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.
Evaluate the following expression and show your work to support your calculations.
a). 6!
b).
4!
3!0!
7!
c).
5!2!
d). 5!2!
e).
n!
(n - 1)!
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement.
Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater.
The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?
Consider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph.
The domain is all real numbers.
The range is y> 0.
The equation of the asymptote is y = 0
The y-intercept is 1
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