The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. Sandi skates along a path that can be modeled by the equation y = 0.08x2 - 1.6x + 13.
David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).
Which system of equations models the paths of the two skaters?
How many real solutions does the system of equations have?
A ball is thrown upward from the top of a 40-foot building. The ball's height above ground can be modeled by h = -16t2 + 20t + 40. At the same time, a second ball is launched upward from the ground with an initial velocity of 50 ft/s, modeled by h = -16t2 + 50t.
At what time will the two balls be at the same height?
A company's revenue R(x) = -x2 + 12x and cost C(x) = 2x + 15. For what values of x does the company break even?
Two cars leave from the same point at the same time. The distance (in miles) of Car A from the starting point is modeled by d = 60t, and the distance of Car B is modeled by d = 5t2 + 10t, where t is time in hours.
After how many hours will Car B have traveled the same distance as Car A?
The path of a firework rocket is modeled by h = -4.9t2 + 30t, and a drone hovers at h = 40 meters. How many times does the rocket reach the height of the drone?
A parabola y = x2 - 4x + 7 and a line y = 2x - 1 are graphed in the same coordinate plane.
Which of the following describes the solution(s) to this system?