Answer:
   see attached
Step-by-step explanation:
The equation is in the form ...
   4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
   p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
   vertex: (3, 4)
   axis of symmetry: x = 3
   focus: (3, 8) . . . . . 4 units up from vertex
   directrix: y = 0 . . . horizontal line 4 units down from vertex
 
        
             
        
        
        
Environmental measurement is the answer
        
             
        
        
        
Answer:
   see below
Step-by-step explanation:
Put -1 where x is in each expression and evaluate it.
__
You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...
   (x +1)
Substituting x=-1 into this factor makes it be ...
   (-1 +1) = 0
__
Evaluating the first expression, we have ...

This first expression is one you want to "check."
You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)
 
        
             
        
        
        
By substitution,



and so on, so that
[tex]g(n)=6.1^{n-1}g(1)=2.7\cdot6.1^{n-1}
 
        
                    
             
        
        
        
486 - 9 + 6 + 3³ · 2 = 477 + 6 + 27 · 2 = 483 + 54 = 537