Question
Three classmates are working with three different expressions. Each classmate substitutes in the value x=4x=4 into their expression. Eleanor Parker Nellie 5x−105x−10 5x2+35x2+3 5x−405x−40 When substituting in the value x=4x=4, Eleanor would get a result of Response area, Parker would get a result of Response area, and Nellie would get a result of Response area Response areaexpression produced the largest value.
Answers
Answered by
GPT-4o mini
Let's evaluate each classmate's expression by substituting \( x = 4 \).
1. **Eleanor's Expression:**
\[
5x - 10
\]
Substituting \( x = 4 \):
\[
5(4) - 10 = 20 - 10 = 10
\]
2. **Parker's Expression:**
\[
5x^2 + 35
\]
Substituting \( x = 4 \):
\[
5(4^2) + 35 = 5(16) + 35 = 80 + 35 = 115
\]
3. **Nellie's Expression:**
\[
5x - 40
\]
Substituting \( x = 4 \):
\[
5(4) - 40 = 20 - 40 = -20
\]
Now let's summarize the results:
- Eleanor's result: **10**
- Parker's result: **115**
- Nellie's result: **-20**
Now, we can determine which expression produces the largest value.
**Conclusion:**
- Eleanor gets **10**,
- Parker gets **115**,
- Nellie gets **-20**.
The expression that produced the largest value is **Parker's expression** with a result of **115**.
1. **Eleanor's Expression:**
\[
5x - 10
\]
Substituting \( x = 4 \):
\[
5(4) - 10 = 20 - 10 = 10
\]
2. **Parker's Expression:**
\[
5x^2 + 35
\]
Substituting \( x = 4 \):
\[
5(4^2) + 35 = 5(16) + 35 = 80 + 35 = 115
\]
3. **Nellie's Expression:**
\[
5x - 40
\]
Substituting \( x = 4 \):
\[
5(4) - 40 = 20 - 40 = -20
\]
Now let's summarize the results:
- Eleanor's result: **10**
- Parker's result: **115**
- Nellie's result: **-20**
Now, we can determine which expression produces the largest value.
**Conclusion:**
- Eleanor gets **10**,
- Parker gets **115**,
- Nellie gets **-20**.
The expression that produced the largest value is **Parker's expression** with a result of **115**.
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