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yan [13]
2 years ago
6

A football stadium is capable of seating a maximum of m fans. For each game, the

Mathematics
1 answer:
klasskru [66]2 years ago
5 0

Answer:

The revenue depends on the number of people n that purchases tickets, knowing that each ticket costs $30.00, the total revenue will be:

f(n) = $30.00*n

Now, we also know that the stadium is capable of seating a maximum of m fans, so the maximum possible value for n is m.

Now, for the function f(n), we have that:

The domain is the set of the possible values of n

The range is the set of the possible values of f(n).

We want to find the domain.

First, the minimum possible value of n is 0, the case where nobody purchases a ticket.

The maximum possible value of n is m, this is the case where the stadium is full.

Then the domain will be:

D= {n,m ∈ Z, 0 ≤ n ≤ m}

Where we imposed that n must be an integer number because n represents a whole quantity.

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about the second one... well, is a "fait accompli" that using the pythagorean theorem, if x = 8 and y = 5, the hypotenuse must be √(8² + 5²) = √(89), which is neither of those choices.

5, 8, 13 are no dice, namely 5² + 8² ≠ 13

25, 64, 17 is are no dice too, because 25² + 17² ≠ 64²

however, 5,12 and 13 are indeed a pythagorean triple

also is 39, 80, 89.

when looking for a pythagorean triple, recall that c² = a² + b².

so the longest leg is the sum of the square of the small ones.

so what you'd do is, check the small legs, square them, add them up, if they're indeed a pythagorean triple, they "must" add up to the longest leg.

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