Given points A(9, 3), B(–3, 6), and C(–7, –3). Which statements describe the vectors that include these points? Check all that apply. -The magnitude of Vector A C is StartRoot 2 EndRoot.
-The magnitude of Vector B C is StartRoot 97 EndRoot.
-The magnitude of Vector A B is 3 StartRoot 17 EndRoot.
-Vector A C = LeftAngleBracket negative 16, negative 6 RightAngleBracket
-Vector B C = LeftAngleBracket 10, 9 RightAngleBracket
-Vector A B = LeftAngleBracket negative 12, 3 RightAngleBracket

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