Mathematics
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OpenStudy (anonymous):
If f(x) = 2x2 − 10, find f(5).
i got to 15=2x2 but i cant figure out what to do after
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jimthompson5910 (jim_thompson5910):
f(x) = 2x^2 − 10
f(5) = 2(5)^2 − 10
Did you get this far?
OpenStudy (anonymous):
yes then i added 10 to each side
jimthompson5910 (jim_thompson5910):
why? you only need to do that if you're solving for x
jimthompson5910 (jim_thompson5910):
simply evaluate 2(5)^2 − 10
OpenStudy (anonymous):
oh oops
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jimthompson5910 (jim_thompson5910):
that's ok
jimthompson5910 (jim_thompson5910):
i know, she wanted to add 10 to both sides, but you only do that when solving for x
OpenStudy (anonymous):
how am i going to find x?
jimthompson5910 (jim_thompson5910):
f(5) means find f(x) when x = 5
jimthompson5910 (jim_thompson5910):
you already know what x is in this case
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OpenStudy (anonymous):
so its 5
jimthompson5910 (jim_thompson5910):
f(x) = 2x^2 - 10
so replace EVERY x with 5 to get
f(5) = 2(5)^2 - 10
OpenStudy (anonymous):
then 2 times 5?
jimthompson5910 (jim_thompson5910):
So your job now is to find 2(5)^2 - 10
Hint:
(5)^2 means 5*5
and 2(5)^2 is 2 times 5 squared
jimthompson5910 (jim_thompson5910):
close, but no
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jimthompson5910 (jim_thompson5910):
PEMDAS says you have do exponents before multiplication
OpenStudy (anonymous):
25 then 10?
jimthompson5910 (jim_thompson5910):
f(5) = 2(5)^2 - 10
f(5) = 2(25) - 10
Note: 5^2 = 5*5 = 25
jimthompson5910 (jim_thompson5910):
now multiply 2 and 25 because 2(25) means 2 times 25
OpenStudy (anonymous):
so 50
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jimthompson5910 (jim_thompson5910):
then subtract 10
OpenStudy (anonymous):
40
jimthompson5910 (jim_thompson5910):
perfect
jimthompson5910 (jim_thompson5910):
So here's the complete step by step solution
f(x) = 2x^2 - 10
f(5) = 2(5)^2 - 10
f(5) = 2(25) - 10
f(5) = 50 - 10
f(5) = 40
OpenStudy (anonymous):
thank you
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jimthompson5910 (jim_thompson5910):
you're welcome