Question

Which of the following is an equivalent expression to 6 · (1 0.40)2x?

1) 6 · (2.8)x
2) 6 · (1.96)x
3) 36 · (1.4)x
4) 12 · (1.4)x

Answer 1

The equivalent expression to 6 · (1 0.40)2x is 36 · (1.4)^x.

Step-by-step explanation:

To find the equivalent expression, we can simplify each term separately. First, let's simplify (1.0 - 0.40), which is equal to 0.60. Next, we have (0.60)^2, which is equal to 0.36. Finally, we multiply 6 by 0.36 and raise it to the power of x. So, the equivalent expression is 6 · (0.36)^x, which matches option 3 36 · (1.4)^x.