Which expression is equivalent to 3 + 5(2x + 9)

A number and its absolute value are equal. If you subtract two from the number, the new number and its absolute value are not eq

r-ruslan [8.4K]

A number and its absolute value are not equal when the number is less than zero. Since subtracting 2 makes the number less than zero, we know ...

... the number is a non-negative number less than 2. (0 ≤ n < 2)

5 0

3 years ago

The angle of elevation to the top of the Empire State Building in New York is found to be 11 degrees from the ground at a distan

Svetllana [295]

Draw a picture of a building and a one mile (or 5280 feet) distance to a point from the base of the building.

The angle of elevation is given as 11° and we want the height of the building or x.

tan(11°) = x/5280

5280 tan(11°) = x

1026.3 feet = x

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

3 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

Function g is graphed. Find lim when x approaches 0 (2g(x)). HURRY

Tpy6a [65]

There is a good expensive lot in Minecraft

3 0

3 years ago

I NEED HELP!!!!!!!!!!!!

mart [117]

Answer:

n=7

Step-by-step explanation:

I feel like you need the answer now so i'm not gonna write one.

4 0

3 years ago

Which expression is equivalent to 3 + 5(2x + 9) - 3