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Chapter 3: Q10. (page 201)

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.

In the linear equation4x+3y=12,the constant term is 12.

Short Answer

Expert verified

False.The constant term is -12.

Step by step solution

01

Step 1. State the equation of a straight line.

The general form of a straight line is given by, Ax+By+C=0, where, A and B are the coefficients of x and y respectively, C is the constant term.

02

Step 2. Find the general form of the given equation.

Compare the given equation with the general form of the equation of a straight line.

Simplify,

4x+3y=124x+3y−12=12−124x+3y−12=0

03

Step 3. Conclusion.

It is false because the general form of a linear equation is always in the form of Ax+By+C=0, where C is the constant term. Here,-12 is the constant term.

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Most popular questions from this chapter

The distance d in kilometers that sound waves travel through water is given byd=1.6t, where t is the time in seconds.

  1. Make a table of values and graph the equation.
  2. Use the graph to estimate how far sound can travel through water in 7 seconds.

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

The x-coordinate of the point at which the graph of an equation crosses the x-axis is an x-intercept.

Find the root of each equation.

6x+3=0

Write an equation for the term of each arithmetic sequence.

a1=6,d=5

Find the x- and y- intercepts of the graph.

F x-intercept is 0; y- intercept is 150.

G x-intercept is 150; y- intercept is 0.

H x-intercept is 150; no y- intercept.

J No x-intercept; y- intercept is 150.
See all solutions

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