A quarterback tosses a football to a receiver 40 yards downfield. The beight of the football, f(x), in feet, can be modeled by f ( x ) = 0.025 x 2 + x + 6 , where x is the ball's horizontal distance, in yards, from the quarterback. a. What is the ball's maximum height and how far from the quarterback does this occur? b. From what height did the quarterback loss the football? c. If the football is not blocked by a defensive player nor caught by the receiver, how far down the held will it go before hitting the ground? Round to the nearest tenth of a yard. d. Graph the function dial models die football's parabolic pain.
A quarterback tosses a football to a receiver 40 yards downfield. The beight of the football, f(x), in feet, can be modeled by f ( x ) = 0.025 x 2 + x + 6 , where x is the ball's horizontal distance, in yards, from the quarterback. a. What is the ball's maximum height and how far from the quarterback does this occur? b. From what height did the quarterback loss the football? c. If the football is not blocked by a defensive player nor caught by the receiver, how far down the held will it go before hitting the ground? Round to the nearest tenth of a yard. d. Graph the function dial models die football's parabolic pain.
Solution Summary: The author explains how to calculate the maximum height of the ball, which is given by the function f(x)=-0.025. The height from which the quarterback tosses the football is
A quarterback tosses a football to a receiver 40 yards downfield. The beight of the football, f(x), in feet, can be modeled by
f
(
x
)
=
0.025
x
2
+
x
+
6
, where x is the ball's horizontal distance, in yards, from the quarterback.
a. What is the ball's maximum height and how far from the quarterback does this occur?
b. From what height did the quarterback loss the football?
c. If the football is not blocked by a defensive player nor caught by the receiver, how far down the held will it go before hitting the ground? Round to the nearest tenth of a yard.
d. Graph the function dial models die football's parabolic pain.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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