F(x)=5x-26 is your correct answer
        
             
        
        
        
Answer: b=0
Step-by-step explanation:
0.5b+4=2(b+2)
0.5b+4=2b+4
4=1.5b+4
0=1.5b
b=0
 
        
                    
             
        
        
        
Answer:
y=29x+50; 30 months
Step-by-step explanation:
$920-50=870
870/29=30
 
        
                    
             
        
        
        
Answer:
True. See the explanation and proof below. 
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y) 
2) T(cv) = cT(v)
For all vectors  and for all scalars
 and for all scalars  . And A is called the domain and B the codomain of T.
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t:  
 
Where  
 
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2) 
And we can express like this 
3) If  and
 and  then we have this:
 then we have this:

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.