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astra-53 [7]
3 years ago
5

Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

m=\frac{1+1}{3-0}

m_1=\frac{2}{3}

step 2

Find the slope of the function g(x)

take two points of the given table

(0,2) and (3,4)

substitute in the formula

m=\frac{4-2}{3-0}

m_2=\frac{2}{3}

step 3

Compare the slopes

m_1=m_2

therefore

The slope of f(x) is equal to the slope of g(x).

NemiM [27]3 years ago
7 0

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

Took the test

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The most misleading graph is graph B because the blue rectangle and the red rectangle do not have the same width when plotted on the same scale

<h3>The ratio of the median weekly earnings</h3>

From the graph, we have the median weekly earnings to be:

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<h3>The ratio of the area of the red rectangle to the blue rectangle in graph A?</h3>

In (a), we have:

Ratio = 3 : 5

The scale on the horizontal axis is given as:

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Both rectangles have a width of 1 unit.

So, we have:

Ratio = 3 * 1: 5 * 1

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Hence, the ratio of the area of the red rectangle to the blue rectangle in graph A is 3 : 5

<h3>The ratio of the area of the red rectangle to the blue rectangle in graph B?</h3>

In (a), we have:

Ratio = 3 : 5

The scale on the horizontal axis is given as:

1 unit per grid mark

The red rectangle has a width of 3 units, while the blue has 5 units as its width

So, we have:

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Hence, the ratio of the area of the red rectangle to the blue rectangle in graph B is 9 : 25

<h3>The ratio of the volume of the red cube to the blue cube in graph C?</h3>

In (a), we have:

Ratio = 3 : 5

The scale on the horizontal axis is given as:

1 unit per grid mark

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Ratio = 3 * 3  * 3 : 5 * 5 * 5

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Hence, the ratio of the volume of the red cube to the blue cube in graph C is 27 : 125

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The most misleading graph is graph B.

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2 years ago
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Answer:

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Step-by-step explanation:


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I'm not sure if I get what you mean, because I don't think I remeber what an area model is. But if it literally means making a model to describe the area, you could draw a square and put 84 on the length or the width and the o.24 on the other. Show that length times width = area. And then multiply. But if I am right, that's not what you are looking for, huh?
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Through: (2, 2), parallel to y = x +4​
dexar [7]

Answer:

y = x

Step-by-step explanation:

We can use slope-point form.

(y-y1) = m(x-x1)

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(y-y1) = m(x-x1)

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(y - 2) = 1(x-2)

y - 2 = x - 2

y = x

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3 years ago
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