<span>1.6. The Pearson Correlation Coefficient, otherwise known as r-value, must have a value between -1 and 1. It's used to measure how closely related two different variables are. -1 means negative linear correlation, 0 means no linear correlation, and 1 means positive linear correlation.</span>
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Answer:</u></h2><h2><u>
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Solution Steps:</u></h2>
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<h3>1.) Combine x and 3x:</h3>
<em> - We combine the </em>
<em> variables because to get to the end sum of the equation, there can only be 1 variable. So to get the 1, you combine like terms. </em>
<em />
<h3>2.) Add 19 to both sides:</h3>
Cancels Out
- <em></em>
<em></em>
<em> - We do this to get 1 number left over. To do this you do the opposite of what you see. In this case we have a negative 19, so you add 19 on each side of the equals. </em>
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<h3>3.) Divide both sides by 4:</h3>
÷ 
÷ 
<em> - We do this to get x alone. To do this you do the opposite of what you see. In this case we have </em>
<em> which is multiplying, so you divide by 4 on each side. </em>
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So your answer is 
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Answer:
-18+9k
Step-by-step explanation:
If you use the distributive property, you get:
(-3*6) and (-3*-3k)
If you simplify each of them you get:
-18+9k
Answer:
(x+5/2)^2 = 0
Step-by-step explanation:
4 x^{2} +20x +25 =0
Divide by 4
4/4 x^{2} +20/4x +25/4 =0
x^2 +5x +25/4 =0
Subtract 25/4 from each side
x^2 +5x +25/4 -25/4 =-25/4
x^2 +5x =-25/4
Take the coefficent of x
5
Divide by 2
5/2
Square it
25/4
Add it to each side
x^2 +5x +25/4 =-25/4+25/4
(x+5/2)^2 = 0
Take the square root of each side
x+5/2 = 0
x = -5/2
