Luis is making two batches of muffins for a school picnic. one batch of muffins uses 1/4 cup of oats and 1/3 cup of flour. what is the total number of cups of oats and flour needed for two batches? explain how you could use fraction strips to solve the problem.

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.

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.

Which term below correctly completes the following sentence? if a function has a vertical asymptote at a certain x value, then the function is what at that value