The tenth-grade teachers at Washington High School are getting ready for the new school year, so they want to decorate the 5 large bulletin boards in the hallway outside their
classrooms. They plan to use 8 yards of border for each bulletin board. If border is sold in 40-
foot rolls, how many rolls will the teachers use?
Write your answer as a whole number, decimal, or simplified fraction. Do not
round.

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

What is 4(x2 – 3x) + 12x2 + x simplified? f 4x2–3x h 16x2–11x g13x2–2x i16x2–12x

X+y ≥20 x≤2y a) (0,22) b) (7,11) c) ( 15,6) d) (10,10) e) (12,5) f) (8,16)