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Let’s check out your problem:
The graph of function
h
h
h
is shown below. Let
f
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
f(x)=\int_{-4}^{x} h(t) d t
f
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
.
\newline
Evaluate
f
(
−
1
)
f(-1)
f
(
−
1
)
.
\newline
f
(
−
1
)
=
f(-1)=
f
(
−
1
)
=
View step-by-step help
Home
Math Problems
Algebra 2
Evaluate rational expressions II
Full solution
Q.
The graph of function
h
h
h
is shown below. Let
f
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
f(x)=\int_{-4}^{x} h(t) d t
f
(
x
)
=
∫
−
4
x
h
(
t
)
d
t
.
\newline
Evaluate
f
(
−
1
)
f(-1)
f
(
−
1
)
.
\newline
f
(
−
1
)
=
f(-1)=
f
(
−
1
)
=
Identify Area Range:
Identify the area under the graph of
h
(
t
)
h(t)
h
(
t
)
from
−
4
-4
−
4
to
−
1
-1
−
1
.
Calculate Geometric Shapes:
Calculate the area of each geometric shape under the graph from
−
4
-4
−
4
to
−
1
-1
−
1
.
Sum Areas for Total:
Sum the areas to find the total area, which is the value of
f
(
−
1
)
f(-1)
f
(
−
1
)
.
Find
f
(
−
1
)
f(-1)
f
(
−
1
)
Value:
f
(
−
1
)
=
(
Area of shapes under the graph from
−
4
to
−
1
)
f(-1) = (\text{Area of shapes under the graph from} -4 \text{to} -1)
f
(
−
1
)
=
(
Area of shapes under the graph from
−
4
to
−
1
)
.
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Divide. Write the quotient in lowest terms.
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1
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9
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4
5
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1 \frac{7}{9} \div \frac{4}{5}=
1
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7
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Divide. Write the quotient in lowest terms.
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Divide. Write the quotient in lowest terms.
\newline
4
4
5
÷
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Divide. Write the quotient in lowest terms.
\newline
2
1
2
÷
2
2
3
=
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2
1
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Divide. Write the quotient in lowest terms.
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3
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÷
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8
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Question
Divide. Write the quotient in lowest terms.
\newline
3
3
10
÷
1
4
7
=
3 \frac{3}{10} \div 1 \frac{4}{7}=
3
10
3
÷
1
7
4
=
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Question
Divide. Write the quotient in lowest terms.
\newline
4
2
3
÷
7
=
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4
3
2
÷
7
=
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Question
d
d
x
[
8
x
2
+
2
x
−
3
]
=
?
\frac{d}{d x}\left[\sqrt{8 x^{2}+2 x-3}\right]=?
d
x
d
[
8
x
2
+
2
x
−
3
]
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
8
x
+
1
8
x
2
+
2
x
−
3
\frac{8 x+1}{\sqrt{8 x^{2}+2 x-3}}
8
x
2
+
2
x
−
3
8
x
+
1
\newline
(B)
8
x
+
1
x
\frac{8 x+1}{\sqrt{x}}
x
8
x
+
1
\newline
(c)
16
x
+
2
\sqrt{16 x+2}
16
x
+
2
\newline
(D)
1
2
16
x
+
2
\frac{1}{2 \sqrt{16 x+2}}
2
16
x
+
2
1
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Posted 9 months ago
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