SOLUTION: 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. Suppose

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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.
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?

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​%?
3. Solve the Equation.
|5/(x-3)| = 12
4.Determine whether ​(4​,9​) is a solution of 14x-y-4=0.
5. Determine whether ​(1​,4​) is a solution of (x+2)²-(y-1)² = -4.

Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

One and only one problem per post.


It is the rule of this forum.


Those who violate this rule, work against their best interests.


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Comment from student: I am sorry I missed the rule. I thought it could be 5 problems per post and/or day.
Can you help me with this. Solve the Equation. |5/(x-3)| = 12
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My response.

There are many ways to solve it.


I will show you here the shortest way.


The equation  |5/(x-3)| = 12  is equivalent to 


|x-3| = .


The solutions are those values of x that are remoted exactly at  of a unit from the number 3 (from the point 3 in the number line.


So the solutions are  x= 3 + 5/12 =   and  x= 3 - 5/12 = .

Solved.

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Do you understand this solution ? Do you have questions ?

On solving absolute value equations see the lessons
    - Absolute Value equations
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3
    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2
    - OVERVIEW of lessons on Absolute Value equations

Read them attentively and become an expert in this area.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Solving Absolute values equations".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



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