property

[royal kestrel]

common factor??

[tame raptor]

it is

What common factor

[royal kestrel]

x+12

??

[tame raptor]

there is no common factor for -6x

did you see the x

[royal kestrel]

its -6x(x+12) - 15(x+12)

[tame raptor]

oh nevermind

my bad

[royal kestrel]

theres a common factor between both terms?

[tame raptor]

lol

[sturdy geyser]

Bruh

[royal kestrel]

you might want to learn factorisation first

or at least DP

[tame raptor]

(x+12)(-6x-15)

[royal kestrel]

before you attempt it

[sturdy geyser]

-6x(x+12)-15(x+12)=0
-6x(x+12)-15(x+12)

How to do next step

[tame raptor]

use factorization

You should learn the basic way to solve this equation

[sturdy geyser]

If two () exists and same number inside hen make them as 1 then combine -6x and -15 together as ()

?

[tame raptor]

You should go through Distributive property again

This is really important

In the future you will see quadratic equations

You can't solve it without knowing how to remove brackets

[tame raptor]

ummm

wait

I mean

Removing bracket means multiply

not "REMOVE" the bracket

[royal kestrel]

ye thats

right

thought u dont know how to factorise though?

[sturdy geyser]

Do I use or or and

For answers

[tame raptor]

both of the factors might be 0

[royal kestrel]

i prefer just using a comma ngl

[tame raptor]

its the samething if you use or or and

[royal kestrel]

x = 1, 2

for example

but

ur choice

[sturdy geyser]

-6(-2.5)-15=0?

Oh yeah yes

Is this right

[tame raptor]

Wait

Why are you calculating the fraction

[sturdy geyser]

Huh wdym

[royal kestrel]

ye hes right

leave the fraction in simplest form, dont convert it to a decimal

[tame raptor]

You can use fraction instead of decimal

You can't have calculator on you most of the time

[sturdy geyser]

How to get the fraction in simplest form if I don’t have calculator

[tame raptor]

Don't use decimal as your final answer, Cuz sometimes you might get wrong

you turn the fraction into the lowest term

that is simplest form

decimal=fraction

[sturdy geyser]

I mean how do I get -5/2

[tame raptor]

1=1/1

do you get this

[sturdy geyser]

1 = 1/1

[tame raptor]

I don't know how do you get the answer without knowing what fraction is

-6x=15

you divide -6 from both side

yeah?

-6x/-6=15/-6

and 15/-6=-5/2

[sturdy geyser]

1/-2.5

[tame raptor]

no

denominator cannot be decimal

only integers

or the values you got will be irrational number

you can't right it down in decimal

3.14159262384082837042039840184190283

[sturdy geyser]

How

[tame raptor]

/ this sign means division

[sturdy geyser]

-6x/-6 =1

[tame raptor]

that is literally elementry school mathematic

How can you forget this

[sturdy geyser]

I always forget

And I failed my elementary math as well

[tame raptor]

-6x=15

you see this right

you wanna get the x

[sturdy geyser]

It should be -6x-15

[tame raptor]

so you'll have to remove the negative 6

yeah it is

but i moved the 15 already

don't care about that

important thing is you wanna make sure the x you will get doesn't change

[sturdy geyser]

Wait

Wait

[tame raptor]

ok

[sturdy geyser]

Nvm

Continue

[tame raptor]

Okay

Normally you wanna get rid of the fractor like -6

you will have to divide -6 from each side of the equal sign

which it means

[sturdy geyser]

-6/-6 = 1

[tame raptor]

-6x divided by -6 = 15 devided by -6

what

where do you get that 1

😨

oh

it is

sorry

[sturdy geyser]

-6/-6 = 1
-15/-6 = 2.5

[tame raptor]

noooooooooooooooooooooo

[sturdy geyser]

-2.5

[tame raptor]

noooooooooo

no

stop

Don't convert the equation into decimal

if you can't convert it into integer

that is the rule of mathematic

you should obey the rule

don''t convert it if the final value is not integer

like 1/1

you can do 1/1 2/2

[sturdy geyser]

Holy shit I’m not taking math next year

[tame raptor]

but not 2/4

lol

[sturdy geyser]

Wait

Does divide

Have the rule

Of

[tame raptor]

I mean the rule is made by us

[sturdy geyser]

Negative/ negative = positive

[tame raptor]

yeah

its same as the multiplication

n*n=p

n/n=p

[sturdy geyser]

Wait

Ok

[tame raptor]

Once you got the final answer

[sturdy geyser]

So how do I get -5/2 from -6x-15=0

[tame raptor]

make sure the value of the equation will be integer, if not, don't convert it into decimal

-5/2

[royal kestrel]

remember that multiplication is the inverse of division

[tame raptor]

reduction of a fraction

that is what we learned from elementry school

[sturdy geyser]

I failed

I learned nothing from elementary and middle

[tame raptor]

welp

that is all you need to know in middle school though

you still got time

[sturdy geyser]

I’m in high

[tame raptor]

😨

welp not a big problem

you can get it in just one day

by watching youtube tutorial

[sturdy geyser]

Can’t understand

[tame raptor]

not hard man

[sturdy geyser]

If I confused for 1 part

I get no help

And whole process gone

Can I still get an D for math

[tame raptor]

reduction of a fraction
destributive property
property of equality

[sturdy geyser]

I just need pass

[tame raptor]

this is all you have to know for high school and middle school

[sturdy geyser]

Ok but I still didn’t get about how do I get -5/2 from -6x-15=0

Can you teach

[tame raptor]

Hmm

this is really hard to explain

you can go watch youtube videos

they'll explain it

how "reduction of a fraction" works

[sturdy geyser]

Can you do the steps and type them out

I want to try if I can get it

[tame raptor]

-5/2=-15/6

ok

[sturdy geyser]

Too less

[tame raptor]

why -5/2 = -15/6

cuz -15=3*-5

and 6=2*3

they both got a 3

so you can remove the greatest factor from denominator and numerator

then 3 is gone

you got -5 and a 2

-5/2

thats how it comes

and remember

[sturdy geyser]

Brain dead

[tame raptor]

you remove the greatest factor from denominator and numerator doesn't change the value

which it means

ill show you an example

2/4

2 divided by 4

=0.5

1/2

1 divided by 2

=0.5

they are all the same

you have to know

-15/6=-5/2

they are the same thing

but we need to simplify them into the lowest term

[sturdy geyser]

Give me a question about it

[tame raptor]

so its not complicate for people to see it

[sturdy geyser]

Let me try answer

[tame raptor]

5/10=

[sturdy geyser]

0.5

[tame raptor]

no

noooooooooo

don't convert it

[sturdy geyser]

No way

2/1

1/2

[tame raptor]

no

yes

look

5=5*1

[sturdy geyser]

Wait

[tame raptor]

10=5*2

you see they both got 5

remove it

[sturdy geyser]

Give me the wuestions@like -6x-15=0

[tame raptor]

remove the same factor they got

ok

20x+5=0

what is the value of x

[sturdy geyser]

-4, -8/2

[tame raptor]

no

[sturdy geyser]

No way

[tame raptor]

breh

20x=-5

x=-5/20

[sturdy geyser]

Wtf

[tame raptor]

-5/20=-1/4

[sturdy geyser]

But my answers still work

[tame raptor]

you got it wrong

its -1/4

which is probably arround 0.2

[sturdy geyser]

-8/2 still get samething

[tame raptor]

no

[sturdy geyser]

-8/2 =-4

[tame raptor]

-8/2 is -4

this x is not the power of 2

[sturdy geyser]

20/-4 is -5

[tame raptor]

there is only one solution for x if its not power 2

[sturdy geyser]

-5+5=0

[tame raptor]

no

its -4/20

i mean -5/20

-5=5*-1

20=5*4

remove 5

you get -1 and 4

-1/4

negative 1 devided by 4 is not integer

so no converting

unless its 4/4

[sturdy geyser]

Can’t get

[tame raptor]

you need youtube tutorial

[sturdy geyser]

Ok can we do 11

Question 11

Check the pin

[tame raptor]

I'm sleepy

[sturdy geyser]

One more