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 
:
-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 
.
