Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 1.6, Problem 70STP
To determine
To solve: the given equation for y . Check the result.
Expert Solution & Answer
Answer to Problem 70STP
The value of y in the given equation is y=5 or y=−353 .
Explanation of Solution
Given information:
Given equation
|3y+10|=25
Concept used:
Absolute value of a function a is given by
|a|={a a>0−a a<00 a=0
And
|−a|=a|a|=a
More over
|x+a|=b⇒x+a=b or x+a=−b
Calculation:
Consider the given equation,
|3y+10|=25
Now, solve the equation as shown,
|3y+10|=253y+10=25 or 3y+10=−253y+10−10=25−10 or 3y+10−10=−25−103y=15 or 3y=−35y=153 or y=−353y=5 or y=−353
Now, check the result by back substitution.
|3(5)+10|=25|15+10|=25|25|=2525=25
And
|3(−353)+10|=25|−35+10|=25|−25|=2525=25
Which is true.
Hence, the value of y in the given equation is y=5 or y=−353 .
Chapter 1 Solutions
Algebra 2
Ch. 1.1 - Prob. 1ACYPCh. 1.1 - Prob. 1BCYPCh. 1.1 - Prob. 2ACYPCh. 1.1 - Prob. 2BCYPCh. 1.1 - Prob. 2CCYPCh. 1.1 - Prob. 3CYPCh. 1.1 - Prob. 1CYUCh. 1.1 - Prob. 2CYUCh. 1.1 - Prob. 3CYUCh. 1.1 - Prob. 4CYU
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- Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
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