Question

The function f(x) = −x2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent? x = 5; the diver jumps in the pool at 5 feet per second. x = 10; the diver jumps in the pool at 10 feet per second. x = 10; the diver hits the water 10 feet horizontally from the board x = 5; the diver hits the water 5 feet away horizontally from the board

Answer 1

Answer: it’s the last one. Just took the test

Explanation:

Answer 2

Given the function:
f(x)=-x^2-5x+50
the zeros of the function will be obtained by factorizing the expression.
f(x)=-x^2-5x+50
f(x)=-(x^2+5x-50)
f(x)=-(x-5)(x+10)
the zeros are:
x=-10
x=5
hence taking the positive value for distance, we take x=5.
This represents the horizontal distance the diver jumped. Thus the correct answer is:

x = 5; the diver hits the water 5 feet away horizontally from the board