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3 years ago

9

What is the inverse of the functiob f(x)=1/4x-12

1 answer:

MaRussiya [10]3 years ago

8 0

Replace the f(x) with y and proceed to make x the subject:
y=1/4x-12
y+12=1/4x
To ÷1/4 on both sides, ×4 on both sides
4(y+12)=x
4y+48=x
Now swap y with x and replace the isolated x with f(x) to get the inverse function:
${f}^{ - 1}(x) = 4x + 48$

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3 years ago

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Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

$Length\ scale\ factor=k=6$

Now you have to find the Area scale factor.

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3 years ago

Please what is the interquartile range ?

AleksAgata [21]

Answer:

3.

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3 years ago

In the xy-plane, line l has a y-intercept of -13 and is perpendicular to the line with the equation y=-2/3x. If the point (10, b

AlekseyPX

Answer:

The value of $b$ is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

$y = m\cdot x + k$

Where:

$x$ , $y$ - Independent and dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$k$ - y-intercept, dimensionless.

Given that line $l$ is perpendicular to $y = -\frac{2}{3}\cdot y$ , the slope is equal to:

$m = -\frac{1}{m_{\perp}}$

Where $m_{\perp}$ is the slope of the perpendicular line, dimensionless.

If $m_{\perp} = -\frac{2}{3}$ , then:

$m = -\frac{1}{\left(-\frac{2}{3}\right) }$

$m = \frac{3}{2}$

If $x = 0$ and $y = -13$ , the y-intercept of the line $l$ is:

$-13 = \frac{3}{2}\cdot (0) +k$

$k = -13$

The equation of the line $l$ is $y = \frac{3}{2}\cdot x -13$ . Given that $y = b$ and $x = 10$ , the value of $b$ is:

$b = \frac{3}{2}\cdot (10)-13$

$b = 15-13$

$b = 2$

The value of $b$ is 2.

5 0

3 years ago