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Math Problems
Algebra 1
Solve quadratic equations: word problems
The power generated by an electrical circuit (in watts) as a function of its current
c
c
c
(in amperes) is modeled by:
\newline
P
(
c
)
=
−
20
(
c
−
3
)
2
+
180
P(c)=-20(c-3)^{2}+180
P
(
c
)
=
−
20
(
c
−
3
)
2
+
180
\newline
Which currents will produce no power (i.e.
0
0
0
watts)?
\newline
Enter the lower current first.
\newline
Lower current:
amperes
\text{amperes}
amperes
\newline
Higher current:
amperes
\text{amperes}
amperes
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Ming throws a stone off a bridge into a river below.
\newline
The stone's height (in meters above the water),
x
x
x
seconds after Ming threw it, is modeled by:
\newline
h
(
x
)
=
−
5
(
x
−
1
)
2
+
45
h(x)=-5(x-1)^{2}+45
h
(
x
)
=
−
5
(
x
−
1
)
2
+
45
\newline
How many seconds after being thrown will the stone reach its maximum height?
\newline
seconds
\text{seconds}
seconds
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An object is launched from a platform. Its height (in meters),
x
x
x
seconds after the launch, is modeled by:
\newline
h
(
x
)
=
−
5
(
x
−
4
)
2
+
180
h(x)=-5(x-4)^{2}+180
h
(
x
)
=
−
5
(
x
−
4
)
2
+
180
\newline
What is the height of the object at the time of launch?
meters
\text{meters}
meters
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