Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D) =
 =  +
 + 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
 
        
             
        
        
        
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Answer:
The ratio of girls is 24.
Step-by-step explanation:
If the total amount of swimmers is 40, you can divide it by 8 to get 5 multiples.   If three of those 5's belong to the ratio of girls, the equation is 3 x 8. The answer is 24.
 
        
             
        
        
        

Hope that helps and hope you get better!
 
        
             
        
        
        
Answer:
0.05
Explanation:
Let x = the number
.05 = .1x
5/100 = (1/10)x       Multiply both sides by 10.
5/10 = x
1/2 = x