2. Tyler is also in Ms. Smith's algebra class. He wants to win a T-shirt, a backpack, and a sports ball. Write and graph a compound inequality that represents the amount of money Tyler needs
to collect to win the prize of a T-shirt, backpack, and sports ball.

Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).

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

Savannah talked for 6 minutes on the phone. catherine talked for n minutes. catherine talked 3 times as long as savannah. how long did nathan talk?