Answer:
Step-by-step explanation:
Charges up to 20 passengers = $540 per person per day
Total charges = 540 × 20 = $10800
If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)
Total revenue = $(20+x)
But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x
R(x) = 10800 + 540x - 7x
R(x) = 10800 + 533x
a). Revenue per day realized R = 10800 + 533x
b). R(48) = 10800 + 48×533
               = $36,384
C). R(78) = 10800 + 78×543
               = $53,154
 
        
             
        
        
        
Answer:
± x . x−3=±6 x - 3 = ± 6
Step-by-step explanation:
 
        
             
        
        
        
Answer:
g(x) is a vertical compression of f(x)
Step-by-step explanation:
Equation of graph 1 :
Equation of graph 2 :
f(x)→a f(x)
Its is case of vertical stretch or compression
Vertical stretch if |a|>1
Vertical compression if 0<|a|<1
f(x)→a f(x)
So,  →
 →
So, 
So,0<|a|<1
So,It is a case of vertical compression
So, g(x) is a vertical compression of f(x)
 
        
             
        
        
        
Answer:
   20 visits
Step-by-step explanation:
The club that charges $40 more for enrollment charges $2 less per visit. The savings on visits is equal to the extra enrollment charge when the number of visits is 40/2 = 20.
For 20 visits, the cost at both clubs is the same.
__
If you let v represent the number of visits, ...
   A = 60 +2v . . . . cost at club A
   B = 20 +4v . . . . cost at club B
   A = B   ⇒   60 +2v = 20 +4v . . . . . . costs are the same for "v" visits
   40 = 2v . . . . . . . subtract 20+2v from both sides
   40/2 = v = 20 . . . . . . same as "word solution" above
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Solve for the value of  :
:

-Use <u>Distributive Property</u>:


-Combine like terms:


-Take  and subtract it from
 and subtract it from  :
:


-Subtract both sides by  :
:


-Divide both sides by  :
:


-Reduce the fraction to the lowest term by extracting and canceling out  :
:


Therefore, the value of  is
 is  .
.