doctor1768
contestada

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

Respuesta :

First of all, the root is [tex] 5 [/tex], since


[tex] -5^2-5\cdot 5 + 50 = -25-25+50=0 [/tex]


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


So, the answer is D.

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