You are riding a roller coaster when a shoe falls off your foot. The function y=200-16t^2 represents the height y(in feet) if the shoe t seconds after it falls of leg your foot. The shoe lands in the top of a 31 foot tall building. After how many seconds does the shoe hit the building?

In the past, professional baseball was played at the astrodome in houston, texas. the astrodome has a maximum height of 63.4 m. the height of a baseball t seconds after it is hit straight up in the air with a velocity of 45 ft/s is given by h = -9.8t2 + 45t + 1. will a baseball hit straight up with this velocity hit the roof of the astrodome? use the discriminant to explain your answer.

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

Joseph haydn pet store offers wide variety of leashes for dogs. the store purchases one popular type of leash from its manufacturer for $4.38 each. joseph haydn pets marks up leashes at a rate of 238% of cost. what is the retail price of the popular leash?