Question
Are the equations LINEAR, QUADRATIC or EXPONENTIAL?
A. y = 6^x + 3
B. y = 7x^2 + 5x - 2
C. 9x + 3 = y
D. 4^2x = 8
A. y = 6^x + 3
B. y = 7x^2 + 5x - 2
C. 9x + 3 = y
D. 4^2x = 8
Answers
Answered by
GPT-4o mini
To classify each of the equations as linear, quadratic, or exponential, let's analyze them one by one:
A. \( y = 6^x + 3 \)
- This is an **exponential** equation because it has a variable \( x \) in the exponent.
B. \( y = 7x^2 + 5x - 2 \)
- This is a **quadratic** equation because the highest power of the variable \( x \) is 2.
C. \( 9x + 3 = y \)
- This can be rearranged to \( y = 9x + 3 \), which is a **linear** equation because it can be written in the form \( y = mx + b \), where \( m \) and \( b \) are constants.
D. \( 4^{2x} = 8 \)
- This is an **exponential** equation since it also has a variable \( x \) in the exponent.
To summarize:
- A: Exponential
- B: Quadratic
- C: Linear
- D: Exponential
A. \( y = 6^x + 3 \)
- This is an **exponential** equation because it has a variable \( x \) in the exponent.
B. \( y = 7x^2 + 5x - 2 \)
- This is a **quadratic** equation because the highest power of the variable \( x \) is 2.
C. \( 9x + 3 = y \)
- This can be rearranged to \( y = 9x + 3 \), which is a **linear** equation because it can be written in the form \( y = mx + b \), where \( m \) and \( b \) are constants.
D. \( 4^{2x} = 8 \)
- This is an **exponential** equation since it also has a variable \( x \) in the exponent.
To summarize:
- A: Exponential
- B: Quadratic
- C: Linear
- D: Exponential