Answer:
Dividing 4x^2 - 13x + 8  by x + 5 or x - (-5), in synthetic division form:
-5)        4          |       -13      |          8
            ↓               4 x (-5)      (-5) x (-33)   
            4                 -33               173
=> Quotient is 4x - 33 and remainder is 173
=> (4x^2  - 13x + 8)/(x + 5) = (4x - 33) + 173/(x + 5)
Hope this helps!
:)
 
        
             
        
        
        
Answer:
a)  
  
b) r =-0.932
The % of variation is given by the determination coefficient given by  and on this case
 and on this case  , so then the % of variation explained by the linear model is 86.87%.
, so then the % of variation explained by the linear model is 86.87%.
Step-by-step explanation:
Assuming the following dataset:
Monthly Sales (Y)     Interest Rate (X)
        22                               9.2
        20                               7.6
        10                                10.4
        45                                5.3
Part a
And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:
 
  
Where:  
 
  
 
  
With these we can find the sums:  
 
  
 
  
And the slope would be:  
 
  
Nowe we can find the means for x and y like this:  
 
  
 
  
And we can find the intercept using this:  
 
  
So the line would be given by:  
 
  
Part b
For this case we need to calculate the correlation coefficient given by:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D) 
  
![r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%28696.9%29-%2832.5%29%2897%29%7D%7B%5Csqrt%7B%5B4%28278.65%29%20-%2832.5%29%5E2%5D%5B4%283009%29%20-%2897%29%5E2%5D%7D%7D%3D-0.937) 
  
So then the correlation coefficient would be r =-0.932
The % of variation is given by the determination coefficient given by  and on this case
 and on this case  , so then the % of variation explained by the linear model is 86.87%.
, so then the % of variation explained by the linear model is 86.87%.
 
        
             
        
        
        
(11,1) because if you plug in x and y this answer is the only one that gives you 18 in the end
        
                    
             
        
        
        
Answer:
y = 3/2*x - 5
Step-by-step explanation:
Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:
P1=(x1,y1) and P2=(x2,y2) 
slope formula --->   m=(y2-y1)/(x2-x1)
Replacing the given points --->    m=(1-4)/(4-6) = 3/2
then replacing the slope value obtained:
y = 3/2*x + b
Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:
1 = 3/2*4 + b
1 = 6 + b
1 - 6 = b
-5 = b
therefore the line equation is:
y = 3/2*x - 5