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Math Problems
Algebra 2
Roots of rational numbers
Perform the operation and simplify the answer fully.
\newline
8
9
3
4
\frac{\frac{8}{9}}{\frac{3}{4}}
4
3
9
8
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
3
5
⋅
9
8
\frac{3}{5} \cdot \frac{9}{8}
5
3
⋅
8
9
\newline
Answer:
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Perform the operation and simplify the answer fully.
\newline
4
3
⋅
8
5
\frac{4}{3} \cdot \frac{8}{5}
3
4
⋅
5
8
\newline
Answer:
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Convert
63
10
\frac{63}{10}
10
63
into a mixed number.
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Convert
6
3
8
6 \frac{3}{8}
6
8
3
into an improper fraction.
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
11
2
−
11
14
-\frac{11}{2}-\frac{11}{14}
−
2
11
−
14
11
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
5
16
+
11
16
-\frac{5}{16}+\frac{11}{16}
−
16
5
+
16
11
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
9
8
+
3
20
-\frac{9}{8}+\frac{3}{20}
−
8
9
+
20
3
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
9
10
−
3
4
-\frac{9}{10}-\frac{3}{4}
−
10
9
−
4
3
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
8
9
−
7
15
-\frac{8}{9}-\frac{7}{15}
−
9
8
−
15
7
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
1
12
+
11
9
-\frac{1}{12}+\frac{11}{9}
−
12
1
+
9
11
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
7
5
+
2
7
-\frac{7}{5}+\frac{2}{7}
−
5
7
+
7
2
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
7
5
+
2
7
-\frac{7}{5}+\frac{2}{7}
−
5
7
+
7
2
\newline
Answer:
\newline
Submit Answer
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
5
12
+
10
9
-\frac{5}{12}+\frac{10}{9}
−
12
5
+
9
10
\newline
Answer:
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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\newline
−
4
15
−
1
6
-\frac{4}{15}-\frac{1}{6}
−
15
4
−
6
1
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
0
8
‾
.0 \overline{8}
.0
8
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
94
‾
\overline{94}
94
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
0
6
‾
.0 \overline{6}
.0
6
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
8
6
‾
.8 \overline{6}
.8
6
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
0
4
‾
.0 \overline{4}
.0
4
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
1
5
‾
.1 \overline{5}
.1
5
\newline
Answer:
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Convert the following repeating decimal to a fraction in simplest form.
\newline
.
4
1
‾
.4 \overline{1}
.4
1
\newline
Answer:
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a
b
c
+
d
e
f
\frac{\frac{a}{b}}{c}+\frac{d}{\frac{e}{f}}
c
b
a
+
f
e
d
\newline
Which of the following is equivalent to the expression above?
\newline
Choose
1
1
1
answer:
\newline
(A)
a
b
c
+
d
f
e
\frac{a}{bc}+\frac{df}{e}
b
c
a
+
e
df
\newline
(B)
a
b
c
+
d
e
f
\frac{a}{bc}+\frac{de}{f}
b
c
a
+
f
d
e
\newline
(C)
b
c
,
d
f
bc,df
b
c
,
df
\newline
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The derivative of the function
f
f
f
is defined by
f
′
(
x
)
=
(
x
3
−
2
x
)
cos
(
3
x
)
f^{\prime}(x)=\left(x^{3}-2 x\right) \cos (3 x)
f
′
(
x
)
=
(
x
3
−
2
x
)
cos
(
3
x
)
. If
f
(
−
1
)
=
8
f(-1)=8
f
(
−
1
)
=
8
, then use a calculator to find the value of
f
(
3
)
f(3)
f
(
3
)
to the nearest thousandth.
\newline
Answer:
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What is the average value of
1
x
\frac{1}{x}
x
1
on the interval
4
≤
x
≤
8
4 \leq x \leq 8
4
≤
x
≤
8
?
\newline
Choose
1
1
1
answer:
\newline
(A)
3
16
\frac{3}{16}
16
3
\newline
(B)
1
16
\frac{1}{16}
16
1
\newline
(C)
ln
(
32
)
4
\frac{\ln (32)}{4}
4
l
n
(
32
)
\newline
(D)
ln
(
2
)
4
\frac{\ln (2)}{4}
4
l
n
(
2
)
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What is the area of the region between the graphs of
f
(
x
)
=
−
x
2
+
2
x
+
12
f(x)=-x^{2}+2 x+12
f
(
x
)
=
−
x
2
+
2
x
+
12
and
g
(
x
)
=
x
2
−
12
g(x)=x^{2}-12
g
(
x
)
=
x
2
−
12
from
x
=
−
3
x=-3
x
=
−
3
to
x
=
4
x=4
x
=
4
?
\newline
Choose
1
1
1
answer:
\newline
(A)
7
7
7
\newline
(B)
343
3
\frac{343}{3}
3
343
\newline
(C)
83
3
\frac{83}{3}
3
83
\newline
(D)
52
3
13
−
1
−
32
3
\frac{52}{3} \sqrt{13}-1-32 \sqrt{3}
3
52
13
−
1
−
32
3
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Find the real-number root.
\newline
9
16
\sqrt{\frac{9}{16}}
16
9
\newline
Simplify your answer and write it as a decimal or as a proper or improper fraction.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
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