The function g(x) is continuous on the closed interval [8, 10] and differentiable on the open interval (8, 10). The value x = 8.5 satisfies the conditions of the Mean Value Theorem on the interval [8, 10]. What is g(10) given g'(8.5) = -9 and g(8) = 6?
A new trendy restaurant is growing exponentially. After being open for 11 months the restaurant was serving an average of 310 customers a day. By month 15, the restaurant was serving about 456 customers a day. Write an exponential function N(t) that models average number of customers, N. after t months of being open.
A motorboat maintained a constant speed of 11 miles per hour relative to the water in going 10 miles upstream and then returning. The total time for the trip was 5.5 hours. Use this information to find the speed of the current.
Donald graphs the distance he walks over time the graph passed through the points (3, 12) and (4, 16)
. You get an auto loan at 3.5% interest for 5 years; please answer the following. A. You can afford a $250 per month car payment; how expensive a car can you afford? B. You purchase a car for $8000 with a $2000 down payment, what are your monthly payments?
Select the correct answer. What is the domain of f(x) = 2lx - 1l + 3? {xl xs-1} {xlx≥3} {xlx<1} {xl x = all real numbers}