You purchased concentrated cleaner that must be diluted (watered down) before use. Container A is the cleaner, which is a 30% solution. Container B is pure water. You are mixing together the contents of Container A and Container B to produce 60 gallons of 8% solution. How many gallons from each container are needed to create the 60 gallons of 8% cleaning solution? Write your answers as integers only. Container A: 30% Cleaning Solution =
gallons

Container B: Pure Water =
gallons

You are measuring the dimensions of the floor in your bedroom because you are planning to buy new carpet. which unit of measure is the most appropriate to use in this situation?

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.

When is g(x) = 0 for the function g(x) = 5.23x + 4?