Respuesta :

Answer:

  • y = 8/(3√(3x -2))
  • x = 48 2/3

Step-by-step explanation:

When x=34, the root is √(3·34 -2) = √100 = 10. So, we have ...

  4/15 = k/10

  k = 8/3

The equation is ...

  y = 8/(3√(3x -2))

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Solving for x, we get ...

  3x -2 = (8/(3y))^2

  3x = (64/(9y^2)) +2

  x = 64/(27y^2) +2/3

For y = 2/9, this is ...

  x = 64/(27(4/81)) +2/3 = 64·3/4 +2/3

  x = 48 2/3

Answer:

y = 8/(3√(3x -2))

x = 48 2/3

Step-by-step explanation:

x=34, the root is √(3·34 -2) = √100 = 10. So, we have ...

4/15 = k/10

k = 8/3

The equation is ...

y = 8/(3√(3x -2))

Solving for x, we get ...

 3x -2 = (8/(3y))^2

 3x = (64/(9y^2)) +2

 x = 64/(27y^2) +2/3

For y = 2/9, this is ...

 x = 64/(27(4/81)) +2/3 = 64·3/4 +2/3

 x = 48 2/3

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