Determine if 7x2+y=5

Question

Determine if  7x2+y=5
  is a linear or nonlinear function.(1 point)
Resp onses

The function 7x2+y=5
 is a linear function.
The function 7 x squared plus y equals 5 is a linear function.

The function 7x2+y=5
 is a nonlinear function.
The function 7 x squared plus y equals 5  is a nonlinear function.

There is not enough information to determine if 7x2+y=5
 is a linear or nonlinear function.
There is not enough information to determine if 7 x squared plus y equals 5 is a linear or nonlinear function.

The graph of the function 7x2+y=5
 is not a straight line.
The graph of the function 7 x squared plus y equals 5 is not a straight line.

GPT-4o mini · Answer

To determine if the equation $7x^2 + y = 5$ represents a linear or nonlinear function, we can analyze its form. A linear function can be written in the form $y = mx + b$, where $m$ is the slope, and $b$ is the y-intercept. Linear functions represent straight lines when graphed. In the equation $7x^2 + y = 5$, the term $7x^2$ indicates that the function includes a quadratic term (specifically, $x^2$), which makes it a nonlinear function. Therefore, the correct responses would be: - The function $7x^2 + y = 5$ is a nonlinear function. - The function $7 x^2 + y = 5$ is a nonlinear function. - The graph of the function $7x^2 + y = 5$ is not a straight line. - The graph of the function $7 x^2 + y = 5$ is not a straight line. Hence, the statement about it being a nonlinear function is accurate.