Answer:
3 is the root of the equation.
Step-by-step explanation:
We have to find the root of the polynomial equation x(x-2)(x+3)=18.
We can find the same by using a graphing utility and the system of equations.
We can make two equations which are given by

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.
the graph has been shown in the attached file.
The intersection point is (3, 18) and the x-coordinate is 3.
Therefore, 3 is the root of the equation.
Answer:
k= -1/3
Step-by-step explanation:
hope this helps :)
Answer:
The team ordered 7 black T-shirts.
The team ordered 14 red T-shirts.
Step-by-step explanation:
The team ordered 140 T-shirts.
How many black T-shirts did the baseball team order?
Of those, 5% are black.
0.05*140 = 7
The team ordered 7 black T-shirts.
How many red T-shirts?
Of those, 10% are red.
0.1*140 = 14
The team ordered 14 red T-shirts.
If the required rate is gallons per minute, then its obvious from the question, that the rate of filling the pool is 10 gallons per minute, and its obviously a constant number.
But for the rate to be in gallons per hour, then
1 minute corresponds to 10 gallons
so
1 hour corresponds to 10x60 = 600 gallons
hence
rate (gallons per hour) = 120,000/600 = 200 gallons per hour.
which is again a constant number.