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3 years ago

If f(x) = 5x - 3, what is f(x) when x = 9?

Mathematics

2 answers:

vlada-n [284]3 years ago

4 0

Answer: 42.

Step-by-step explanation:

finlep [7]3 years ago

3 0

Answer:

f(9) = 42

Step-by-step explanation:

All you have to do is replace the variable x with 9. So you have:

5(9)-3= 45-3 = 42

Hope this helped and mark as brainliest!

~ Luna

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Express the inequality using interval notation.−4≤x≤0

Aleonysh [2.5K]

Answer:

[-4,0]

Step-by-step explanation:

we use closed bracket to show " it includes" and -4 and 0 are included in the solution set

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3 years ago

Conrad bought 21 stamps from a hobby shop. He gave 3/7 of them to his brother. He put

Phantasy [73]

He put 12 stamps in his collection.

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3 years ago

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

Camp counselors kept track of the number of granola bars they served each day.

marin [14]

Answer:

the median is 43

Step-by-step explanation:

5 0

2 years ago

Q=p(r+s) solve for p

Reil [10]

Q = p(r + s)
Use the distributive property
Q = pr + ps
Q = p x r + p x s
Q = p x p + r x s
Q = p^2 + rs
Subtract rs from both sides
Q - rs = p^2
Square root both sides
sqrt Q - rs = p

3 0

3 years ago

Read 2 more answers