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.
T. Determine the least common
denominator and the domain for the
2x-3
10
problem:
+
x²+6x+8
x²+x-12
3
2x
2. Add:
+
Simplify and
5x+10 x²-2x-8
state the domain.
7
3. Add/Subtract:
x+2 1
+
x+6
2x+2 4
Simplify and state the domain.
x+1
4
4. Subtract:
-
Simplify
3x-3
x²-3x+2
and state the domain.
1
15
3x-5
5. Add/Subtract:
+
2
2x-14
x²-7x
Simplify and state the domain.
Q.1) Classify the following statements as a true or false statements:
Q
a. A simple ring R is simple as a right R-module.
b. Every ideal of ZZ is small ideal.
very den to is lovaginz
c. A nontrivial direct summand of a module cannot be large or small submodule.
d. The sum of a finite family of small submodules of a module M is small in M.
e. The direct product of a finite family of projective modules is projective
f. The sum of a finite family of large submodules of a module M is large in M.
g. Zz contains no minimal submodules.
h. Qz has no minimal and no maximal submodules.
i. Every divisible Z-module is injective.
j. Every projective module is a free module.
a homomorp
cements
Q.4) Give an example and explain your claim in each case:
a) A module M which has a largest proper submodule, is directly indecomposable.
b) A free subset of a module.
c) A finite free module.
d) A module contains no a direct summand.
e) A short split exact sequence of modules.
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