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.
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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(52817) (Show Source):
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 ?