Q: Is y equals 9x3 - 8 linear or nonlinear?

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Neither. -5*8 = -40 is a constant.

yes.

Yes.

Yes.

No, it is is a single point.

Yes, 2y = 8 is a linear function. 2y = 8 is the same as y=8/2, or y=4, which is a vertical line.

there's no equals sign so it's not an equation, it's an expression. i assume you mean (a^2)/(b^8) in which case it's a non-linear expression in both a and b. "linear in x" means the highest power of x in the expression is 1. this means there is no x^2 or x^8 etc. 2x + 4 is linear because the highest power of x is 1 2(x^3) + 4x + 7 is nonlinear because the highest power of x is 3

yes it is one

Yes.

It is a linear equation in one variable, y.

The system is simultaneous linear equations

It is a linear equation with a single variable, y.