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Alika [10]
2 years ago
15

What are the different ways to combine the possible areas to find the area of the composite figure? Multiply the area of the rec

tangle by 2. Add the area of the rectangle with the area of the triangle. Multiply the area of the triangle by 2. Divide the area of the rectangle by 2.
Mathematics
2 answers:
Greeley [361]2 years ago
4 0

Answer:

B. Add the area of the rectangle with the area of the triangle.

Step-by-step explanation:

Simple Answer..

nikitadnepr [17]2 years ago
3 0

Answer:

<em>Add the area of the rectangle with the area of the triangle.</em>

Step-by-step explanation: I just took took the test

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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
Find the distance between the points
Tasya [4]

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (6, 4)

d = \sqrt{(6-2)^2+(4-1)^2}

   = \sqrt{4^2+3^2}

   = \sqrt{16+9}

    = \sqrt{25}

    = 5

3 0
3 years ago
Read 2 more answers
The Graf family made two pizzas. They ate 1 and 1/8 pizza before watching a movie, and 1/2 pizza more after the movie. What is a
Lorico [155]
6/8ths are left you have to cross multiply to get the answer
5 0
2 years ago
Read 2 more answers
EXPONENTS:<br> What is the value of 7 cubed?<br> A. 14<br> B. 21<br> C. 49<br> D. 343
quester [9]

Answer:

C

Step-by-step explanation:

7*7=49

6 0
3 years ago
Read 2 more answers
Response will be saved automatically.
Charra [1.4K]

Answer:

443.28

Step-by-step explanation:

Subtract 42.24 from 570.3 three times.

3 0
3 years ago
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