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x^2 + 4x = 12
SUBTRACT 12 to BOTH SIDES
x^2 + 4x - 12 = 12 - 12
SIMPLIFY IT
x^2 + 4x - 12 = 0
FACTOR the LEFT SIDE of your EQUATION
(x - 2)(x + 6) = 0
• EQUATION #1: x - 2 = 0
OR
• EQUATION #2: x + 6 = 0
SIMPLIFY IT
• EQUATION #1 answer: x = 2
OR
• EQUATION #2 answer: x = -6
OVERALL ANSWER: x = 2 or x = -6
YOUR ANSWER: x = 2 (Option A.)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The option fourth "There is a strong negative relationship between x and y" is correct.
<h3>What is correlation?</h3>
It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
![\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}](https://tex.z-dn.net/?f=%5Crm%20r%20%3D%20%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%7B%5Bn%5Csum%20x%5E2-%20%28%5Csum%20x%29%5E2%5D%7D%7D%5Csqrt%7B%5Bn%5Csum%20y%5E2-%20%28%5Csum%20y%29%5E2%5D%7D%7D)
The options are:
- There is no relationship between x and y.
- There is a weak negative relationship between x and y.
- There is a strong positive relationship between x and y.
- There is a strong negative relationship between x and y.
We have data:
x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0
The value of correlation r = -0.9847
As we know the value of r between -1 to +1
If r = 1 (perfect and positive correlation)
if r = -1 (perfect and negative correlation)
We have r = -0.9847
The value is near to -1 which means there is a strong negative relationship between x and y.
Thus, the option fourth "There is a strong negative relationship between x and y" is correct.
Learn more about the correlation here:
brainly.com/question/11705632
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