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Is the equation y = 10 - 5x - 3x² linear? Why or why not?

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Final answer:

The equation y = 10 - 5x - 3x² is not linear because it contains a term with a variable raised to the power of 2 (x²), which makes it a quadratic equation.

Step-by-step explanation:

The equation y = 10 - 5x - 3x² is not linear because it contains a term with a variable raised to the power of 2 (x²), which makes it a quadratic equation. In a linear equation, the highest power of the variable is 1. The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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