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Chapter 2: Q. 11 (page 126)

Graph the equation:

3x-2y=12

Short Answer

Expert verified

The graph of the given equation is:

Step by step solution

01

Step 1. Given Information

The given equation is3x-2y=12

02

Step 2. Make a table for values

Writing the equation in terms of y, we get:

3x-2y=122y=3x-12y=32x-6

Table of values for xand yis:

x
y=32x-6
0
y=32脳0-6y=-6
1
role="math" localid="1645949411197" y=32脳1-6y=32-6y=-92
2
y=32脳2-6y=3-6y=-3
3
y=32脳3-6y=92-6y=-32
03

Step 3. Graph the function

Plotting these points on the same cartesian plane and joining them to find them, we get:

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Most popular questions from this chapter

A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure.

(a) Express the area A of the rectangle as a function of the radius r of the semicircle.

(b) Express the perimeter p of the rectangle as a function of r.

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

A wire 10meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle.

Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle.

Part (b): What is the domain of A?

Part (c): Graph A=Ax. For what value of xis Asmallest?

In Problems 7鈥�18, match each graph to one of the following functions:

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x
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