Which description best describes the solution to the following system of equations?

y = –2x + 8

y = –x + 5

line y = –2x + 8 intersects the origin.
lines y = –2x + 8 and y = –x + 5 intersect the x-axis.
lines y = –2x + 8 and y = –x + 5 intersect the y-axis.
line y = –2x + 8 intersects the line y = –x + 5.

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.