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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?

A x = 5; the diver jumps in the pool at 5 feet per second
Bx = 10; the diver jumps in the pool at 10 feet per second
C x = 10; the diver hits the water 10 feet horizontally from the board
Dx = 5; the diver hits the water 5 feet away horizontally from the board

User Goldengil
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8.3k points

1 Answer

3 votes

First of all, the root is
5, since



-5^2-5\cdot 5 + 50 = -25-25+50=0


Then, since the
x represents the horizontal distance, and
f(x) the height, we can read
f(5)=0 as "the height is zero when the diver is
5 feet away from the board.


So, the answer is D.

User Medihack
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7.6k points