Mrs. Chan, the P. E. teacher, is pairing off students to race against each other. Tracy can run 4 yards per second, and Alice can run 7 yards per second. Mrs. Chan decides to give Tracy a head start of 12 yards since she runs more slowly. Once the students start running, Alice will quickly catch up to Tracy. How far will Alice have to run? How long will that take?

What is the factored form of the following expressions? d^2 – 13d + 36

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)

Complete the steps to find 4.830 ÷ 5