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Reika [66]
2 years ago
5

Danny charges $22 for 2 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?

Mathematics
2 answers:
Georgia [21]2 years ago
7 0

Answer:

danny

Step-by-step explanation:

Danny charges $11 a hour while martin charges $18 a hour

KonstantinChe [14]2 years ago
5 0

Answer:

Danny offers a better deal

Step-by-step explanation:

Because you have to find out how much each person is charging for each hour of swimming lessons divide Danny's $22 by 2 to get $11 for one hour. And divide Martin's $90 by 5 to get $18 for one hour. Danny is giving you a better deal than Martin.

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Answer:

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Step-by-step explanation:

* Lets explain how to solve this problem

- The equation of the hyperbola is x² - 4y² - 2x + 16y - 31 = 0

- The standard form of the equation of hyperbola is

  (x - h)²/a² - (y - k)²/b² = 1 where a > b

- So lets collect x in a bracket and make it a completing square and

  also collect y in a bracket and make it a completing square

∵ x² - 4y² - 2x + 16y - 31 = 0

∴ (x² - 2x) + (-4y² + 16y) - 31 = 0

- Take from the second bracket -4 as a common factor

∴ (x² - 2x) + -4(y² - 4y) - 31 = 0

∴ (x² - 2x) - 4(y² - 4y) - 31 = 0

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∵ √x² = x

∴ The 1st term in the bracket is x

∵ 2x ÷ 2 = x

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∵ The 1st term is x

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∴ The bracket is (x - 1)²

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   the bracket to keep the equation as it

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- We will do the same withe bracket of y

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∵ √y² = y

∴ The 1st term in the bracket is x

∵ 4y ÷ 2 = 2y

∴ The product of the 1st term and the 2nd term is 2y

∵ The 1st term is y

∴ the second term = 2y ÷ y = 2

∴ The bracket is 4(y - 2)²

∵ 4(y - 2)² = 4(y² - 4y + 4)

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- Lets put the equation after making the completing square

∴ (x - 1)² - 1 - 4[(y - 2)² - 4] - 31 = 0 ⇒ simplify

∴ (x - 1)² - 1 - 4(y - 2)² + 16 - 31 = 0 ⇒ add the numerical terms

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∵ 16 = (4)² and 4 = (2)²

∴ The standard form of the equation of the hyperbola is

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