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Zolol [24]
2 years ago
7

A 30-foot string of lights will be attached to the top of a 24-foot pole for a holiday display. How far from the base of the pol

e should the end of the string of lights be anchored?

Mathematics
1 answer:
Flauer [41]2 years ago
4 0

Answer:

6

Step-by-step explanation:

Isn't it 6 because that the distance between 30 and 24

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Work Shown:

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Free_Kalibri [48]

Negative means less.

Positive means more.

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i.e.

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

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Step-by-step explanation:

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