The manufacturer tracks its costs, which is the amount it spends to produce the boards, and its revenue, which is the amount it earns through sales of its boards. A skateboard manufacturer introduces a new line of boards. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format,
Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the The LCD in this instance is found by multiplying together the x, x, one factor of ( x − 1 ), ( x − 1 ), and the 3. An effective way to remember this is to write factored and binomial denominators in parentheses, and consider each parentheses as a separate unit or a separate factor. The x x in the first denominator is separate from the x x in the ( x − 1 ) ( x − 1 ) denominators. (Note the parentheses placed around the second denominator.) Only the last two denominators have a common factor of ( x − 1 ). We then have x, x, ( x − 1 ), ( x − 1 ), and 3 ( x − 1 ) 3 ( x − 1 ) as the denominators. For example, suppose a problem has three terms and the denominators are x, x, x − 1, x − 1, and 3 x − 3.
Always consider a binomial as an individual factor-the terms cannot be separated. 21 − 10 = 44 x 11 = 44 x 11 44 = x 1 4 = xĪ common mistake made when solving rational equations involves finding the LCD when one of the denominators is a binomial-two terms added or subtracted-such as ( x + 1 ). 3 ( 7 ) − 2 ( 5 ) = 22 ( 2 x ) Multiply remaining factors by each numerator. If spring break begins March 20 and the trip will cost approximately $2,500, how many hours will she have to work to earn enough to pay for her vacation? If she can only work 4 hours per day, how many days per week will she have to work? How many weeks will it take? In this section, we will investigate problems like this and others, which generate graphs like the line in Figure 1. She arranged for direct deposit of her payroll checks. To earn enough money for the trip, she has taken a part-time job at the local bank that pays $15.00/hr, and she opened a savings account with an initial deposit of $400 on January 15. Write the equation of a line parallel or perpendicular to a given line.Ĭaroline is a full-time college student planning a spring break vacation.Given the equations of two lines, determine whether their graphs are parallel or perpendicular.Solve equations in one variable algebraically.
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