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Setler [38]
3 years ago
10

Find the solution set for the equation, given the replacement set.

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

c. {(4, -12)}

Step-by-step explanation:

It is convenient to rearrange the equation to standard form:

5x +y = 8

Then check the offered points.

(6, -11): 5·6 -11 = 19 ≠ 8

(4, -12): 5·4 -12 = 8 . . . . . . this is in the solution set

(5, -9): 5·5 -9 = 16 ≠ 8

(3, -14): 5·3 -14 = 1 ≠ 8

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For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Lorico [155]

The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

brainly.com/question/12431044

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2 years ago
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What is the equation of the line that passes through
irinina [24]
Solve equation for y.

5x - y = 3

-y = -5x + 3

y = (-5x + 3)/(-1)

y = 5x - 3

The slope for this equation is 5.

The slope of the equation we want is the negative reciprocal of 5.

Let m = slope of equation we want.

m = -1/5

We are given the point (10,4).

Plug both into the point-slope formula.

y - 4 = (-1/5)(x - 10)

y - 4 = (-1/5)x + 2

y = (-1/5)x + 2 + 4

The equation we want is

y = (-1/5)x + 6

Did you follow?
7 0
3 years ago
1. What is Bankruptcy
8090 [49]

Step-by-step explanation:

1.Bankruptcy is a legal process through which people or other entities who cannot repay debts to creditors may seek relief from some or all of their debts.

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2 years ago
State if the three numbers can be the measures of the sides of a triangle. Show your work
LenaWriter [7]

Answer: 2

Step-by-step explanation:

4 0
2 years ago
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Solve this system of linear equation the x- and y-value with a comma. 18x+13y=60 6x+2y=6
OLEGan [10]

Answer:

18x + 13y = 60

6x + 2y = 6 ---> 6x = -2y +6 ---> 18x = -6y+18

Substitution

(-6y +18)+13y =60

       -18           -18

--------------------------

7y = 42 so y=6

Then, 6x + 2(6) =6, which you will get x = -1

(-1, 6)

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