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Novosadov [1.4K]
3 years ago
13

Select all the statements that are true for the graph shown.

Mathematics
2 answers:
Yuki888 [10]3 years ago
3 0

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3

The rate of change of the line or slope of the line is -3

Equation of the line is given by

(y-0)=-3(x-0)\\\Rightarrow y=-3x

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

professor190 [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Proportional

Linear

Equation of line is y=-3x

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If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) equilateral triangle
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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

2^{-0.75}=1-3^{-0.75}

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

2^{-1.25}=1-3^{-1.25}

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

2^{0.75}=1-3^{0.75}

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

2^{1.25}=1-3^{1.25}

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

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3 years ago
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