In the xy-coordinate plane, the graph of the equation y=2x^2 -12x - 32 has zeros at x=d, and x=e, where d is greater than e. the graph has a minimum at (f,-50). what are the values of d, e,and f
answer choices:
a. d=2,e=8,f=-1/8
b. d=8, e=-2, and f=3
c. d=-2, e=8 and f=2
d. d=2, e=8,f=-3

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0