Using a graph tool
see the attached figure
<span>let's graph all the cases to verify the answer
case A) f(x)=(3</span><span>^x)-2
case B) </span>f(x)=(4^x)-2
case C) f(x)=4^(x-2)
case D)  f(x)=4^(x-2) +2------> this is the solution
the answer is the option D
 
        
        
        
Foil the binomials
First: n*n=n^2
Outer: n*-5=-5n
Inner: -3*n=-3n
Last: -3*-5=15
Put it together and simplify
n^2-5n-3n+15
n^2-8n+15
Final answer: A
        
             
        
        
        
Let
x-----------> the number of kids
y----------> the number of adults
we know that
2.5x+6y=$7150---------> equation 1
x=2y-------------> equation 2
substitute 2 in 1
2.5*[2y]+6y=7150-----> 5y+6y=7150----> 11y=7150-----> y=650
x=2y----> x=2*650----> 1300
the answer is
the number of kids is 1300
        
             
        
        
        
Four hundreds two tens and three ones
        
                    
             
        
        
        
Answer:
 $600
Step-by-step explanation:
Let "x" represent their total budget for the film.
Amount spent on costumes = $330
Percent spent on costumes = 55% 
Therefore:
55% of x = $330
55/100 × x = 330
55x/100 = 330
Cross multiply
55x = 100 × 330
55x = 33,000
Divide both sides by 55
x = 33,000/55
x = 600
Total budget = x = $600