Middle school students are going on a field trip. Adult volunteers are needed to accompany the students on the field trip. The table shows x adult volunteers will accompany y students.

Match each function with the corresponding function formula when h(x)=5-3x and g(x)=-3+5

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

Which of the following represents the length of a diagonal of this trapezoid?