Answer:

that is the required inequality
 
        
             
        
        
        
To factor first multily 100 and 1 and get 100
then find what 2 numbers multiply to get 100 and add to get 20
the numbers are 10 and 10
so 
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
        
                    
             
        
        
        
Answer:
18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.
 
        
             
        
        
        
translate each statement into mathematical language
  
length is nine inches less than twice width.    L = 2W - 9
perimeter is 84 inches                                   2L +2W = 84
  
Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing
  
2(2W-9) + 2W = 84
  
4W - 18 + 2W = 84
  
(4W+2W) = 84+18  
6W =  102
W = 102/6 = 51/3
  
L = 2(51/3) - 9 
= L= 17-9
L=6