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If we rewrite this equation, it would look like this: 
, which is the equation for a straight line with a slope of -4/3 and a y-intercept of 20. The y-intercept exists when x = 0. "x" represents the number of minutes he drives, "y" represents the number of laps he drives. Slope is rise/run, or y/x, which gives us that he drives 4 laps in 3 minutes (the slope of our line). The y-intercept, when x = 0, tells us that when he has driven 0 minutes, or hasn't driven at all yet, he still has 20 laps to go. When y = 0, the x-intercept is 
, and 
. Multiply both sides by 3 to get that -60 = -4x and that means that x is 15. This means that from start to finish, it takes him 15 minutes to drive the 20 laps.
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Answer:
(f/g)(8) = -104/41
Step-by-step explanation:
Fill in the value for x and do the arithmetic.
f(8) = 3 -2·8 = 3 -16 = -13
g(8) = 1/8 +5 = (1+40)/8 = 41/8
Then the ratio is ...
(f/g)(8) = f(8)/g(8) = -13/(41/8) = -13(8)/41
(f/g)(8) = -104/41
Answer:
Step-by-step explanation:
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Calculation steps: