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tigry1 [53]
3 years ago
15

Please help xxxxxxxx​

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

X=2

Step-by-step explanation:

that's the answerrrr for b)

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

P=4x+3y

We know the total fencing is 1/2 miles long, thus

\displaystyle 4x+3y=\frac{1}{2}

Solving for x

\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

Differentiating with respect to y

\displaystyle A'=\frac{\frac{1}{2}-6y}{4}

Equate to 0

\displaystyle \frac{\frac{1}{2}-6y}{4}=0

Solving for y

\displaystyle y=\frac{1}{12}

And also

\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

Compute the second derivative

\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

6 0
3 years ago
A 2-pint bottle of water costs $5.80. What is the price per cup?
Bingel [31]

Answer: $2.90/cup

Step-by-step explanation:

1 pint = 2 cups

2 cups = $5.80

--> $5.80/2 = $2.90/cup

4 0
3 years ago
Read 2 more answers
Graph function y=x+1
fiasKO [112]

Answer:

Are u asking to graph a point(s)?

Step-by-step explanation:

Ok I have the answer

3 0
3 years ago
What is 4/15 divided by 2/3?
BaLLatris [955]

Answer: 0.4 or 2/5

Hope it helps!

5 0
3 years ago
Please Help, im stuck
MA_775_DIABLO [31]

Answer:

6^{9}  * 6^{-3}

6 0
2 years ago
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