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Oliga [24]
4 years ago
6

A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?

Mathematics
1 answer:
pentagon [3]4 years ago
7 0
The domain would only include positive integers, assuming x is the number of people and y is the dollar amount.  You can't have a negative number of people and you also cannot have a fraction of a person.
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Solve each equation by completing the square.<br><br> X^2 +2x-5=0 <br><br><br> N^2-20n+2=4
Dennis_Churaev [7]

Step-by-step explanation:

x² + 2x - 5 = 0

that is the same as

x² + 2x + 1 = 6

(x + 1)² = 6

x + 1 = ±sqrt(6)

x = -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

n² - 20n + 2 = 4

this is the same as

(n - 10)² = 102

n - 10 = ±sqrt(102)

n = 10 ± sqrt(102)

n1 = 10 + sqrt(102)

n2 = 10 - sqrt(102)

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2 years ago
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Step-by-step explanation:

See attached picture.

First, compare the highest term of the dividend (x²) to the highest term of the divisor (x).  We need to multiply the divisor by x.

When we do that, we get x² + 5x.  Subtracting this from the dividend, we get -9x + 11.

Now repeat the process.  Compare the highest term of the new dividend (-9x) to the highest term of the divisor (x).  We need to multiply by -9.

When we do that, we get -9x − 45.  When we subtract from the new dividend, we get 56.

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Use substitution to solve the system.<br> -5x + 3y = 19<br> x = 3y - 11
telo118 [61]

Answer:

x = -2

y = 3

Step-by-step explanation:

-5x + 3y = 19

x = 3y - 11

-5x + 3y = 19

-5(3y - 11) + 3y = 19

-15y + 55 + 3y = 19

-15y + 3y + 55 = 19

-12y + 55 = 19

-12y = 19 - 55

-12y = -36

y = -36/-12

<u>y = 3</u>

x = 3y - 11

x = 3(3) - 11

x = 9 - 11

<u>x = -2</u>

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