To solve the equation 5x^(3)=−135, you would first use the Responce Area1 operation of Responces Area2 by Responce Area3 to get the equation x^(3)=−27. You would then use the inverse operation of x^(3), which is taking the Responce Area4 of both sides. That leaves us Responce Area5 solution(s) for x. The solution(s): x = Responce Area6.

Responce Area1:
Invers
Choice D
Same
Choice C

Responce Area2:
Addition
Multiplacation
Division
Subtraction

Responce Area3:
Dividing by 3
Dividing by 5

Responce Area4:
Cube root
Square root

Responce Area5:
One
Three
Two

Responce Area6:
9
-9
-3
3

1 answer

To solve the equation \(5x^{3} = -135\), you would first use the division operation by dividing by 5 to get the equation \(x^{3} = -27\). You would then use the inverse operation of \(x^{3}\), which is taking the cube root of both sides. That leaves us with one solution for \(x\). The solution(s): \(x = -3\).

So, filling in the response areas:

  • Responce Area1: Invers
  • Responce Area2: Division
  • Responce Area3: Dividing by 5
  • Responce Area4: Cube root
  • Responce Area5: One
  • Responce Area6: -3