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Math Problems
Precalculus
Solve radical equations
Solve for
x
\mathrm{x}
x
:
\newline
7
x
+
72
+
11
=
15
\sqrt{7 x+72}+11=15
7
x
+
72
+
11
=
15
\newline
Answer:
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Solve for
x
\mathrm{x}
x
:
\newline
5
x
+
11
+
14
=
20
\sqrt{5 x+11}+14=20
5
x
+
11
+
14
=
20
\newline
Answer:
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Determine the value of
y
y
y
, if
x
x
x
is
102
102
102
.
\newline
y
=
x
+
19
y=\sqrt{x+19}
y
=
x
+
19
\newline
Answer:
y
=
y=
y
=
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41
−
8
a
+
7
=
a
\sqrt{41-8a}+7=a
41
−
8
a
+
7
=
a
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y
=
ln
(
1
+
sin
x
1
−
sin
x
)
y=\ln \sqrt{\left(\frac{1+\sin x}{1-\sin x}\right)}
y
=
ln
(
1
−
s
i
n
x
1
+
s
i
n
x
)
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The cumulative cost of purchasing and maintaining Julia's computer is increasing at a rate of
r
(
t
)
r(t)
r
(
t
)
dollars per year (where
t
t
t
is the time in years). At
t
=
1
t=1
t
=
1
, Julia had spent a total of
$
420
\$ 420
$420
on her computer.
\newline
What does
420
+
∫
1
5
r
(
t
)
d
t
=
570
420+\int_{1}^{5} r(t) d t=570
420
+
∫
1
5
r
(
t
)
d
t
=
570
mean?
\newline
Choose
1
1
1
answer:
\newline
(A) Julia spent
$
570
\$ 570
$570
on her computer in the fifth year.
\newline
(B) By the end of the fifth year, Julia had spent a total of
$
570
\$ 570
$570
purchasing and maintaining her computer.
\newline
(C) Julia spent an additional
$
570
\$ 570
$570
on her computer between years
1
1
1
and
5
5
5
.
\newline
(D) Julia spent an average of
$
570
\$ 570
$570
per year purchasing and maintaining her computer.
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The cumulative cost of purchasing and maintaining Julia's computer is increasing at a rate of
r
(
t
)
r(t)
r
(
t
)
dollars per year (where
t
t
t
is the time in years). At
t
=
1
t=1
t
=
1
, Julia had spent a total of
$
420
\$ 420
$420
on her computer.
\newline
What does
420
+
∫
1
5
r
(
t
)
d
t
=
570
420+\int_{1}^{5} r(t) d t=570
420
+
∫
1
5
r
(
t
)
d
t
=
570
mean?
\newline
Choose
1
1
1
answer:
\newline
(A) Julia spent an additional
$
570
\$ 570
$570
on her computer between years
1
1
1
and
5
5
5
.
\newline
(B) Julia spent
$
570
\$ 570
$570
on her computer in the fifth year.
\newline
(C) Julia spent an average of
$
570
\$ 570
$570
per year purchasing and maintaining her computer.
\newline
(D) By the end of the fifth year, Julia had spent a total of
$
570
\$ 570
$570
purchasing and maintaining her computer.
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lim
x
→
2
6
x
+
13
=
\lim _{x \rightarrow 2} \sqrt{6 x+13}=
lim
x
→
2
6
x
+
13
=
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Solve the following equation for
z
z
z
.
\newline
53
+
5
z
7
=
2
\sqrt{\frac{53+5 z}{7}}=2
7
53
+
5
z
=
2
\newline
z
=
z=
z
=
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Solve the following equation for
x
x
x
.
\newline
2
x
+
1
=
x
+
2
2 x+1=\sqrt{x+2}
2
x
+
1
=
x
+
2
\newline
x
=
x=
x
=
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