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Gnom [1K]
3 years ago
15

Simplify the expression. 18a + 12x − 12a + 15x A) 6a + 27x B) 6a − 3x C) 30a − 18x D) −30 −3x

Mathematics
2 answers:
OlgaM077 [116]3 years ago
8 0
First put all the alike terms together 6a+27x the answer is A)
Vinvika [58]3 years ago
6 0

Answer:

18a + 12x - 12a + 15x

6a + 27x

the answer is a

Step-by-step explanation:

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​Joe's annual income has been increasing each year by the same dollar amount. The first year his income was ​$17 comma 90017,900
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Answer:

In 17th year, his income was $30,700.

Step-by-step explanation:

It is given that the income has been increasing each year by the same dollar amount. It means it is linear function.

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Income in 4th year = $20,300

Let y be the income at x year.

It means the line passes through the point (1,17900) and (4,20300).

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The equation of line is

y-17900=\frac{20300-17900}{4-1}(x-1)

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y-17900=800(x-1)

y-17900=800x-800

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y=800x-800+17900

y=800x+17100

The income equation is y=800x+17100.

Substitute y=30,700 in the above equation.

30700=800x+17100

Subtract 17100 from both sides.

30700-17100=800x

13600=800x

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\frac{13600}{800}=x

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