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Mars2501 [29]
1 year ago
9

PLS HELP ASAP! 30 POINTS! functionf(x) is graphed on the coordinate plane.

Mathematics
1 answer:
lorasvet [3.4K]1 year ago
7 0

The function will be given f(x) = -4 ( x -0.5)

<h3 /><h3>What is the equation of a line passing through two points?</h3>

Graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by

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

We can see that the line is passing through the points ( 0.5,0) and ( 0,-2). so we will find the function by using the equation of the line passing through two points.

Write an equation for the trend line.

(x₁, y₁) → (0.5,0)

(x₂, y₂) → (0, -2)

Then we have

y - 0 = ( -2 - 0)/( 0 - 0.5)(x - 0.5)

y - 0 = ( -2/-0.5) ( x - 0.5)

y = -4 ( x -0.5)

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

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<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

3:2

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C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle

If we define:

C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2

Then, the ratio of the circumference of two circles is 3:2 is:

\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}

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So the ratio of their area can be found as:

\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2

So:

\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

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Answer:

The answer is -3

Step-by-step explanation:

First of all we find the difference -4-2 = -(4+2) and than we add the numbers answer is -6 .

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4÷2=

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