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14.11.2019 •
Mathematics
7. the function y = 60 - 8x represents the amount y (in dollars) of money you have arter
buying x movie tickets. (a) find the domain of the function. is the domain discrete or continuous
explain. (b) graph the function using its domain.
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Ответ:
This function has a couple of restrictions:
y can't be less than zero, because when you have no money left you can't buy any more ticketsx must be a positive integer, because you can't buy a negative of fractional amount of tickets.With these constraints in mind, we can explicitly write all the possible (x,y) couples:
Where x is the number of tickets bought and y is the amount of money you're left with. So, if you buy no tickets, you still have all your $60. If you buy 1 ticket you're left with $52. If you buy 2 tickets, you're left with $44, and so on.
This table shows that the domain is the set
And the range is the set
And they are both discrete. To graph the function, simply draw all the (x,y) couples on a coordinate grid.
Ответ:
m --> 2a = pi.r²
2*9pi = pi.r²
18pi = pi.r²
r² = 18
m = pi.r²
m = 18pi