Which values of c will cause the quadratic equation -- x2 + 3x + c = 0 to have no real number solutions? Check all that

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

PLZ HELP ASAP SIMILARITY

PIT_PIT [208]

LY = 5.2 , TY = 3.9
Δ LTN is a right triangle , ∠T = 90° , TY⊥LN
∴ TY² = LY * YN
∴ 3.9² = 5.2 * YN
∴ YN = 3.9²/5.2 = 2.925

∴ LN = LY + YN = 5.2 + 2.925 = 8.125

Δ LYT is a right triangle , ∠Y = 90°
LT² = LY² + YT² = 5.2² + 3.9² = 42.25
∴ LT = √42.25 = 6.5

Δ NYT is a right triangle , ∠Y = 90°
NT² = NY² + YT² = 2.925² + 3.9² = 23.765
∴ NT = √23.765 = 4.875

The preimeter of the rectangle LINT = 2 * (LT + TN)
                                                          = 2 * ( 6.5 + 4.875 )
                                                          = 2 * 11.375
                                                          = 22.75

7 0

3 years ago

The table shows the distance in feet, y, that a rocket traveled in x seconds.

Murrr4er [49]

Answer:

The correct option is D. y = 25 $x^{2}$ .

Step-by-step explanation:

i) From the table and our own observation and a trial and error approach we

can clearly see that the equation that matches y in feet ( the distance

traveled by the rocket) and x in seconds ( the time elapsed) is given by the

equation y = 25 $x^{2}$

Therefore the correct option is D. y = 25 $x^{2}$ .

7 0

3 years ago

Read 2 more answers

What is the value of X?

Bond [772]

Answer:

it is 5

Step-by-step explanation:i nailed agelbra and i got a 100% percent on the tesy

4 0

3 years ago

Read 2 more answers

Hannah got a $23,400 Unsubsidized Loan to help her pay for college but she wants to pay off the interest only while she is a stu

Radda [10]

Step-by-step explanation:

lícita; de navegar y comerciar; de peticionar a las autoridades; de entrar, permanecer, transitar y salir del territorio argentino; de publicar sus ideas por la prensa sin censura

3 0

2 years ago