What is the value of the “5% check” for (0.7 - 3x)3 ≈ (0.7)3 if x = 0.06?

1 answer

To find the value of the "5% check," we need to substitute the given value of x into the equation and evaluate if the left-hand side is approximately equal to the right-hand side.

Let's substitute x = 0.06 into the equation:

(0.7 - 3x)^3 ≈ (0.7)^3

(0.7 - 3(0.06))^3 ≈ (0.7)^3

(0.7 - 0.18)^3 ≈ 0.343

(0.52)^3 ≈ 0.343

0.140608 ≈ 0.343

The left-hand side is not approximately equal to the right-hand side. Hence, the value of the "5% check" for (0.7 - 3x)^3 ≈ (0.7)^3 when x = 0.06 is false.