Which of the following is a valid step in the solution of \root(4)(2x)+\root(4)(x+3)=0? \root(4)(2x))^(2)=(\root(4)(x+3))^( 2)
(\root(4)(2x))^(2)=(-\root(4)(x+3)) ^(2)
(\root(4)(2x))^(4)=(\root(4)(x+3))^ (4)
(\root(4)(2x))^(4)=(-\root(4)(x+3)) ^(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