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suter [353]
2 years ago
14

Does the chart below represent a proportional relationship? What is the rate of change?

Mathematics
1 answer:
Lilit [14]2 years ago
5 0

This chart represents a proportional relationship. The rate of change will be 4.

<h3>What is the constant of proportionality?</h3>

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

Given;

x y

1 4

2 8

3 12

4 16

Here, x = ky

put the first value

k = 1/4

This chart represents a proportional relationship.

So the rate of change will be

Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4

Learn more about proportional ;

brainly.com/question/20048815

#SPJ1

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Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + y = 11 -x = -y - 9
suter [353]
x+y=11 \\&#10;-x=-y-9 \\ \\&#10;\hbox{substitute the second equation by -1} \\ \\&#10;x+y=11 \\&#10;x=y+9 \\ \\&#10;\hbox{substitute y+9 for x in the first equation} \\ \\&#10;y+9+y=11 \\&#10;2y=11-9 \\&#10;2y=2 \\&#10;y=\frac{2}{2} \\&#10;y=1 \\ \\&#10;x=y+9 \\&#10;x=1+9 \\&#10;x=10 \\ \\&#10;(x,y)=(10,1)

The answer is B.
5 0
2 years ago
Read 2 more answers
Can y’all help me and tell me what the answer is please I’m a bit stuck
12345 [234]

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

(-2x^4)^4=-16x^{16}

The mistake here is when we have even power, the negative sign gets positive i.e (-a)^m=a^m if m is even

so, in our case it would be:

(-2x^4)^4=16x^{16}

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

5 0
2 years ago
4−d&lt;4+d, solve for d<br><br> d&gt;0<br> d&gt;−4<br> d&gt;−8<br> d&gt;8
Harrizon [31]
4-2d<4
-2d>0
d>0 the answer to the question


4 0
2 years ago
Find an area of a figure whose coordinates are A(-2, 2), B(2, 2), and D(-2, -2).
ivann1987 [24]
8 square units
A triangle
8 0
2 years ago
Given h(x)=-x-4, solve for x when h(x)=4
Brilliant_brown [7]

Step-by-step explanation:

h(x)=-x-4

but h(x)=4

4=-x-4

x=-4-4

x=-8

5 0
3 years ago
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