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Date:
\newline
qquad
\newline
Page No:
\newline
qquad
\newline
(i)
\newline
4
(
2
(
−
3
)
(
5
)
+
4
(
5
)
(
−
2
)
)
3
(
−
2
)
(
−
3
)
\frac{4(2(-3)(5)+4(5)(-2))}{3(-2)(-3)}
3
(
−
2
)
(
−
3
)
4
(
2
(
−
3
)
(
5
)
+
4
(
5
)
(
−
2
))
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Math Problems
Algebra 1
Domain and range of relations
Full solution
Q.
Date:
\newline
qquad
\newline
Page No:
\newline
qquad
\newline
(i)
\newline
4
(
2
(
−
3
)
(
5
)
+
4
(
5
)
(
−
2
)
)
3
(
−
2
)
(
−
3
)
\frac{4(2(-3)(5)+4(5)(-2))}{3(-2)(-3)}
3
(
−
2
)
(
−
3
)
4
(
2
(
−
3
)
(
5
)
+
4
(
5
)
(
−
2
))
Calculate innermost parentheses:
Calculate the innermost parentheses first:
\newline
4(2(-3)(5) + 4(5)(-2)) / (3(-2)(-3))\(\newline= 4((-30) + (-40)) / (3 \times 6)\)
Simplify calculations inside parentheses:
Simplify the calculations inside the parentheses:
=
4
(
−
70
)
/
18
= 4(-70) / 18
=
4
(
−
70
)
/18
Multiply and divide for final answer:
Multiply and divide to find the final answer:
\newline
=
−
280
/
18
-280 / 18
−
280/18
\newline
=
−
15.555
…
-15.555\ldots
−
15.555
…
More problems from Domain and range of relations
Question
Which of the following numbers are less than
−
0
-0
−
0
.
625
625
625
?
\newline
Choose all answers that apply:
\newline
(A)
−
8
5
-\frac{8}{5}
−
5
8
\newline
(B)
−
5
8
-\frac{5}{8}
−
8
5
\newline
(C)
−
0
-0
−
0
.
5
5
5
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Question
For each of the following rational expressions, determine the values for which the expression is undefined:
\newline
A) The expression
\newline
(
14
m
8
n
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(\frac{14m}{8n})
(
8
n
14
m
)
is undefined when
\newline
0
^
=
\hat{0}=
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^
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B) The expression
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20
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20
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(\frac{19y+5}{20y-20})
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20
y
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20
19
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\newline
0
^
=
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^
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C) The expression
\newline
(
b
−
16
b
2
−
361
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(\frac{b-16}{b^{2}-361})
(
b
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−
361
b
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is undefined when ?
\newline
0
^
=
\hat{0}=
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^
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Question
Use the following function rule to find
f
(
5
)
f(5)
f
(
5
)
.
\newline
f
(
x
)
=
x
5
f(x) = \frac{x}{5}
f
(
x
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5
x
\newline
f
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5
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=
f(5) =
f
(
5
)
=
_____
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Question
Use the following function rule to find
f
(
10
)
f(10)
f
(
10
)
.
\newline
f
(
x
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=
2
+
x
10
f(x) = 2 + \frac{x}{10}
f
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x
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=
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\newline
f
(
10
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=
f(10) =
f
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=
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Question
The radius
r
r
r
of a sphere is increasing at the uniform rate of
0.3
cm
0.3\,\text{cm}
0.3
cm
per second. At the instant when the surface area
S
S
S
becomes
100
π
cm
2
100\pi\,\text{cm}^{2}
100
π
cm
2
, what is the rate of increase, in
cm
3
\text{cm}^{3}
cm
3
per second, in the volume
V
V
V
?
(
S
=
4
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r
2
)
(S=4\pi r^{2})
(
S
=
4
π
r
2
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and
(
V
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3
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(V=\frac{4}{3}\pi r^{3})
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V
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3
4
π
r
3
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\newline
10
π
10\pi
10
π
\newline
12
π
12\pi
12
π
\newline
0.3
cm
0.3\,\text{cm}
0.3
cm
0
0
0
\newline
0.3
cm
0.3\,\text{cm}
0.3
cm
1
1
1
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Question
Diane is making fancy headbands to sell at a craft fair. The number of headbands she can make is limited by the amount of ribbon she has on hand.
\newline
h
=
h =
h
=
the number of headbands Diane can make
\newline
r
=
r =
r
=
the amount of ribbon Diane has on hand
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
h
h
h
is the independent variable and
r
r
r
is the dependent variable
\newline
(B)
r
r
r
is the independent variable and
h
h
h
is the dependent variable
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Question
Use the following function rule to find
f
(
41
)
f(41)
f
(
41
)
.
\newline
f
(
x
)
=
7
x
+
8
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x
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41
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41
)
=
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Question
Use the following function rule to find
f
(
115
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f(115)
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115
)
.
\newline
f
(
x
)
=
4
x
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x
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\newline
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115
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=
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Question
Use the following function rule to find
f
(
5
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f(5)
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5
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.
\newline
f
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x
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=
12
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x
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\newline
f
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5
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=
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=
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Question
Use the following function rule to find
f
(
81
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f(81)
f
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81
)
.
\newline
f
(
x
)
=
9
x
f(x) = 9\sqrt{x}
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x
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\newline
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81
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=
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81
)
=
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