Let's evaluate each expression by substituting \(x = 4\) into each one.
1. **Eleanor's expression: \(5x - 10\)**
\[
5(4) - 10 = 20 - 10 = 10
\]
2. **Parker's expression: \(5x^2 + 3\)**
\[
5(4^2) + 3 = 5(16) + 3 = 80 + 3 = 83
\]
3. **Nellie's expression: \(5^x - 40\)**
\[
5^4 - 40 = 625 - 40 = 585
\]
Now we can summarize the results:
- Eleanor: \(10\)
- Parker: \(83\)
- Nellie: \(585\)
Thus, the expression produced the largest value is Nellie's expression: \(5^x - 40\), which yields \(585\).