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pokemon23
Group Title
If y = 5x + 2, then find the value of
10xy + 4y in terms of y.
 one year ago
 one year ago
pokemon23 Group Title
If y = 5x + 2, then find the value of 10xy + 4y in terms of y.
 one year ago
 one year ago

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pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
@Hero @Calcmathlete
 one year ago

bahrom7893 Group TitleBest ResponseYou've already chosen the best response.1
wow u didn't type @bah here...
 one year ago

bahrom7893 Group TitleBest ResponseYou've already chosen the best response.1
I'm not smart enough????
 one year ago

bahrom7893 Group TitleBest ResponseYou've already chosen the best response.1
y=5x+2 y2 = 5x x = (1/5)(y2)
 one year ago

bahrom7893 Group TitleBest ResponseYou've already chosen the best response.1
10xy + 4y = 10 (1/5)(y2) y + 4y = 2(y  2)y + 4y = 2y^2  4y + 4y = 2y^2 <Final answer
 one year ago

bahrom7893 Group TitleBest ResponseYou've already chosen the best response.1
and it's you're
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
o_o I'm taking the PSAT... I don't know how to do these types of questions......
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
To clarify on what @bahrom7893 said, I would've done something a bit simpler? \[\implies10xy + 4y~~~~~~~~~~Original~Expression\]\[\implies 2y(5x + 2)~~~~~~~~~Factor~out~the~GCF\]\[\implies 2y(y) ~~~~~~~~~~~~~~~~~~Substitute\]\[\implies 2y^2~~~~~~~~~~~~~~~~~~~~~Multiplication~of~variables\]
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
ok let's do another problem I need to get better.
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Uh ok then... \[y = (3x + 2)^3\]\[\text{Simplify in terms of y: } (9x + 6)^3\]
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Very similar to the one you were doing on that PSAT question.
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
ok I think I got it.
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
so do I multiply to the 3rd power?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Yes, the \(^{'3'}\) implies cubing it or multiplying by itself 3 times.
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
9x*9x*9x?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Not quite...could you show me what you did?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
well you its dw:1349998059319:dw so i multiply the exponent to the 3rd?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
i know its wrong..
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
If you were to actually multiply it out, it would be like doing this: \[(9x + 6)^3 \implies (9x + 6)(9x + 6)(9x + 6)\]which is unnecessary here. Again, like previous times, do you see anything that you can factor out?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
i keep forgetting to factor.....
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
my spectacles are deceiving me
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
ok if we can (9x+6) (9x+6) (9x+6)
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
what's next?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
THat is not a step that we even need to take, but we can solve it using that. It would be a slightly longer process though. Let's work WITHIN the parentheses first. Don't do anything ith the \(^3\) for now.
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
ok will keep it (9x+6)^3
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Now factor what's within the parentheses...
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
3(3x+2)^3
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
The 3 wouldn't go outside of the parentheses because it's still under the \(^3\), so it would become \((3(3x + 2))^3\) Do you see why that is?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
explain those parentheses
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Well, let's take the approach that you had before. \[(9x + 6)^3 \implies (9x + 6)(9x + 6)(9x + 6) \implies 3(3x + 2)3(3x + 2)3(3x + 2)\]\[3 \times 3 \times 3(3x + 2)(3x + 2)(3x + 2) \implies 3^3(3x + 2)^3~~~OR~~~27(3x + 2)^3\]See what I did? You can't take the 3 \(\LARGE{ENTIRELY}\) out of the parentheses unless you take the \(^3\) with it.
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
\[\LARGE{¿Entiendes?}\]
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Can you predict what to do next?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
distributive
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
What? Keep in mind the original question and what y is equal to...
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
then we should substitute
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
\[\huge\color{red}{Y}\color{blue}{E}\color{salmon}{S}\color{green}{!}\]
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
instead of the x make it a y?
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Uh...remember that \(y = (3x + 2)^3...\) You can substitute y in for that value now. Tell me what your final answer would be now.
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
hmm ummm
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
y=27x^3+8
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Umm...no... \[(9x + 6)^3 \implies (3(3x + 2))^3 \implies 3^3(3x + 2)^3 \implies 27(3x + 2)^3 \implies 27y\]
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Do you see why? Do you understand what it means when it says "in terms of y"? Do you see that we're replacing ALL OF \((3x + 2)^3\) with y? That way nothing in that is cubed anymore?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
I still don't get how divided 27(3x+2)^3 to get 27y
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
Where do you see a division symbol? There is no division invloved in this except the beginning factoring portion. \[\large{\text{We just clarified that y}}~\LARGE\text{=}~\large{(3x + 2)^3}\]Just replace \((3x + 2)^3\) with y and that's all that happened.
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
where does (3x+2)^3? disappear?
 one year ago

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
I don't understand the y part...
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
fdiofvejbvnweokgnweoifnerwo That is what we're substituting with y! Remember when we said y = 2 and we plugged it in? Well we could say that 2 = y and we plug y in for the 2. SAME THING HERE. y = (3x + 2)^3 (3x + 2)^3 = y Now you just plug in why for the (3x + 2)^3
 one year ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.3
You still there?
 one year ago
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