Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Chapter A.3, Problem 27E
To determine
To find: The factors of the polynomial
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#3 problem
Consider the following approach to factoring the problem(x - 2)2 + 3(x - 2) - 10.(x - 2)2 + 3(x - 2) - 10= y2 + 3y - 10 Replace x - 2 with y= ( y + 5)( y - 2) Factor= (x - 2 + 5)(x - 2 - 2) Replace y with x - 2= (x + 3)(x - 4) Use this approach to factor (x - 3)2 + 10(x - 3) + 24
According to a study, each additional year of education increases one's income by 15%. Therefore, with x extra years of education, your income will be multiplied by a factor of
1.15x.
How many additional years of education are required to double your income? That is, find the x that satisfies
1.15x = 2.
(Round your answer to one decimal place.) yr
Chapter A.3 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. A.3 - Factor out all factors common to all terms....Ch. A.3 - Prob. 2MPCh. A.3 - Prob. 3MPCh. A.3 - Factor completely: (A)x2+6xy+9y2 (B)9x24y2 (C)8m31...Ch. A.3 - Factor completely. (A)18x38x (B)4m3n2m2n2+2mn3...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 3ECh. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - Prob. 5E
Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 18, factor out all factors common to...Ch. A.3 - In Problems 918, factor by grouping. 9.2x2x+4x2Ch. A.3 - In Problems 918, factor by grouping. 10.x23x+2x6Ch. A.3 - In Problems 918, factor by grouping. 11.3y23y+2y2Ch. A.3 - In Problems 918, factor by grouping. 12.2x2x+6x3Ch. A.3 - In Problems 918, factor by grouping. 13.2x2+8xx4Ch. A.3 - In Problems 918, factor by grouping. 14.6x2+9x2x3Ch. A.3 - In Problems 918, factor by grouping. 15.wywz+xyxzCh. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping....Ch. A.3 - In Problems 918, factor by grouping. 18.ab+6+2a+3bCh. A.3 - Prob. 19ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 36ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 39ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 45ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 47ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 50ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 53ECh. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - In Problems 956, factor completely. If a...Ch. A.3 - Prob. 57ECh. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...Ch. A.3 - In Problems 5760, discuss the validity of each...
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- Consider the following approach to factoring the problem(x - 2)2 + 3(x - 2) - 10.(x - 2)2 + 3(x - 2) - 10= y2 + 3y - 10 Replace x - 2 with y= ( y + 5)( y - 2) Factor= (x - 2 + 5)(x - 2 - 2) Replace y with x - 2= (x + 3)(x - 4) Use this approach to factor 15(x + 2)2 - 13(x + 2) + 2arrow_forwardAnswer the following question: show all of your work to solve the problem. 1C94sixteen + A5B2sixteen =___________________arrow_forwardAccording to a study, each additional year of education increases one's income by 18%. Therefore, with x extra years of education, your income will be multiplied by a factor of 1.18x. How many additional years of education are required to double your income? That is, find the x that satisfies 1.18x = 2. (Round your answer to one decimal place.) Yrs=arrow_forward
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