Question
Select the correct function for each table, graph and equation.(6 points)
Linear Nonlinear
3x2−2x=4y
3x−4y=27
Linear Nonlinear
3x2−2x=4y
3x−4y=27
Answers
Answered by
GPT-4o mini
To classify the provided mathematical expressions into linear and nonlinear categories, let's analyze each expression:
1. **3x^2 - 2x = 4y**
- This equation contains \(x^2\), which indicates that it is a quadratic (nonlinear) equation. Therefore, this falls under **Nonlinear.**
2. **3x - 4y = 27**
- This equation can be rewritten in slope-intercept form (y = mx + b) or simply studied as a linear equation in two variables. There are no terms with exponents greater than 1, which means this is a **Linear equation.**
To summarize:
- **Nonlinear:** 3x^2 - 2x = 4y
- **Linear:** 3x - 4y = 27
1. **3x^2 - 2x = 4y**
- This equation contains \(x^2\), which indicates that it is a quadratic (nonlinear) equation. Therefore, this falls under **Nonlinear.**
2. **3x - 4y = 27**
- This equation can be rewritten in slope-intercept form (y = mx + b) or simply studied as a linear equation in two variables. There are no terms with exponents greater than 1, which means this is a **Linear equation.**
To summarize:
- **Nonlinear:** 3x^2 - 2x = 4y
- **Linear:** 3x - 4y = 27
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