Braxton and maggie babysit children for extra money over the summer. braxton's income is determined by f(x) = 9x + 10, where x is the number of hours. maggie's income is g(x) = 6x + 15. if braxton and maggie were to combine their efforts, their income would be h(x) = f(x) + g(x). assume braxton works 5 hours. create the function h(x), and indicate if braxton will make more money working alone or by teaming with maggie.

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)