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2 years ago

14

soccer is played on a rectangular field that is ususally 120 yard long and 75 yard long wide. find the perimeter and are the of

the soccer field

1 answer:

lyudmila [28]2 years ago

5 0

Answer:211

Step-by-step explanation:you figure out you height by division and add that 120+75+16 and that’s 211 we learning that in school

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Need help ASAP thank you

Sergeu [11.5K]

Answer:

x = 14

Step-by-step explanation:

First put it into slope intercept form

20 = 2x - 8

Move the variable to the left hand side and change its symbol

-2x + 20 = -8

Move the constant to the right hand side and change its symbol

-2x = -8 - 20

Calculate the difference

-2x = -28

Divide both sides of the equation by -2

x = 14

Solution

X = 14

8 0

2 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

2 years ago

troy is going to spain and needs to convert his dollars to euros. He knows that when he goes, $5.00 is equivalent to about 3.45

astraxan [27]

Answer:

Step-by-step explanation:

3.45/5=0.69

0.69x$125=86.25

0.75x$125=93.75

93.75-86.25=$7.5

Troy would get $7.50 more than he would have if the exchange rate had stayed at .69

7 0

2 years ago

The temperature of a freezer started at 18ºC. After cooling for a few hours, the freezer had a temperature of –12ºC. What is the

kherson [118]

Answer:

30

Step-by-step explanation:

-12 + 30 = 18

3 0

2 years ago

Read 2 more answers

All of the following are examples of composite numbers except which one?

Nataly [62]

<span>All of the following are examples of composite numbers except which one?

2.</span>

5 0

3 years ago