Question

A tennis ball bounces based on this equation y = x2 - x+2. A dog jumps based on this equation y=2x.

When will the dog receive the ball?

Answer 1

Answer: when the equations are equal, that is when x = 1 or x = 2

Explanation:

The dog will receive the ball , when both equations intercept , that is , when both equations are equal. This implies :

`x^(2)` - x + 2 = 2x

`x^(2)` - x - 2x + 2 = 0

x(x-1) - 2 (x - 1 ) = 0

(x - 1 ) ( x - 2 ) =0

Therefore , x = 1 or x = 2