Pregunta
What is the value of the expression below when \( z=3 \) ? \[ 10 z^{2}+7 z+4 \]
Ask by Olson Summers. in the United States
Mar 12,2025
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When \( z=3 \), the expression \( 10 z^{2}+7 z+4 \) equals 115.
Solución
Evaluate the expression by following steps:
- step0: Evaluate:
\(10z^{2}+7z+4\)
- step1: Substitute:
\(10\times 3^{2}+7\times 3+4\)
- step2: Multiply the terms:
\(90+7\times 3+4\)
- step3: Multiply the numbers:
\(90+21+4\)
- step4: Add the numbers:
\(115\)
The value of the expression \( 10 z^{2}+7 z+4 \) when \( z=3 \) is \( 115 \).
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To find the value of the expression \( 10 z^{2}+7 z+4 \) when \( z=3 \), we simply substitute \( z \) with \( 3 \). First, calculate \( z^2 \): \[ z^2 = 3^2 = 9 \] Now substitute \( z \) in the expression: \[ 10(9) + 7(3) + 4 \] Calculating each term: \[ 10(9) = 90 \] \[ 7(3) = 21 \] Now, adding them together: \[ 90 + 21 + 4 = 115 \] Thus, the value of the expression when \( z=3 \) is \( 115 \).
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