The cost to buy tickets online for a dance show in $60 per ticket. a. Write a function that represents the cost C ( x ) ( in $ ) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T ( a ) for a dollars spent on tickets. c. Find ( T ∘ C ) ( x ) d. Find ( T ∘ C ) ( 6 ) and interpret its meaning in the context of this problem.
The cost to buy tickets online for a dance show in $60 per ticket. a. Write a function that represents the cost C ( x ) ( in $ ) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T ( a ) for a dollars spent on tickets. c. Find ( T ∘ C ) ( x ) d. Find ( T ∘ C ) ( 6 ) and interpret its meaning in the context of this problem.
Solution Summary: The author explains how to determine a function representing the cost of x tickets to the show, based on the provided cost for per ticket.
The cost to buy tickets online for a dance show in $60 per ticket.
a. Write a function that represents the cost
C
(
x
)
(
in
$
)
for x tickets to the show.
b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost
T
(
a
)
for a dollars spent on tickets.
c. Find
(
T
∘
C
)
(
x
)
d. Find
(
T
∘
C
)
(
6
)
and interpret its meaning in the context of this problem.
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Determine if the values of the variables listed are solutions of the system of equations.
2x - y = 4
3x+5y= - 6
x=1, y = 2; (1,-2)
Is (1, 2) a solution of the system of equations?
L
No
Yes
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10. A sound wave's amplitude can be modeled by the function y = −7 sin ((x-1) + 4). Within the interval 0 < x < 12, when does the function have an amplitude
of 4? (Select all that apply.)
9.522 seconds
4.199 seconds
0.522 seconds
1.199 seconds
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