5x^3/10x^2
*Simplify 5/10 to 1/2
*simplify the exponent so that x^1 is on top
1x/2
FINAL ANSWER:
x/2
        
             
        
        
        
Answer:
A. Correct: When we plug in g(x) for the x in f(x), we get H(x).
B. Correct: When we plug in g(x) for the x in f(x), we get H(x).
C. Correct: When we plug in g(x) for the x in f(x), we get H(x).
D. Correct: When we plug in g(x) for the x in f(x), we get H(x).
Step-by-step explanation:
<em>Brainliest, please!</em>
 
        
             
        
        
        
Answer:
The last table given See attached image)
Step-by-step explanation:
Notice that they are asking for the inverse function to the one with the detailed relationship given. The original relationship was assigning to the Domain of number of people attending, the Range of values for charges.
Therefore, the inverse function will be assigning in the opposite way: from the average charges (now the Domain of this relationship), to the number of people attending (now the Range of this relationship). The relationship should also maintain the original element to element connection:
What was:
 (20, $10) should now be ($10, 20)
 (26, $6.25) should now be ($6.25, 26)
 (35, $4) should now be ($4, 35)
This is exactly represented by the last table (see also image attached)
 
        
                    
             
        
        
        
Answer:
D. -2
Step-by-step explanation:
The zero of a function is always along the x-axis and in this case that's -2. 
Hope this helps :)
 
        
             
        
        
        
We know the area of a small square is 24 in².
Assuming the small rectangles are all equal in area, the total area of the window is equal to 6 x 24 = 144 in².
Now looking at the big window, the total area = width x length so:
144 = 18 x width
width = 144 ÷ 18 = 8 in