Answer:
Step-by-step explanation:
F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)
 
        
             
        
        
        
Answer:
c. g(x) = 4x^2 
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1. 
We can then look and see that g(1) = 4 as shown by the point given to us on the graph. 
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like 
4(1)^2. 
1^2 = 1, and 4(1) = 4, 
so g(1) = 4. and our point is (1,4). 
This is the same as the graph so this is the CORRECT answer. 
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer. 
Option D:
once we plug in 1 for x, our equation looks like 
16(1)^2 
1^2 = 1, and 16(1) = 16, 
so g(1) = 16. and our point is (1,16). 
This is different than the graph so this is the WRONG answer. 
 
        
             
        
        
        
Answer:
20 is the rate of change/slope
 
        
                    
             
        
        
        
Yes this is the best kind of question
        
                    
             
        
        
        
There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.
16*1.125=18
So there are 18 girls in a group with 16 boys.