Lesson 8-10 Nonlinear Systems

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Presentation transcript:

Lesson 8-10 Nonlinear Systems Obj: The student will be able to solve systems of equations in two variables in which one equation is linear and the other is quadratic HWK: p 594 3-9 all Vocab: 1) nonlinear system of equations – a system in which at least one of the equations is nonlinear

Solutions of Nonlinear Systems Can solve nonlinear systems by: Graphing Substitution Elimination

Solve each system Ex 1) y = x² - 4x + 5 y = x + 1

Ex 2) y = 3x² - 3x + 1 y = -3x + 4

Ex 3) 2x – y = 2 y = x² - 5

Ex 4) An elevator is rising at a constant rate of 20 feet per second Ex 4) An elevator is rising at a constant rate of 20 feet per second. Its height in feet after t seconds is given by h = 20t. At the instant the elevator is at ground level, a ball is thrown upward with an initial velocity of 80 feet per second from ground level. The height in feet of the ball after t seconds is given by h = -16t² + 80t. Find the time it takes for the ball and the elevator to reach the same height.