2. At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not
including tax. If the price of the math textbook, M, is $8 more than 3 times the price of the novel, N.

a. Write a system of equations to represent this situation, then solve by substitution.

b. How much does the novel cost? How much does a math book cost?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)