Let's substitute \( x = 4 \) into each of the classmates' expressions and calculate the results:
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Eleanor's Expression: \( 5x - 10 \) \[ 5(4) - 10 = 20 - 10 = 10 \]
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Parker's Expression: \( 5x^2 + 3 \) \[ 5(4^2) + 3 = 5(16) + 3 = 80 + 3 = 83 \]
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Nellie's Expression: \( 5x - 40 \) \[ 5(4) - 40 = 20 - 40 = -20 \]
Now, let's summarize the results:
- Eleanor: \( 10 \)
- Parker: \( 83 \)
- Nellie: \( -20 \)
From these calculations, Parker produced the largest value of \( 83 \).
So, the final answer is:
- Eleanor would get a result of 10,
- Parker would get a result of 83,
- Nellie would get a result of -20.
The expression produced the largest value is Parker's: \( 5x^2 + 3 \).