1. 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 all Vocab: 1) nonlinear system of equations – a system in which at least one of the equations is nonlinear

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

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

4. Ex 2) y = 3x² - 3x + 1 y = -3x + 4

5. Ex 3) 2x – y = 2 y = x² - 5

6. 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.