Simplify the rational expression. state any restrictions on the variable. t^2-4t-32/t-8

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

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.

Ade and abc are similar. which best explains why the slope of the line between points a and d is the same as the slope between points a and b?