Among all pairs of numbers with a sum of 75, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.

Which is the equation of a line perpendicular to the line with the equation 3x+4y=8

Write the fraction or mixed number and the decimal shown by the model

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.