A basketball league plays a total of 90 games. How many teams are in the league if each team plays every other team twice?
1 answer:
You might be interested in
For this case we have the following expression:
We have to:
Rewriting the expression and simplifying we have:
Answer:
This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
Plugging this into the given formula:
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
Then by the zero product property (or the no zero divisors rule), we have:
(this is the x value where the ball is kicked from)
So the ball travels 51 yards in total.
Plugging this into the given formula:
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
Then by the zero product property (or the no zero divisors rule), we have:
So the ball travels 51 yards in total.