Which choices correctly describe reflections in the diagram? Check all that apply. On a coordinate plane, triangle A is reflected across the x-axis to form triangle D. Triangle D is reflected across the x-axis to form triangle C. Triangle D is reflected across y = x to form triangle B. The red triangle A is reflected across the x-axis onto triangle B. The red triangle A is reflected across the y-axis onto triangle D. The blue triangle D is reflected across the x-axis onto triangle C. The blue triangle D is reflected across the line y = x onto triangle B. The green triangle C is reflected across the line y = –x onto triangle A.

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