III. Select the correct answer in column B when the following rational algebraic expressions is simplified. Write the letter only in your notebook Column A Column B x + 5 A. - x-2 SA -1800 1. 900 2 B. 3 5,²+ 10x+5 2.- 3² + 6x+3 3d C. 7b + 1 3. 2+36-10 x² - 4x + 4 -2b4 D 902 4. 21bd-30 ds 5 E. 3 4x² + 6x 5. 6x² +91

The parabola x = y² - 9 opens: a.)up b.)down c.) right d.)left

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.

The number of calories you burn depends on your weight. a 110-pound person burns 163 calories during 30 minutes of tennis. find the number of calories that a 190-pound person would burn during the same activity, assuming they burn calories at the same rate.