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Ganezh [65]
3 years ago
13

Which ratio is equal to 3 : 5?Select one of the options below as your answer:

Mathematics
1 answer:
alexira [117]3 years ago
7 0
The answer is B. 12 : 20

The numbers simply need to be simplified by 4 to reach 3 : 5.

12 / 4 : 20 / 4
3 : 5

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>


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Given the function graphed below, what is the average rate of change between f(3) and f(7)?
Shkiper50 [21]
Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
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m = (y2 - y1)/(x2 - x1)
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The slope of the line is 20, so therefore, the average rate of change is 20.

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