Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
I am learning Geometry right now. And then I don’t know can I help you or not.
Answer: 6/100
Step-by-step explanation:
a percent is out of 100%, to write 6% as a fraction simply but 6/100
