<h3>
Answer: Choice A</h3>
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Explanation:
If we replace x with 0, then we get...
f(x) = 3x^2-8x+2
f(0) = 3(0)^2 - 8(0) + 2
f(0) = 3(0) - 8(0) + 2
f(0) = 0 - 0 + 2
f(0) = 2
Showing that the input x = 0 leads to the output y = f(x) = 2
The answer is between choice A and choice D because of this. Something like choice B is eliminated because this table shows x = 0 leading to y = -3 which is not correct.
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Let's plug in x = 1
f(x) = 3x^2-8x+2
f(1) = 3(1)^2 - 8(1) + 2
f(1) = 3(1) - 8(1) + 2
f(1) = 3 - 8 + 2
f(1) = -5 + 2
f(1) = -3
So x = 1 leads to y = -3. We can rule out choice D and confirm it is choice A.
We don't need to try other x values since we have the answer, but I recommend practicing with other x values to help confirm that the first table is the answer.
let's convert the mixed fraction to improper fraction, and then check.

Answer:
The linear regression equation that represents the set of data is:

The predicted number of new cases for 2013 is 1368.
Step-by-step explanation:
The general form of a linear regression is:

Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
Compute the values of <em>a</em> and <em>b</em> as follows:

The linear regression equation that represents the set of data is:

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:


Thus, the predicted number of new cases for 2013 is 1368.
(opposite angles in a parallelogram)
(subtraction)
(angles in a triangle add to 180 degrees)
(adjacent angles in a parallelogram are supplementary)
(subtraction)
(angles in a triangle add to 180 degrees)
(angles on a straight line add to 180 degrees)
Answer:
5/2
Step-by-step explanation:
BRAINLIEST