
Step-by-step explanation:
Given

So

Hence,

Keywords: functions, Function composition
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Answer:
x = 24
Step-by-step explanation:
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For both Carnivals to have the same cost, 10 tickets will have to be purchased.
Carnival M :
Entrance fee = $5.00
Cost per ticket = $0.50
Carnival P :
Entrance fee = $7.00
Cost per ticket = $0.30
Let the Number of ticket = n
Cost of n Carnival M tickets :
5 + 0.50n - - - (1)
Cost of n Carnival P tickets :
7 + 0.30n - - - (2)
Value of n in other to have the same price :
(1) = (2)
5 + 0.50n = 7 + 0.30n
Collect like terms
0.50n - 0.30n = 7 - 5
0.20n = 2
Divide both sides by 0.20
n = 2 / 0.20
n = 10
Therefore, 10 tickets has to be purchased for both Carnivals to have the same cost.
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Answer:
The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.
Step-by-step explanation:
Sum refers to addition and difference refers to subtraction.