Why is the product of two rational numbers always rational? select from the drop-down menus to correctly complete the proof. let a/b and c/d represent two rational numbers. this means a, b, c, and d and b and d are not 0. the product of the numbers is ac/bd, where bd is not 0. both ac and bd are and bd is not 0. because ac/bd is the ratio of the product is a rational number. all blanks are either: intergers or irrantional numbers

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?

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.

Nicole is making carrot bread she needs 5 cups of carrots for 2 cups of sugar.what is the ratio of cups of sugar to cups of carrots that nicole will need? write the ration in three different ways