A jeepney service transporting passengers to a certain place charges 20 pesos andcarries 600 passengers per day. If they will increase the fare by 2.00 pesos. They will lose 30 passengers. find the fare that will give the maximum income.

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Evaluate each expression. determine if the final simplified form of the expression is positive or negative -42 (-4)2 42