Answer:
   15
Step-by-step explanation:
The general form of an exponential equation is ...
   f(x) = (initial value)(growth factor)^x
That is, the "growth factor" is the base of the exponent. In your equation ...
   f(x) = (1/5)(15^x)
the growth factor is 15.
 
        
                    
             
        
        
        
Answer:
The solutions to the quadratic equations will be:

Step-by-step explanation:
Given the expression

Let us solve the equation by completing the square

Add (-6)² to both sides

simplify

Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.

so the expression becomes


solve

add 6 to both sides

Simplify

also solving

add 6 to both sides

Simplify

Therefore, the solutions to the quadratic equation will be:

 
        
             
        
        
        
Answer: 
Step-by-step explanation:
As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.
Using the identity  ,
,

 
        
             
        
        
        
Answer:
3/2y -5
Step-by-step explanation:
-1/2 (-3y+10)
Distribute
-1/2* -3y + -1/2*10
3/2y -5