ya540126 ya540126
  • 17-06-2021
  • Mathematics
contestada

Y is directly proportional to
the square of (x - 1). y=63
when x=4. find the value of y
when x=6.

Respuesta :

olayemiolakunle65
olayemiolakunle65 olayemiolakunle65
  • 22-06-2021

Answer:

y = 100

Step-by-step explanation:

y [tex]\alpha[/tex] [tex](x -1)^{2}[/tex]

y = c ([tex]x^{2}[/tex] - 2x + 1)

When y = 63, x = 4;

63 = c ([tex]4^{2}[/tex] - 2(4) + 1)

     = 9c

63 = 9c

c = [tex]\frac{63}{9}[/tex]

c = 7

Thus,

y = 4([tex]x^{2}[/tex] - 2x + 1)

The value of y when x = 6 can be determined as;

y = 4([tex]6^{2}[/tex] - 2(6) + 1)

   = 4(25)

y = 100

Therefore, y = 100

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