The polynomial is not factorable with rational numbers
The probability is 8 out of 20 or 40 percent
Answer:
14.52 seconds.
Step-by-step explanation:
We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation
. We are asked to find the time, when the rocket will hit the ground.
We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute
in our given equation as:

Let us solve for x using quadratic formula.








Upon rounding to nearest 100th of second, we will get:

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.
Angle BDC is given as 38° but not drawn in the figure. Amateurs.
We calculate angle DBC
DBC = 180° - 96° - 38° = 180° - 134°
We won't bother subtracting because we're really after
angle ABD = 180° - DBC = 134°
Now we have a Law of Cosines situation,
AD² = AB² + BD² - 2(AB)(BD) cos ABD
AD = √( 5.8² + 27.3² - 2(5.8)(27.3) cos 134°)
AD ≈ 31.61 m
Answer: 31.6 m
Not sure what you mean by solution since that’s already simplified and inequalities don’t hav coordinate points as solution.
But -4<-3 so that point wouldn’t go into the “shaded area” of that inequality.
Hope this helps