Question
Evaluate the expression when \( x=3 \) and \( z=9 \). Simplify your answer completely. \[ 4 x^{3}+\pi \]
Ask by Campos Cole. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When \( x=3 \), the expression \( 4x^{3}+\pi \) simplifies to \( 108+\pi \).
Solution
Substitute \( x=3,z=9 \) into the expression \( 4x^3+\pi \).
Evaluate the expression by following steps:
- step0: Evaluate:
\(4x^{3}+\pi \)
- step1: Substitute:
\(4\times 3^{3}+\pi \)
- step2: Multiply the terms:
\(108+\pi \)
When \( x=3 \) and \( z=9 \), the expression \( 4x^{3}+\pi \) simplifies to \( 108+\pi \).
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Simplify this solution Bonus Knowledge
To evaluate the expression \( 4 x^{3} + \pi \) when \( x = 3 \), we start by substituting \( x \) with 3: \[ 4(3)^{3} + \pi \] Now, calculate \( (3)^{3} \), which is \( 27 \): \[ 4 \cdot 27 + \pi \] Now multiply \( 4 \) and \( 27 \): \[ 108 + \pi \] Thus, the expression simplifies to: \[ 108 + \pi \] So, when \( x = 3 \), the evaluated expression is \( 108 + \pi \).
