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3 years ago

Brainliest for whoever gets this right!

Mathematics

1 answer:

Inessa [10]3 years ago

5 0

Answer:

The blue area is y is less than or equal to 5

The purple area is y is greater than or equal to x.

The green area is less than or equal to 2.

Step-by-step explanation: The solid lines indicate that y=5, y=x. and x=2 Also the shaded regions would be y<5, y>x and x<2

Sorry my keyboard doesn't have the symbols for <= less than or equal to or greater than or equal to >= so I have to spell them out.

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A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per

dexar [7]

Answer:

The total revenue is $TR=580x-10x^2$ .

The marginal revenue is $MR=580-20x$ .

The fixed cost is $900.

The marginal cost function is $MC=50x+300$ .

Step-by-step explanation:

The Total Revenue ( $TR$ ) received from the sale of $x$ goods at price $p$ is given by

$TR=p\cdot x$

The Marginal Revenue ( $MR$ ) is the derivative of total revenue with respect to demand and is given by

$MR=\frac{d(TR)}{dx}$

From the information given we know that the price they can sell cakes is given by the function $p=580-10x$ , where $x$ is the number of cakes sold per day.

So, the total revenue is

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

And the marginal revenue is

$MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x$

The Fixed Cost ( $FC$ ) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost ( $MC$ ) function is the derivative of the cost function and is given by

$MC=\frac{d(TC)}{dx}$

We know that the total cost function of the company is given by $C=(30+5x)^2$ , which it is equal to

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900$

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

$MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300$

4 0

3 years ago

A trapezoid has bases of lengths 13 cm and 17 cm. The

Vedmedyk [2.9K]

Answer:

135 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(a + b)

where h is the height and a, b the parallel bases

Here h = 9, a = 13 and b = 17 , thus

A = $\frac{1}{2}$ × 9 × (13 + 17)

= 0.5 × 9 × 30

= 135 cm²

3 0

3 years ago

Soire 4(x + 1) + 8 = 24. (I point) оа A 3.75 B -2 C 5 D 3

Olin [163]

Answer:

Step-by-step explanation:

4(x + 1) + 8 = 24

Subtract 8 from each side

4(x + 1) + 8-8 = 24-8

4(x + 1) = 16

Divide by 4

4(x+1)/4 = 16/4

x+1 = 4

Subtract 1

x+1-1 = 4-1

x=3

7 0

3 years ago

(a) Christine received 70 dollars. Write a signed number to represent this change.

allochka39001 [22]

70 or +70
To represent a positive integer

8 0

2 years ago

I’m giving out brainlest to whoever answers this correctly!

borishaifa [10]

Answer:

A. 18.2

Step-by-step explanation:

b^2 + 14^2 = 23^2

b = sqrt(333) = 18.248

5 0

3 years ago