doctor1768
contestada

The function f(x) = −x2 − 4x + 5 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 = 1; the diver hits the water 1 foot away horizontally from the board
x = 1; the diver jumps in the pool at 1 foot per second
x = 5; the diver hits the water 5 feet horizontally from the board
x = 5; the diver jumps in the pool at 5 feet per second

Respuesta :

carlosego

The answer is the first option, which is: [tex] x=1 [/tex] the diver hits the water [tex] 1 foot [/tex] away horizontally from the board.

The explanation for this problem is shown below:

1. You have the following quadratic equation given in the problem above:

[tex] f(x) = -x^{2} -4x + 5
[/tex]

3. To find the zeros, you can factor the quadratic function,as following:

[tex] f(x)=-(x-1)(x+5)=0\\ x=1; x=-5 [/tex]

4. You must take the positive value of [tex] x [/tex], which is the horizontal distance from the board to the surface of the pool hitted by the diver.

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