If x varies directly as y and x = 3 when y = 15, then x = when y = 25.

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2

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.

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?