The gas tank on a car holds 16.6 gallons. if the car goes 332 miles on a single tank how many miles per gallon does the car get

a 18 miles
b 20 miles
c 17 miles
d 19 miles

(as with any math question i ask i would also like an explanation of why the answer is what it is//how you get the answer so i am able to do it on my own the next time)

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

the answer is 0.071

good luck! : d