The function d(t) = 17t² - 110t gives the distance a car going a certain speed will skid in t seconds. Find the time it would take for the car to skid 180 feet.
d(t) is the distance the car skids
t is the time the car skids So, substitute 180 in for d(t), and then solve for t, to find the time the car skids for 180 feet. 180 = 17t² - 110t {substituted 180 in for d(t)} 17t² - 110t - 180 = 0 {subtracted 180 from each side} You can solve this equation by graphing it on the graphing calculator. You are looking to see where the graphintersects the x-axis (or in this case the t-axis). That is the value of x (or t) that makes the y-value (or d(t)) equal to zero. Also, you are only looking for the positive x-intercept, since time cannot be negative.
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