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Sonja [21]
3 years ago
11

Using a System to Break Even

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer: P^2 - 10p + 24 = 0

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

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5x-2y=5<br> 2x+3y=21<br><br> How do I find x&amp;y???<br><br><br><br> Please answer asap!!!!
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To solve systems of two equations with two variables (in this case, "x" and "y"), you choose one equation and attempt to solve for one of the variables.

For example, I will try solving for x using the first equation.
5x - 2y = 5
5x = 5 + 2y        [move 2y to other side]
x = (5 + 2y) / 5  [divide both sides by 5]
x = 1 + (.4)y      [simplified form]

Now, I plug this value into the x of the second equation to solve for y.

2x + 3y = 21
2 * (1 + (.4y)) + 3y = 21  [plug in x]
2 + (.8)y + 3y = 21          [distribute 2 to the x value we plugged in]
2 + 3.8y = 21                   [add the y terms together]
3.8y = 19                        [subtract 2]
y = 5                               [divide by 5]

Now that we know the value of y, plug it into either of the original equations to find x. I'll plug it into the first one.
5x - 2y = 5 
5x - 2(5) = 5 [plug in y]
5x - 10 = 5    [2 * 5]
5x = 15         [add 10]
x = 3             [divide by 5]

The final answer is x = 3, y = 5.

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Answer:

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6 = -x - 4

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10 = -x

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