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Chapter 2: Q. 17 (page 101)

State whether each equation or function is linear. Write yes or no. If
no, explain your reasoning.

3x2-y=6

Short Answer

Expert verified

No, the equation is not linear. It is not of the formy=mx+b.

Step by step solution

01

Step 1. Defining the linear equation

By definition, we have that a linear equation is of the form y=mx+b.

02

Step 2. Simplifying the given equation

We have:

3x2鈭�y=6y=3x2鈭�6y=ax2+bx+c

03

Step 3. Determining the final equation

The given equation is not a linear equation; it is not of the form y=mx+b. It is a quadratic equation.

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Most popular questions from this chapter

Which of the functions fx=2x+4,gx=7and hx=x3-x2+3xis not linear.

If AC炉is 2 units, what is the value of t?

Find the reciprocal of each number.

-1.25

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

2x-6y=12

Write each equation in standard form. Identify A, B and C.

0.25x=0.1+0.2y
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