At the Souvenir Shop, coffee mug souvenirs cost $18.72 for 3. Which proportion can be used to find the cost of just 1 coffee mug? A. 18.72/3 = x/1 B. 18.72/3 = 1/x C. 18.72/x = 1/3 D. 18.72/1 = x/3

What is the equivalent fraction for the following fraction using 5 as the multiplier? 1/2

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

Factor this polynomial completely. x^2-8x+12