Question

Translate the following verbal statement into an algebraic expression: Use x for your variable. Three less than the quotient of a number cubed and eleven.

Answer 1

To translate the verbal statement "Three less than the quotient of a number cubed and eleven" into an algebraic expression using x as the variable, the expression becomes (x^3 / 11) - 3.

Step-by-step explanation:

To translate the verbal statement "Three less than the quotient of a number cubed and eleven" into an algebraic expression using x as the variable, we can break it down into three parts.

1. First, substitute "a number" with x, so the expression becomes x cubed.
2. Next, divide x cubed by eleven to find the quotient.
3. Finally, subtract three from the quotient to get the final expression.

The algebraic expression for the given verbal statement is (x^3 / 11) - 3.