To rent a certain meeting room, a college charges a reservation fee of $32 and an additional fee of $5.70 per hour. the math club wants to spend less than $54.80 on renting the meeting room. what are the possible amounts of time for which they could rent the meeting room?

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