Skill Practice An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL tube. a. Write a function representing the cost C ( x ) ( in $ ) for x tubes of paint. b. There is a 5.5% sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost T ( a ) for a dollars spent in merchandise. c. Find ( T ∘ C ) ( x ) and interpret the meaning in context. d. Evaluate ( T ∘ C ) ( 18 ) and interpret the meaning in context.
Skill Practice An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL tube. a. Write a function representing the cost C ( x ) ( in $ ) for x tubes of paint. b. There is a 5.5% sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost T ( a ) for a dollars spent in merchandise. c. Find ( T ∘ C ) ( x ) and interpret the meaning in context. d. Evaluate ( T ∘ C ) ( 18 ) and interpret the meaning in context.
An artist shops online for tubes of watercolor paint. The cost is $16 for each 14-mL tube.
a. Write a function representing the cost
C
(
x
)
(
in $
)
for x tubes of paint.
b. There is a 5.5% sales tax on the cost of merchandise and a fixed cost of $4.99 for shipping. Write a function representing the total cost
T
(
a
)
for a dollars spent in merchandise.
c. Find
(
T
∘
C
)
(
x
)
and interpret the meaning in context.
d. Evaluate
(
T
∘
C
)
(
18
)
and interpret the meaning in context.
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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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