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3 years ago

What is the slope of a line that is perpendicular to the line shown on the graph?

Mathematics

1 answer:

mariarad [96]3 years ago

4 0

We need a picture of the graph

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Find the value of x pls

Basile [38]

Step-by-step explanation:

As we can see it a right angled triangle

so <y =90°

Now

3x + 11° + 25° + 90° = 180°{being sum of angles of triangle}

3x + 126° = 180°

3x = 54°

X = 18°

6 0

2 years ago

Rosa made fortune cookies for her friends. she sliced a sheet of paper into 7 equal strips of paper to use for the fortune cooki

gavmur [86]

She doodle on 5 of the paper strips
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7
7/2 = 3 1/2

4 0

3 years ago

X divided by 2 - x divided by 3 = 4

Tpy6a [65]

X would be 24
24 divided by 2 - 24 divided by 3 = 4

7 0

3 years ago

Which number belongs to the solution set of the equation below? x - 7 = 35

kow [346]

Add 7 to 35 theres your answer aka 42

4 0

3 years ago

Read 2 more answers

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