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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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we know that

in the right triangle ABC

the value of cosine of angle x is equal to

cos(x)=\frac{AC}{AB}

we have

AC=3.4\ cm\\AB=10\ cm

substitute the values

cos(x)=\frac{3.4}{10}=0.34

Find the measure of angle x

x=cos(x)^{-1} =arc\ cos(0.34)=70.12\°

Round to the nearest whole degree

x=70\°

therefore

<u>the answer is</u>

70\°


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So.
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Subtract the following complex numbers: (10-8i)-(13-10i) ??
patriot [66]

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3 years ago
A company tests all new brands of golf balls to ensure that they meet certain specifications. One test conducted is intended to
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Answer:

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