How many three-digit numbers can you make if you are not allowed to use any other digits except 1 and 2? (You may use 1 and 2 in a number more than once or not at all!)

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.

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2

Given: p: 2x = 16 q: 3x – 4= 20 which is the converse of p - q? if 2x + 16, then 3x - 4 20. if 3x –4 +20, then 2x # 16. lf 2x = 16, then 3x - 4 = 20. lf 3x – 4= 20, then 2x = 16. o o