Algebra
posted by Kimberly .
The fuel efficiency for a certain midsize car is given by
E(v) = −0.017v^ + 1.462v + 3.5 where E(v)is the fuel efficiency in miles per gallon for a car traveling v miles per hour.
(a) What speed will yield the maximum fuel efficiency? Round to the nearest mile per hour. _______mph
(b) What is the maximum fuel efficiency for this car? Round to the nearest mile per gallon. _______mpg

Algebra 
Reiny
You have a typo, there is no exponent on the first term
anyway ...
max when E ' (v) = 0
E ' (v) = .....
then set that equal to zero and solve for v
for b) sub in your v from a) into the original equation 
Algebra 
Patty
This is how the problem reads.

Algebra 
Patty
A = 43mph but I'm not sure how to solve B
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