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3 years ago

what is the type of conic section is given by the equation x^2-9y^2=900 an waht is the domain and range?

Mathematics

1 answer:

Talja [164]3 years ago

8 0

When the squared terms are of different signs, the equation generally describes a hyperbola. This one has its vertices at x=±30, so the parameters of interest are
domain: (-∞, -30] ∪ [30, ∞)
range: (-∞, ∞)

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3 years ago

If exactly 180 people sign up for a charter flight, Leisure World Travel Agency charges $298/person. However, if more than 180 p

lesantik [10]

Answer:

The max. revenue is $57,121.

This happens with 239 passengers.

The price of the ticket is $239 per person.

Step-by-step explanation:

Let the variable "P" denote the number of passengers.

If P=180, then the ticket cost is $298/person. Then the price is reduced by $1 for each additional person.

In general, if P=(180+x), then the ticket cost becomes (298-x) per person.

The revenue can be defined as the ticket cost multplied by the number of passengers:

$R=P*T=(180+x)(298-x)=53,640-180x+298x-x^2\\\\R(x)=-x^2+118x+53,640$

We can derive R and equal to zero to maximize the function.

$dR/dx=-2x+118=0\\\\x=118/2=59$

The amount of passengers is:

$P=180+x=180+59=239$

The price of the tickets is

$T=298-59=239$

The revenue is:

$R(59)=(180+59)(298-59)=239*239\\\\R(59)=57,121$

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3 years ago

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2 years ago

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3 years ago

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Answer:

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