The function is not defined when the denominator (x-9) is zero. The denominator will be zero when x=9, so that value must be excluded from the domain.
The domain is ...
... All real numbers except 9
X*x*1.5x = 150
<span>1.5x³ = 150 </span>
<span>x³ = 100 </span>
<span>x = 4.641588834 </span>
<span>x ≈ 4.6 and y ≈ 6.9 <----- </span>
The time it will take for the car to skid for 150 feet is 8.23 seconds.
<h3>How to find the time the car will skid?</h3>
The function D(t) = 18t² − 130t gives the distance a car going a certain speed will skid in t seconds.
The time the it would take for the car to skid for 150 feet can be calculated as follows:
Therefore,
D(t) = 18t² - 130t
150 = 18t² - 130t
18t² - 130t - 150 = 0
divide by 3
9t² - 65t - 75 = 0
Hence,
t = 65 ± 5√277 / 18
t = 8.23425471586 or -1.01166666667
Hence,
t = 8.23 seconds.
Therefore, the time it will take for the car to skid for 150 feet is 8.23 seconds.
learn more on function here: brainly.com/question/13927655
#SPJ1