#a
The table represents all possibilities.
- Yes its possible .
- The table may represent Aquarium fee more or least etc.
#b
The carnival always costs the least.
- No its possible but not always .
- Aquarium fee is 14.50 on the other hand carnival fee starts at 15.55.
#c
The aquarium always costs the move.
 
        
             
        
        
        
F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1
The domain of (f/g)(x) is all real numbers except 1.
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The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
        
             
        
        
        
Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60
</em>
<em>10x + 15y = 333
</em>
which can be written in matrix form as
 
The solution would be given by
 
We have  
 
hence
 
Now, 
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
 
        
             
        
        
        
F(x) = x + 8
This is because you are simply moving the y-intercept up 8 units.
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