A 50-m bridge over a crevasse is supported by a parabolic arch. The function defined by f ( x ) = − 0.16 ( x − 25 ) 2 + 100 (where 0 ≤ x ≤ 50 ) approximates the height f ( x ) (in feet) of the supporting arch x meters from the end of the bridge (see figure). a .What is the location of the vertex of the arch? b .What is the maximum height of the arch (relative to the origin)?
A 50-m bridge over a crevasse is supported by a parabolic arch. The function defined by f ( x ) = − 0.16 ( x − 25 ) 2 + 100 (where 0 ≤ x ≤ 50 ) approximates the height f ( x ) (in feet) of the supporting arch x meters from the end of the bridge (see figure). a .What is the location of the vertex of the arch? b .What is the maximum height of the arch (relative to the origin)?
A 50-m bridge over a crevasse is supported by a parabolic arch. The function defined by
f
(
x
)
=
−
0.16
(
x
−
25
)
2
+
100
(where
0
≤
x
≤
50
) approximates the height
f
(
x
)
(in feet) of the supporting arch x meters from the end of the bridge (see figure).
a.What is the location of the vertex of the arch?
b.What is the maximum height of the arch (relative to the origin)?
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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