65. MODELING WITH MATHEMATICS A soccer player kicks a ball downfield. The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player. A second kick is modeled by y = x(0.4 - 0.008x). Which kick travels farther before hitting the ground? Which kick travels higher? (See Example 5.)

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65. MODELING WITH MATHEMATICS A soccer player
kicks a ball downfield. The height of the ball increases
until it reaches a maximum
height of 8 yards, 20 yards
away from the player. A
second kick is modeled by
y = x(0.4 – 0.008x). Which
kick travels farther before
hitting the ground? Which
kick travels higher? (See Example 5.)
66. MODELING WITH MATHEMATICS Although a football
field appears to be flat, some are actually shaped
like a parabola so that rain runs off to both sides.
The cross section of a field can be modeled by
y = -0.000234x(x-160), where x and y are
measured in feet. What is the width of the field? What
is the maximum height of the surface of the field?
surface of
football field
Not drawn to scale
e to search
KDO
4-
brt sc
144
411
144
96
&
6
7
T
Y
U
Pn
G
H.
K
Transcribed Image Text:blem * A O O View Tools Help Request edit ace 65. MODELING WITH MATHEMATICS A soccer player kicks a ball downfield. The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player. A second kick is modeled by y = x(0.4 – 0.008x). Which kick travels farther before hitting the ground? Which kick travels higher? (See Example 5.) 66. MODELING WITH MATHEMATICS Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. The cross section of a field can be modeled by y = -0.000234x(x-160), where x and y are measured in feet. What is the width of the field? What is the maximum height of the surface of the field? surface of football field Not drawn to scale e to search KDO 4- brt sc 144 411 144 96 & 6 7 T Y U Pn G H. K
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