A large dining hall can be filled with tables that sit four people each and tables that fix six people each. Due to time constraints, they can be filled with at most 50 tables. A conference in the hall must have seating for at least 230 people. Let F represent the number of four person tables and let S represent the number of six person tables moved into the dining hall. Write a system of inequalities that models the scenario described above. ​

Which fraction below is equivalent to 10/12?

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

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.