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stealth61 [152]
3 years ago
11

When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i

nches, of a spray of water is given by the equation ℎ()=160−162 where is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?
Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

96feet

Step-by-step explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

h(2) = 160-16(2)²

h(2) = 160-16(4)

h(2) = 160-64

h(2) = 96feet

Hence the height will be 96feet if the spray is 2feet away from the sprinklers head

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Mrrafil [7]

Answer:

See below.

Step-by-step explanation:

1)

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This is equivalent to:

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Therefore, our limit is the same as:

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We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

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Similarly, for the second one:

2)

We have:

\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))

Using the same property:

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I hope you find this helpful!

8 0
3 years ago
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Dafna11 [192]

Answer:

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Step-by-step explanation:

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IRINA_888 [86]
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