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Chapter 3: Q13. (page 179)

Solve each equation by graphing.

鈭�5x+35=0

Short Answer

Expert verified

The solution of equation 鈭�5x+35=0is x=7.

Step by step solution

01

Step 1. State the Concept of solving an equation by graphing.

A linear function is a function whose graph is a straight line. The solution or root of an equation is any value that makes the equation true. A linear equation has at most one root. Root of an equation can be calculated by graphing the related function. To write the related function for an equation, replace 0 with fx.

02

Step 2. Write the related function.

Since the equation is given to be 鈭�5x+35=0, therefore, its related function will be 鈭�5x+35=fx. To graph the function, make a table.

x

fx=鈭�5x+35

fx

(x,fx)

7

f7=鈭�57+35=0

0

7,0

5

f5=鈭�55+35=10

10

5,10

03

Step 3. Plot the function.

Graph the equation 鈭�5x+35=fxby plotting the values from the table and get:

The graph intersects the x-axis at 7. So, the solution is x=7.

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Most popular questions from this chapter

Graph each equation.

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The average cost of online photos decreased from \(0.50per print to \)0.27 per print between 2002 and 2007. Find the average rate of change in the cost. Explain what it means.

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The table shows the cost of picking your own strawberries at a farm.

Number of Pounds
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width="189">a=鈭�5,b=鈭�5,c=5,d=8
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