PLEASE ANSWER ALL OF THESE QUESTIONS, WORTH 25 POINTS WITH STEPS/EXPLAIN

At the newest animated movie, for every 9 children, there are 4 adults. there are a total of 39 children and adults at the movie.

The step function g(x) is defined as shown.what is the range of g(x)? ***answer choices in picture.

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)