Pregunta
Write an expression for the verbal phrase: The product of the square of \( x \) and seven
Ask by Patel Hamilton. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The expression is \( 7x^2 \).
Solución
The verbal phrase "The product of the square of \( x \) and seven" can be translated into an algebraic expression as follows:
1. **Square of \( x \):**
\[
x^2
\]
2. **Product of \( x^2 \) and seven:**
\[
7 \times x^2 \quad \text{or simply} \quad 7x^2
\]
So, the expression is:
\[
7x^2
\]
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Simplifique esta solución The Deep Dive
The expression for the verbal phrase is \( 7x^2 \). This means that you first square the variable \( x \) and then multiply that result by 7 to get the final product. It's a nice way to demonstrate how operations can be combined in algebra! To break it down further, squaring \( x \) means multiplying \( x \) by itself, resulting in \( x^2 \). After that, the product with 7 comes into play, highlighting how algebra can represent real-world relationships succinctly. So, whenever you see such phrases, think of them as algebraic puzzles waiting to be solved!
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