The theater club sells a total of 101 tickets to its first play. a student ticket costs $1. an adult ticket costs $2.50. total ticket sales are $164. write a system of equations to find how many student tickets are sold.

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 ordered pair is a solution of the equation? 2x+3y=10

Solve the system of equations. x=-2y+1 and x+2y=9. show work