Answer:
The answer is B (3 units right)
Step-by-step explanation:
You pick a point in the triangle which does not have an apostrophe. Then you see the correspondent point to it and see how much it has moved and in this case it is 3 to right therefore the answer is B. 
Hint: If the apostrophe is after the letter, it shows translation therefore it is the moved shape
 
        
             
        
        
        
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%.
 
        
             
        
        
        
Answer: x=-6
Step-by-step explanation:
5-2x=-4x-7
5+2x=-7
2x=-12
X=-6
 
        
             
        
        
        
Answer:
1. 1,605
2. -605
3. 21,575
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer: -6p - 78
Step-by-step explanation:
-5 (3p + 3) + 9(-7 + p)
-15p -15 - 63 + 9p
-6p-78