SOLUTION: (11) Cody and Efrim were competing in a road rally. If Cody traveled x^2 - 4 / 3x - 6 in the first hour and Efrim traveled 2x^2 + 3x - 2 / 8x - 4 who traveled farther the fi

Algebra ->  Trigonometry-basics -> SOLUTION: (11) Cody and Efrim were competing in a road rally. If Cody traveled x^2 - 4 / 3x - 6 in the first hour and Efrim traveled 2x^2 + 3x - 2 / 8x - 4 who traveled farther the fi      Log On


   

Question 174713This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
: (11) Cody and Efrim were competing in a road rally. If Cody traveled
x^2 - 4 / 3x - 6 in the first hour and Efrim traveled 2x^2 + 3x - 2 / 8x - 4
who traveled farther the first hour of the race? Explain your reasoning.
Thank you please show work. Happy New Year ! This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B

Answer by Alan3354(69443) About Me  (Show Source):
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Cody and Efrim were competing in a road rally. If Cody traveled
x^2 - 4 / 3x - 6 in the first hour and Efrim traveled 2x^2 + 3x - 2 / 8x - 4
who traveled farther the first hour of the race? Explain your reasoning.
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(x^2 - 4)/(3x - 6) Is that what you meant?
=(x-2)*(x+2)/(3*(x-2))
=(x+2)/3
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(2x^2 + 3x - 2)/(8x - 4)
=(2x^2 + 3x - 2)/4*(2x - 1)
=(x+2)*(2x-1)/4(2x-1)
=(x+2)/4
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(x+2)/3 is larger if x is positive.