
Step-by-step explanation:


<em>Prologarithmize both parts of the equation:</em>

<u><em> Divide both parts of the equation by 2:</em></u>


 
        
             
        
        
        
Vertical asymptotes happen at x=a if the function is undefined at x=a.
This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.
In this case, the denominator is zero if

And thus the function has a vertical asymptote at x= -3/2
 
        
             
        
        
        
Answer:
a) 3n^2 + 11n + 8 
b) 350
Step-by-step explanation:
10) 3(10^2)+ 5*10 = 350
n+1) 3(n+1)^2 + 5(n+1)
         3(n^2 + 2n + 1) + 5n+5
          3n^2 + 6n+3 + 5n + 5
            3n^2 + 11n + 8
 
        
             
        
        
        
"5 times a sum of 12 and a number is 80" translates to the next equasion:
5 x (12+a) = 80
Now we just have to solve it to find the value of a.

The unknown number is 4. 
D is the right answer.