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(x - 3)(x + 9) = -27
Expand the brackets:
x^2 + 9x - 3x - 27 = -27
Simplify:
x^2 + 6x - 27 = -27
+ 27 to both sides
x^2 + 6x = 0
Factorise:
x(x + 6)
The solutions are x = 0, x = -6
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Answer:
t = 1.667 s
Step-by-step explanation
The distance traveled since the warning flag in feet is characterized by
d = 30*t^2 + 40*t
Where t is the time in seconds after the car starts accelerating.
We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.
We need to find the time for which the distance d = 150 ft
150 = 30*t^2 + 40*t , t > =0
We can see that this value in the graph is approximately
t = 1.667 s
We can verify
30*(1.667)^2 + 40*(1.667 ) ≈ 150
It’s 60 dollars Nd 0.6666 is natural answer with runs out of 2030km