We will have the following:
Using exponential regression we will have that the line of best fit will be:
Now, we will have that:
So, the approximation using linear regression gives us as solution approximately 29.7 years; thus the closest one to match is then
Answer: 0.84 as a fraction is 84/100
Greatest common factor is 4
Resulting fraction is 21/25
Addition of numerator and denominator of the resulting fraction is 46
Step-by-step explanation:
From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84
Convert 0.84 to fraction = 84/100
The numerator and denominator in 84/100 are both positive integers.
The greatest common factor to the numerator and denominator is 4
Divide 84 by 4 = 21
Divide 100 by 4 = 25
Therefore, the resulting fraction is 21/25
Addition of 21 and 25 equals 46.
I hope this helps.
Answer:
Step-by-step explanation:
First, plot the point (2, -3) on the graph. Then, use the slope to pick another point. The slope is rise over run. For your slope, the line will go 3 places up and then 4 places to the right. Using a straight-edge, follow the points and you will get the graph of the line.
Answers:
Part 1 (the ovals)
Domain = {-6,-1,1,5,7}
Range = {-4,-1,2,4}
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Part 2 (the table)
Domain = {1,-3,-2}
Range = {-2,5,1}
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Part 3 (the graph)
Domain = {1, 2, 3, 4, 5, 6}
Range = {-1, 0, 1, 2, 3, 6}
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Explanation:
Part 1 (the ovals)
The domain is the set of input values of a function. The input oval is the one on the left.
All we do is list the numbers in the input oval to get this list: {-6,-1,1,5,7}
The curly braces tell the reader that we're talking about a set of values.
So this is the domain.
The range is the same way but with the output oval on the right side
List those values in the right oval and we have {-4,-1,2,4}
Which is the range. That's all there is to it.
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Part 2 (The tables)
Like with the ovals in part 1, we simply list the input values. The x values are the input values. Notice how this list is on the left side to indicate inputs.
So that's why the domain is {1, -3, -2}. Optionally you can sort from smallest to largest if you want. Doing so leads to {-3, -2, 1}
The range is {-2,5,1} for similar reasons. Simply look at the y column
Side Note: we haven't had to do it so far, but if we get duplicate values then we must toss them.
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Part 3 (the graph)
Using a pencil, draw vertical lines that lead from each point to the x axis. You'll notice that you touch the x axis at the following numbers: 1, 2, 3, 4, 5, 6
So the domain is the list of those x values (similar to part 2) and it is {1, 2, 3, 4, 5, 6}
Erase your pencil marks from earlier. Draw horizontal lines from each point to the y axis. The horizontal lines will arrive at these y values: -1, 0, 1, 2, 3, 6
So that's why the range is {-1, 0, 1, 2, 3, 6}
