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 ->  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

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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(31519) About Me  (Show Source):
You can put this solution on YOUR website!
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.