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OpenStudy (anonymous):
PLEASE HELP!!!!!!! Let f(x) = 5x2 + 5x − 4. Find and simplify the following. f (4/a)
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OpenStudy (anonymous):
\[f(\frac{ 4 }{ a }) = 5(\frac{ 4 }{ a })^{2}+5(\frac{ 4 }{ a })-4\]
OpenStudy (anonymous):
Can you solve it from that?
OpenStudy (anonymous):
no thats where im stuck
OpenStudy (anonymous):
Okay, be sure to square both the 4 and the a in the first term
OpenStudy (anonymous):
so you would end up with 5(16/a^2) +20/a - 4
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OpenStudy (anonymous):
okay then what?
OpenStudy (anonymous):
Then you need to combine into a fraction by multiplying the fractions by the LCD
so you'd have 5 x (16+20a)/(a^2)
OpenStudy (anonymous):
then you still have the -4 to deal with; so in the end you'll have 5 x (16+20a-4a^2)/a^2
OpenStudy (anonymous):
then simplify from there, let me know what you get
OpenStudy (anonymous):
80+100a-20a^2 / a^2
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OpenStudy (anonymous):
are there any terms you can cancel?
OpenStudy (anonymous):
a^2 ?
OpenStudy (anonymous):
so would it be 80+100a-20 ?
OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
yes, one sec
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OpenStudy (anonymous):
ok so the final answer is 100a+60?
OpenStudy (anonymous):
I'd leave it as the fraction: (-4a^2 + 20a +80)/a^2
OpenStudy (anonymous):
ok thanks
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