PLS HELP FAST BRAINLIEST Which of the following is the equation for the graph shown? graph of horizontal hyperbola on a coordinate plane going through 2 comma 0 and negative 2 comma 0 with points at negative 4 comma 0 and 4 comma 0, lines at x equals 1 and x equals negative 1

y squared over 4 minus x squared over 12 equals 1

y squared over 16 minus x squared over 12 equals 1

x squared over 4 minus y squared over 12 equals 1

x squared over 16 minus y squared over 12 equals 1

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