Figure abcd is a parallelogram. parallelogram a b c d is shown. the length of a b is 4 y minus 2, the length of b c is 2 x + 2, the length of d c is 2 y + 6, and the length of a d is 3 x minus 1. what is the perimeter of abcd?

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Plot the points (0,6), (3,15.8), and (9.5,0) using the graphing tool, and find the function

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.