F(x) = x2 + 3; 9(x) = x-2
Find f(g(x)).

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

Question 2 of 102 pointsthe temperature is 45°f. the temperature will decrease by 2°f each hour. leth be the number of hours.when will the temperature be below 32°f? write an inequality for this problem.oa. 45 + 2h 32b. 45 + 2h< 32o c. 45 - 2h< 32od. 45 - 2hs 32

Which of these lines passes through the point (1,-1) and has a slope of -3?