Question

Is the point (0,0) part of the solution of y < -x² + 4x + 5?

A) Yes
B) No
C) Cannot be determined

Answer 1

The point (0,0) is not part of the solution of the inequality y < -x² + 4x + 5.

Step-by-step explanation:

To determine if the point (0,0) is part of the solution of the inequality y < -x² + 4x + 5, we can substitute the x and y values into the inequality and check if it holds true.

Let's substitute x = 0 and y = 0 into the inequality:

0 < -(0)² + 4(0) + 5

0 < 5

The inequality is not true when x = 0 and y = 0, as 0 is not less than 5. Therefore, the point (0,0) is not part of the solution.