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Brums [2.3K]
3 years ago
7

Give the formula for the area of the following shapes. .

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0
Let's go shape by shape!

The area of a rectangle can be calculated as follows:

L * W = area where L = length and W = width

The area of a trapezoid can be calculated as follows:

\frac{( b_{1} +  b_{2})*H}{2} = area
where b1 and b2 = lengths of the base and H = height of the shape

The area of a parallelogram can be calculated as follows:

B * H = area where B = length of the base and H = height of the shape
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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

At x = 50 units,

\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}

b)

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

3 0
3 years ago
HELP URGENT‼️‼️
olchik [2.2K]

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

3 0
2 years ago
Read 2 more answers
The chart below shows the temperatures at noon during a week in January. Which day of the week was the warmest? Day
Igoryamba
Wednesday it’s 5 degrees all the others are lower
7 0
3 years ago
Find the value of x. Then find the measure of each labeled angle.
adell [148]

Answer:

x = 111

Step-by-step explanation:

x + x - 42  = 180     {Lines are parallel. So, they are supplementary}

2x - 42 = 180  

Add 42 to both sides

2x - 42 + 42 = 180 + 42

               2x = 222          {Divide both sides by 2}

                 x = 222/2

x = 111

4 0
3 years ago
Which of the following is the complete list of roots for he polynomial function f(x) = (x^2+6x+8)(x^2+6x+13)
LekaFEV [45]

Answer: the list of roots is {-4, 2, -3+2i, -3-2i}

Use the quadratic formula to get the roots of the two separate terms in brackets:

x^2+6x+8=0 has solutions: -4 and 2

x^2+6x+13=0 has solutions: -3+2i and -3-2i


3 0
3 years ago
Read 2 more answers
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