Write an equation of the line that passes through a pair of points: (negative 5, negative 2), (4, 5)
a.
y = StartFraction 7 Over 9 EndFractionx – StartFraction 17 Over 9 EndFraction
c.
y = StartFraction 7 Over 9 EndFractionx + StartFraction 17 Over 9 EndFraction
b.
y = StartFraction 7 Over 9 EndFractionx – StartFraction 9 Over 17 EndFraction
d.
y = Negative StartFraction 7 Over 9 EndFractionx + StartFraction 17 Over 9 EndFraction

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