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Veseljchak [2.6K]
4 years ago
13

Suppose you have 52 feet of fencing to enclose a rectangular dog pen. The function A = 26x = x2 where x = width, gives you the a

rea of the dog pen in square feet. what width gives you the maximum area? what is the maximum area? round to the nearest tenth if necessary.
Mathematics
2 answers:
PSYCHO15rus [73]4 years ago
8 0

Answer:

Width = 13 ft

Maximum Area = 169 ft²

Step-by-step explanation:

Given: A rectangular dog pen whose fencing is 52 feet.

Let length be y and width be x

Fencing = 2(l+b)

52 = 2 (x+y)

x + y = 26

y = 26 - x

Area of rectangular pen = Length x width

                                        = y . x

                  A=x(26-x)

                  A=26x-x^2

It is parabolic equation. Maximum/Minimum at vertex.

x=-\dfrac{b}{2a}

where, a=-1, b=26

x=\dfrac{26}{2}=13

Now we put x=13 into A

A=13(26-13)

A=169

Hence, The width is 13 feet and Maximum area is 169 ft²

saul85 [17]4 years ago
6 0

maximum area is a square

the side of the square would be 52/4 = 13 feet

 area = 13*13 = 169 square feet

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There are two ways to find the rational number between any two numbers. I will tell you an easy method to find it.

As we have to find 5 rational numbers between 1 & 2

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Now take the first number and multiply and divide it by 6 i.e.

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Also take the second number and multiply and divide it by 6 i.e.

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Now we have two numbers 6/6 and 12/6 so five rational numbers between them are

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This year, a small business had a total revenue of $89,700. If this is 38% more than their total revenue the previous year, what
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Answer:

The business' total revenue last year was $65,000.

Step-by-step explanation:

So, if you need to find the previous year's total revenue, you would set up an equation like this:

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I think it would work out something like this:

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To check, we would substitute 65,000 into the equation x + 0.38x = 89,700.

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Answer:

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Feed 2 required = 2000 - \dfrac{2000}{3}\\

\Rightarrow \dfrac{4000}{3}\text{ lbs.}

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