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Mathematics 17 Online
OpenStudy (anonymous):

Please Help :) ~

OpenStudy (anonymous):

OpenStudy (anonymous):

whats the question?

OpenStudy (anonymous):

sorry, i dont know how to do that

OpenStudy (anonymous):

ok neither do i lol

OpenStudy (anonymous):

lol. do u know if u can help me with this? Compare and Contrast. Below are two sets of points. Find the slopes between the two points and compare them. Choose the statement that is true about the values of the slopes. Set #1 Set #2 (2, 4) and (1, 1) (4, 6) and (2, 7) The slope of Set #1 is smaller than the slope of Set #2. The slope of Set #1 is larger than the slope of Set #2. The slope of Set #1 is the same as the slope of Set #2. None of the statements above describes slopes of sets shown.

OpenStudy (anonymous):

oh, nope sorry i suck in math

OpenStudy (jdoe0001):

$$ \cfrac{n}{m^a} \implies \cfrac{n}{1} \times \cfrac{1}{m^a} \implies \cfrac{n}{1} \times m^{-a} \implies nm^{-a} $$

OpenStudy (jdoe0001):

so if you just take a peek at \(\large \frac{1}{8} y^2 \) if you multiply them, what would they give you?

OpenStudy (anonymous):

could i turn one eight as a decimal (.125)

OpenStudy (jdoe0001):

I don't think it's what's required in this case, because you're dealing with exponentials

OpenStudy (jdoe0001):

just bear in mind that $$ \cfrac{1}{anything^{\color{red}{exp}}} \implies anything^{\color{red}{-exp}} $$

OpenStudy (anonymous):

cross multiply ?

OpenStudy (jdoe0001):

yes

OpenStudy (anonymous):

\[\frac{ 1 }{ 64 }\]

OpenStudy (jdoe0001):

hmmm

OpenStudy (jdoe0001):

hold on, ahem, I guess we'll stick with 1/8 :/

OpenStudy (anonymous):

ok, sorry lol

OpenStudy (jdoe0001):

you have a common factor, see it?

OpenStudy (anonymous):

y ?

OpenStudy (jdoe0001):

well, \(\large y^2\)

OpenStudy (jdoe0001):

$$ 125x^3y^2-\cfrac{1}{8}y^2\\ y^2\pmatrix{125x^3-\cfrac{1}{8}} $$

OpenStudy (anonymous):

Ah, ok

OpenStudy (jdoe0001):

so, if you keep an eye on 125, 125 = \(5^3\) and if you take a peek at 8, 8 = \(2^3\) and well, 1 is really \(1^3\)

OpenStudy (anonymous):

ok.

OpenStudy (jdoe0001):

$$ 125x^3y^2-\cfrac{1}{8}y^2\\ y^2\pmatrix{125x^3-\cfrac{1}{8}}\\ y^2\pmatrix{(\color{red}{5}x)^3-\pmatrix{\cfrac{\color{red}{1}}{\color{red}{8}}}^3}\\ $$

jhonyy9 (jhonyy9):

what is your opinion from B.) can you check it ?

OpenStudy (anonymous):

Me or jdoe?

jhonyy9 (jhonyy9):

who are the asker

OpenStudy (anonymous):

Im the asker.

OpenStudy (jdoe0001):

so, what you really have is \(\large (a^3 - b^3) \) type of binomial

jhonyy9 (jhonyy9):

ok @jdoe0001 but can you prove it now here with calculi ?

OpenStudy (jdoe0001):

.... ahemm, not sure :/

OpenStudy (anonymous):

@jhonyy9 do you think the answer is B ?

OpenStudy (jdoe0001):

dunno, what do you think? \( (a^3 - b^3) = (a^2-b^2)(a^2+ab+b^2) \)

OpenStudy (anonymous):

I was thinking B.

OpenStudy (jdoe0001):

b) would suggest \(a^2-ab+b^2\)

OpenStudy (anonymous):

:/

OpenStudy (jdoe0001):

which is good for \( (a^3+b^3)\)

OpenStudy (anonymous):

Bleh, no clue :/

jhonyy9 (jhonyy9):

@jdoe0001 can you say me why a^3 + b^3 ? and why not minus ?

OpenStudy (jdoe0001):

well, the original expression factored out with a "-" :)

jhonyy9 (jhonyy9):

ok but there not is factored out - y

OpenStudy (jdoe0001):

\( y^2\pmatrix{(\color{red}{5x})^3-\pmatrix{\cfrac{\color{blue}{1}}{\color{blue}{8}}}^3}\\ (\color{red}{a}^3 - \color{blue}{b}^3) = (\color{red}{a}^2-\color{blue}{b}^2)(\color{red}{a}^2+\color{red}{a}\color{blue}{b}+\color{blue}{b}^2) \) so, expand away, see what you get :)

jhonyy9 (jhonyy9):

not is right check it please

OpenStudy (jdoe0001):

ohh yea, you're right,, my bad

OpenStudy (anonymous):

Soo, it is B ? 0_o

OpenStudy (jdoe0001):

\( y^2\pmatrix{(\color{red}{5x})^3-\pmatrix{\cfrac{\color{blue}{1}}{\color{blue}{8}}}^3}\\ (\color{red}{a}^3 - \color{blue}{b}^3) = (\color{red}{a}^2-\color{blue}{b})(\color{red}{a}+\color{red}{a}\color{blue}{b}+\color{blue}{b}^2) \)

OpenStudy (jdoe0001):

darn, missed one :/

OpenStudy (anonymous):

Its ok. :)

jhonyy9 (jhonyy9):

this is wrong again too

OpenStudy (jdoe0001):

yes one sec

OpenStudy (anonymous):

Ugh, 7 more 4 me yippie -_-

OpenStudy (jdoe0001):

\( y^2\pmatrix{(\color{red}{5x})^3-\pmatrix{\cfrac{\color{blue}{1}}{\color{blue}{8}}}^3}\\ (\color{red}{a}^3 - \color{blue}{b}^3) = (\color{red}{a}-\color{blue}{b})(\color{red}{a}^2+\color{red}{a}\color{blue}{b}+\color{blue}{b}^2) \)

OpenStudy (jdoe0001):

hjeheh

jhonyy9 (jhonyy9):

@jdoe0001 comen please you know the right way but there not is right 1/8

OpenStudy (jdoe0001):

ahemm, ohh ...shoot... well,, I surely am glad you're here to pick up my typos @jhonyy9 heheh I'd have been doing some more correcting later :), thanks

OpenStudy (anonymous):

heheeh

OpenStudy (jdoe0001):

\( y^2\pmatrix{(\color{red}{5x})^3-\pmatrix{\cfrac{\color{blue}{1}}{\color{blue}{2}}}^3}\\ (\color{red}{a}^3 - \color{blue}{b}^3) = (\color{red}{a}-\color{blue}{b})(\color{red}{a}^2+\color{red}{a}\color{blue}{b}+\color{blue}{b}^2) \)

OpenStudy (jdoe0001):

anyhow @PatrickJordon , tis 2 thus 8 = 2^3 :)

OpenStudy (anonymous):

@jdoe0001 okey tnx :)

OpenStudy (jdoe0001):

so, from the expansion of (a^3 - b^3), it produces a 2nd binomial with a + all around, so that rules out a) and b)

OpenStudy (anonymous):

I was bout to ask if that was gonna happen lol xD

OpenStudy (jdoe0001):

a times b, or 5x times 1/2, is not "5x" as c) is suggesting

OpenStudy (anonymous):

Okey!

OpenStudy (jdoe0001):

anyhow there :)

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