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sasho [114]
2 years ago
14

What is the value of y for the line that had a slope of -3/2 and passes through the points (3,5) and (7,y)?

Mathematics
1 answer:
Leni [432]2 years ago
7 0

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-5}{7-3}=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{3}{2}}\implies \cfrac{y-5}{4}=-\cfrac{3}{2} \\\\\\ 2y-10=-3y\implies 5y-10=0\implies 5y=10\implies y=\cfrac{10}{5}\implies y=2

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yawa3891 [41]

(2,4)

Step-by-step explanation:

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3 0
2 years ago
In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=
Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

A(x)=2x+5

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Let

y=A(x)

y=2x+5

Exchange the variables x for y and y for x

x=2y+5

Isolate the variable y

2y=x-5

y=\frac{x-5}{2}

Let

g(x)=y

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<em>Explanation</em>

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A(1)=2(1)+5=7

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

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The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

8 0
3 years ago
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Answer:

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Step-by-step explanation:

hope it helps

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Step-by-step explanation:

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The error that Juanita made is that she made a computational error when subtracting.

7 0
3 years ago
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