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2 years ago

4x + 3 = -9 slove the equation

Mathematics

1 answer:

masya89 [10]2 years ago

3 0

Answer:

x = -3

Step-by-step explanation:

4x + 3 = -9
=> 4x = -9 - 3
=> 4x = -12
=> x = -3

Conclusion:

Therefore, x = -3

Hoped this helped.

$GeniusUser$

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Find the surface area of a right square pyramid with base edge length 2 feet and height 5 feet.

zhenek [66]

Answer:

24.4 sq. ft.

Step-by-step explanation:

Area of a right square pyramid is:

A = a^2 + 2(a)*square root of ((a^2/4) + b^2)

A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26

A = 4 + 4*5.099

A = 4 + 20.396

A = 24.396 sq ft.

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3 years ago

What is the value of the constant in the equation that relates the height and width of this rectangle?

Aleksandr [31]

Answer:

Option C. $2.5$

Step-by-step explanation:

we know that

In the rectangle of the figure

$\frac{H}{W}=\frac{25}{10}=2.5$

$H(W)=2.5W$

The constant is equal to $2.5$

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3 years ago

2х + 5y = 0 3х – 4у = 23

lawyer [7]

Correct answer:
X = 5
Y = -2

7 0

3 years ago

Read 2 more answers

Joel is getting a dog, a cat, and a hamster. He goes to the pet store and can choose from 8 dogs, 12 cats, and 5 hamsters. How m

melamori03 [73]

It can be 1/8
Or 1/12
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3 years ago

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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