Yuki collects data on the average number of sunlight hours per month. She determines the regression model y = –2.8sin(0.65x + 120.2) + 12.2 to represent the data, where x = 1 represents January. Based on the regression model, what is the best estimate for the average number of sunlight hours she can expect each day in June?

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.

Simplify the algebraic expression 8y-2(y+4)

The slope of the line whose equation is 2x - 1 = 0 is