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Nostrana [21]
2 years ago
15

Does anyone know the correct equation?

Mathematics
1 answer:
marysya [2.9K]2 years ago
7 0
\bold{ANSWER:}
y = 6x + 4

\bold{EXPLANATIONS:}

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A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
X(x+1)-1=4<br> ---<br> please help stuck on this question
Sloan [31]

Answer:

x=2

Step-by-step explanation:

use distributive property: x^2+2x-1=4

remove the -1 by adding 1 on both sides: x^2+2x=5

use the guadratic fromula:  ax²+bx+c=0

plug in the equation x^2+2x-5=0

a,b and c are the coefficients to plug into the formula

a=1, b=2, c=-1

Finally, you will find that x=2

8 0
2 years ago
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−2x+7y=10 minus 3x+7y=2
viva [34]

Answer:

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3 0
3 years ago
Bro what does this mean
dimulka [17.4K]

Answer:

A

Step-by-step explanation:

hope this helps

8 0
3 years ago
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A bridge is built in the shape of a semielliptical arch. The bridge has a span of 60 feet and a maximum height of 10 feet. Choos
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Is there a way you can send me a picture of what your copying your answer from ?
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