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SOVA2 [1]
3 years ago
10

he graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

graphed passing through the y-axis at y = 6. Function 2 y = 2x + 7 How much more is the rate of change of function 2 than the rate of change of function 1? 1 2 3 4
Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

The answer is 2

Step-by-step explanation:

Rate of change of function is given by :

\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}

For function y = 6,

rate of change =  

=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{6-6}{x_{2}-x_{1}}\\=0

because the function is independent of x.

For function y = 2·x + 7,

rate of change =

=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}+7-2\cdot x_{1}-7}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}-2\cdot x_{1}}{x_{2}-x_{1}}\\=\frac{2\cdot (x_{2}-x_{1})}{x_{2}-x_{1}}\\=2

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.




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2 years ago
The diagonal of a rectangle is 25 in. The width is 15 in. What is the area of the rectangle
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Width of rectangle =15 inches

Length of rectangle =?

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Bebrainly
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3 years ago
Explain an example of how taking an amount (for example, $20), decreasing it by 40% and then increasing that amount by 40% does
Likurg_2 [28]

Answer:

See below

Step-by-step explanation:

What we can do is try it out.

20*0.6=12

since 0.6 is left

now we increase 12 by 40, or multiply it by 1.4

12*1.4= 16.8

See what is happening here is that at first when we are decreasing it by 40 percent, we are taking 40 percent of 20. However, when we increase that amount by 40 percent, we are now increasing 40 percent of 20 by 40 percent, or increasing 16 by 40 percent. Therefore, we will not get the original amount.

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