Which of the following equations demonstrates the associative property? A: -5(4+3i)=-20-15i
B: 4+6i=6i+4
C: 7i+0=7i
D: (2+3i)+5=2+(3i+5)

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)