Mike’s Cycling 4) Mike makes the following table of the distances he travels during the first day of the trip.
Note: For every hour he travels he goes the distance of 6.5 miles.

Suppose Mike continues riding at this rate. Write an equation for the distance Mike travels after t hours. Remember d=rt

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9

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)

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x