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

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

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

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

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

bahrom7893 Group TitleBest ResponseYou've already chosen the best response.1
and it's you're
 2 years 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......
 2 years 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? \[\implies10xy + 4y~~~~~~~~~~Original~Expression\]\[\implies 2y(5x + 2)~~~~~~~~~Factor~out~the~GCF\]\[\implies 2y(y) ~~~~~~~~~~~~~~~~~~Substitute\]\[\implies 2y^2~~~~~~~~~~~~~~~~~~~~~Multiplication~of~variables\]
 2 years ago

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

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

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

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

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

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

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

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

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
i know its wrong..
 2 years 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?
 2 years ago

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

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

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

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

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

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

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

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

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

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

pokemon23 Group TitleBest ResponseYou've already chosen the best response.0
distributive
 2 years 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...
 2 years ago

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

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

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

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

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

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

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

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