Combine like terms
11x^2 - y
        
             
        
        
        
Let the weight if a whole pizza be x grams
Then 1/4 of a pizza weighs x/4  grams and one eighth weighs x / 8.  The difference is 32 grams so we can make the following equation:-
x/4 - x/8  = 32
x / 8  = 32
Multiplying both sides by 8:-
x = 8*32 =  256 
Answer is 256 grams.
        
             
        
        
        
Answer:
   (4, 1)
Step-by-step explanation:
Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':
   (-3, 4) = (A +A')/2
   2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)
The reflection over the line y=x simply interchanges the two coordinate values:
   A'' = (4, 1)
 
        
             
        
        
        
Answer:
   a) see the plots below
   b) f(x) is exponential; g(x) is linear (see below for explanation)
   c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
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b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
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c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross. 
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.