Question
Translate the following statement into an algebraic expression: Use \( x \) for your variable. The sum of the cube of a number and nine times the number. T
Ask by Davies Elliott. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( x^3 + 9x \).
Solution
The algebraic expression for "the sum of the cube of a number and nine times the number," using \( x \) as the variable, is:
\[
x^3 + 9x
\]
**Explanation:**
- "The cube of a number" translates to \( x^3 \).
- "Nine times the number" translates to \( 9x \).
- "The sum of" indicates that these two expressions should be added together.
So, combining these parts gives the final expression \( x^3 + 9x \).
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Simplify this solution Mind Expander
The algebraic expression you're looking for can be written as \( x^3 + 9x \). Here, \( x^3 \) represents the cube of the number, and \( 9x \) represents nine times that same number. It's a straightforward combination of these two terms, showcasing how algebra can help us succinctly express mathematical ideas! Now imagine diving into the world of cubic functions and their behaviors! Many real-world scenarios like calculating areas of architectural designs or optimizing production can be modeled using cubic equations. The interplay between the cube of a number and its linear counterpart allows us to make predictions and understand trends in various fields!
