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NemiM [27]
3 years ago
11

The function f(x) = −x2 − 7x + 30 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 = 10; the diver hits the water 10 feet away horizontally from the board
x = 3; the diver hits the water 3 feet away horizontally from the board
x = 10; the diver jumps in the pool at 10 feet per second
x = 3; the diver jumps in the pool at 3 feet per second
Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
7 0
Setting f(x) = 0, we have:
-x2 -7x +30 =0

The roots of this quadratic equation are:
x = 3 and -10

Since the diver is on a diving board, the -10 is somewhere behind him. We use the root x = 3 since this distance is in front of the board.

Therefore, the answer is:
x = 3; the diver hits the water 3 feet away horizontally from the board
Andrej [43]3 years ago
7 0

Answer:

x = 3; the diver hits the water 3 feet away horizontally from the board

Step-by-step explanation:

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