The graph shown here displays the distance, in miles, traveled by an airplane in a certain number of hours. based on the graph, which of the following equations indicates the correct variables, and in how many hours does the airplane travel 8,000 miles if it travels at the same speed? a. x = 200y, the airplane travels 8,000 miles in 42 hours b. y = 200x, the airplane travels 8,000 miles in 42 hours c. x = 200y, the airplane travels 8,000 miles in 40 hours d. y = 200x, the airplane travels 8,000 miles in 40 hours

Three coins are flipped. what is the probability that there will be at least two tails?

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.

Which value of y will make the inequality y< -1 false?