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3 years ago

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An electrician charges $75 an hour for labor and an initial fee of $65. The total cost equals 75 times a number of hours plus 65

. Write an equation for the relationship and use the equation to complete the table.

1 answer:

goldenfox [79]3 years ago

5 0

Equation: 75x+65=c
1--> 140
2--> 215
3--> 290
4--> 365

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Answer:

x= 11

Step-by-step explanation:

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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

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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

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Substituting x

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

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Differentiating with respect to y

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Equate to 0

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And also

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

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Answer:

Both proportions are equivalent.

Step-by-step explanation:

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