ashlynhicks9097 ashlynhicks9097
  • 21-10-2019
  • Mathematics
contestada

If x = 3y^4 and y = s/ 2x^3, show that s = 54y^13.

Respuesta :

jimrgrant1 jimrgrant1
  • 21-10-2019

Answer:

see explanation

Step-by-step explanation:

Given

y = [tex]\frac{s}{2x^3}[/tex] ← multiply both sides by 2x³

2x³y = s ← substitute x = 3[tex]y^{4}[/tex] into left side, then

2[tex](3y^4)^{3}[/tex] y = s, thus

s = 2 × 3³ × [tex]y^{12}[/tex] y

  = 2 × 27 × [tex]y^{(12+1)}[/tex]

  = 54[tex]y^{13}[/tex]

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