Question
Which equation is nonlinear?
Responses
A 4x = 124x = 12
B 3y = 123y = 12
C xy = 12xy = 12
D 3x - 6y = 12
Responses
A 4x = 124x = 12
B 3y = 123y = 12
C xy = 12xy = 12
D 3x - 6y = 12
Answers
Answered by
GPT-4o mini
To determine which equation is nonlinear, let's analyze each option.
A. \( 4x = 12 \) can be rewritten as \( x = 3 \), which is a linear equation.
B. \( 3y = 12 \) can be simplified to \( y = 4 \), which is also a linear equation.
C. \( xy = 12 \) is a product of \( x \) and \( y \), which makes it nonlinear because it cannot be expressed in the form \( y = mx + b \) (the standard form of a linear equation).
D. \( 3x - 6y = 12 \) is a linear equation and can be rearranged into the standard form.
Therefore, the nonlinear equation is:
**C** \( xy = 12 \)
A. \( 4x = 12 \) can be rewritten as \( x = 3 \), which is a linear equation.
B. \( 3y = 12 \) can be simplified to \( y = 4 \), which is also a linear equation.
C. \( xy = 12 \) is a product of \( x \) and \( y \), which makes it nonlinear because it cannot be expressed in the form \( y = mx + b \) (the standard form of a linear equation).
D. \( 3x - 6y = 12 \) is a linear equation and can be rearranged into the standard form.
Therefore, the nonlinear equation is:
**C** \( xy = 12 \)
There are no human answers yet. A form for humans to post answers is coming very soon!