document.write( "Question 1122753: 1. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then answer the question.
\n" ); document.write( "Suppose a baseball is thrown at 87 miles per hour. The ball will travel 352 feet when hit by a bat swung at 53 miles per hour and will travel 476 feet when hit by a bat swung at 84 miles per hour. Let y be the number of feet traveled by the ball when hit by a bat swung at x miles per hour. How much farther will a ball travel for each​ mile-per-hour increase in the speed of the​ bat?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. A tank holds 360 liters of a chemical solution.​ Currently, the solution has a strength of 10 %. How much of this should be drained and replaced with 100​% solution to get a final strength of 30​%?\r
\n" ); document.write( "\n" ); document.write( "3. Solve the Equation.
\n" ); document.write( "|5/(x-3)| = 12\r
\n" ); document.write( "\n" ); document.write( "4.Determine whether ​(4​,9​) is a solution of 14x-y-4=0.\r
\n" ); document.write( "\n" ); document.write( "5. Determine whether ​(1​,4​) is a solution of (x+2)²-(y-1)² = -4.
\n" ); document.write( "

Algebra.Com's Answer #738916 by ikleyn(52832)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "

One and only one problem per post.

\r
\n" ); document.write( "\n" ); document.write( "It is the rule of this forum.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Those who violate this rule, work against their best interests.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "------------------
\n" ); document.write( "Comment from student: I am sorry I missed the rule. I thought it could be 5 problems per post and/or day.
\n" ); document.write( "Can you help me with this. Solve the Equation. |5/(x-3)| = 12
\n" ); document.write( "------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My response. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "There are many ways to solve it.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "I will show you here the shortest way.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The equation  |5/(x-3)| = 12  is equivalent to \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "|x-3| = \"5%2F12\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The solutions are those values of x that are remoted exactly at \"5%2F12\" of a unit from the number 3 (from the point 3 in the number line.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the solutions are  x= 3 + 5/12 = \"3\"\"5%2F12\"  and  x= 3 - 5/12 = \"2\"\"7%2F12\".\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Do you understand this solution ? Do you have questions ?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On solving absolute value equations see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Absolute Value equations\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2 \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Absolute Value equations \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them attentively and become an expert in this area.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic
\n" ); document.write( "\"Solving Absolute values equations\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );