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Q9.

Expert-verified

Algebra 1

Found in: Page 179

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Find the root of each of each equation.
$x + 8 = 0$

The root of equation $x + 8 = 0$ is $x = - 8$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the concept of solving an equation.

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. Values of x for which $f (x) = 0$ are called roots of the function which is located at the x-intercept of the function.

Step 2. Rewrite the equation.

In order to solve the given equation $x + 8 = 0$ , for the unknown variable, isolate the variable term on one side by performing some basic algebraic operations to get rid of other numbers and terms associated with it.

Here to isolate x on left side, first subtract 8 from both side and then simplify further as shown below,

$x + 8 = 0 x + 8 - 8 = - 8$

Step 3. Simplify further for x.

Simplify the equation and get,

$x + 8 - 8 = - 8 x = - 8$

Most popular questions for Math Textbooks

Find the slope of the line that passes through the pair of points.

x	y
2.6	$- 2$
3.1	4

Find the slope of the line that passes through each pair of points.

$(6, - 3), (6, 4)$

Find the root of each equation.

$0 = 2 x + 8$

The number of people who watch a singing competition can be given by $p = 0.15 v$ , where $p$ represents the number of people in millions who saw the show and $v$ is the number of potential viewers in millions.

a. Make a table of values for the points $(v, p)$ .

b. Graph the equation.

c. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.

d. Explain why it would not make sense for $v$ to be a negative number.

Solve each equation.

$25 x - 225 = 0$

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