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neonofarm [45]
4 years ago
13

A direct variation function contains the points (2,14) and (4,38) which equation represents the function

Mathematics
1 answer:
Dmitry [639]4 years ago
3 0
You are given two points on a line, and told that the function is "direct variation."  You can save a lot of time by recognizing that the y-intercept here is zero (0).  Thus, the line passes through the origin.

A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.
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Romashka [77]

Answer:

slope = 3

Step-by-step explanation:

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NEED HELP ASAP PLEASE!!
qwelly [4]

Option D:

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

Solution:

Given function:

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

To find the inverse of the function.

<u>Inverse of a function:</u>

<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

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

Interchange the variables x and y.

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

Now, solve for y.

Multiply both sides by (y - 5).

$x(y-5)=-\frac{2}{y-5}(y-5)

Cancel the common factors, we get

x(y-5)=-2

Divide by x on both sides.

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

Add 5 on both sides.

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

$y=-\frac{2}{x}+\frac{5}{1}

To make the denominator same, multiply the 2nd term by \frac{x}{x}.

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

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

Option D is the correct answer.

8 0
3 years ago
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