The path of a frog jumping off a lily pad into a beautiful stream to catch a fly for lunch can be modeled by the equation h = -0.5t2 + 3t + 2 where h represents the height of the frog in feet and t represents the amount of time in seconds. What is the maximum height of the frogs jump? Show all of your work or
explain your process to receive full credit.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

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

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)