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mixas84 [53]
3 years ago
15

Find the y-intercept of the line on the graph.​

Mathematics
1 answer:
horrorfan [7]3 years ago
4 0
The y intercept is 2,0
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Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B
JulsSmile [24]

Answer:

They will do rounds together again in 11 minutes and 40 seconds.

Step-by-step explanation:

Security A rounds every 2 minutes and 20 seconds in the gate 1.

That is, after 2*60 + 20 = 120 + 20 = 140 seconds.

Security B rounds every 1 minute and 40 seconds in the gate 2.

That is, after 1*60 + 40 = 60 + 40 = 100 seconds.

After how many minutes they will rounds together again?

First, we find this is seconds, which is the least common multiple between 140 and 100. Factoring them by prime factors:

140 - 100|2

70 - 50|2

35 - 25|5

7 - 5|5

7 - 1|7

1 - 1

lcm(140,100) = 2*2*5*5*7 = 700 seconds

They will do rounds together again in 700 seconds, which is 11 minutes and 40 seconds.

5 0
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
Marissa used the set of ordered pairs below to graph a relation.
Rudiy27

Answer:

(3,2,4).............

4 0
3 years ago
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Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum serv
masha68 [24]

Valdez Company opened a special checking account. The charge for each check written was either $.55 or a $6-a-month minimum service charge (whichever is greater). At the beginning of the month, the company checkbook balance was $695.18. Valdez Company wrote 14 checks totaling $312.88. Deposits of $188.10 and $195.10 were made during the month. What's Valdez's checkbook balance to start the next month (including the cost of check writing)?

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|x+5|=x<br><br> Solve these equations
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Answer:

do yourself a favor and download photomath. It'll save your life

Step-by-step explanation:

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