Question #16: Suppose you have a bag containing 30 marbles. If the probability of drawing a black marble is 50%, how many black marbles are
in the bag? *
15
2
20
18

Do,h = (7, 9) (14, 18) the scale factor is

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

If the perimeter of the garden is 37 ft. the width is x and the length is 15 ft. what is the width of the garden in feet?