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Let’s check out your problem:
Which of the following numbers are
less than or equal to
1
1
1
.
75
75
75
?
\newline
Choose all answers that apply:
\newline
(A)
1
4
11
1 \frac{4}{11}
1
11
4
\newline
(B)
1
1
1
.
6
6
6
\newline
(C)
7
4
\frac{7}{4}
4
7
View step-by-step help
Home
Math Problems
Algebra 2
Domain and range
Full solution
Q.
Which of the following numbers are less than or equal to
1
1
1
.
75
75
75
?
\newline
Choose all answers that apply:
\newline
(A)
1
4
11
1 \frac{4}{11}
1
11
4
\newline
(B)
1
1
1
.
6
6
6
\newline
(C)
7
4
\frac{7}{4}
4
7
Convert to Improper Fraction:
Convert the mixed number
1
(
4
11
)
1\left(\frac{4}{11}\right)
1
(
11
4
)
to an improper
fraction
to compare it with
1.75
1.75
1.75
.
1
(
4
11
)
=
(
11
×
1
+
4
)
11
=
15
11
1\left(\frac{4}{11}\right) = \frac{(11\times1 + 4)}{11} = \frac{15}{11}
1
(
11
4
)
=
11
(
11
×
1
+
4
)
=
11
15
Convert to Decimal:
Convert the improper fraction
15
11
\frac{15}{11}
11
15
to a decimal to compare it with
1.75
1.75
1.75
.
\newline
15
11
≈
1.36
\frac{15}{11} \approx 1.36
11
15
≈
1.36
(rounded to two decimal places)
Compare with
1.75
1.75
1.75
:
Compare the decimal
1.36
1.36
1.36
to
1.75
1.75
1.75
. Since
1.36
1.36
1.36
is less than
1.75
1.75
1.75
, the number
1
(
4
11
)
1\left(\frac{4}{11}\right)
1
(
11
4
)
is less than or equal to
1.75
1.75
1.75
.
Compare with
1.75
1.75
1.75
:
Compare the decimal
1.6
1.6
1.6
to
1.75
1.75
1.75
. Since
1.6
1.6
1.6
is less than
1.75
1.75
1.75
, the number
1.6
1.6
1.6
is less than or equal to
1.75
1.75
1.75
.
Convert to Decimal:
Convert the fraction
(
7
4
)
(\frac{7}{4})
(
4
7
)
to a decimal to compare it with
1.75
1.75
1.75
.
\newline
(
7
4
)
=
1.75
(\frac{7}{4}) = 1.75
(
4
7
)
=
1.75
Compare with
1
1
1
.
75
75
75
:
Compare the decimal
1.75
1.75
1.75
to
1.75
1.75
1.75
.
\newline
Since
1.75
1.75
1.75
is equal to
1.75
1.75
1.75
, the number
(
7
4
)
(\frac{7}{4})
(
4
7
)
is less than or equal to
1.75
1.75
1.75
.
More problems from Domain and range
Question
We want to factor the following expression:
\newline
x
4
+
9
x^{4}+9
x
4
+
9
\newline
Which pattern can we use to factor the expression?
\newline
U
U
U
and
V
V
V
are either constant integers or single-variable expressions.
\newline
Choose
1
1
1
answer:
\newline
(A)
(
U
+
V
)
2
(U+V)^{2}
(
U
+
V
)
2
or
(
U
−
V
)
2
(U-V)^{2}
(
U
−
V
)
2
\newline
(B)
(
U
+
V
)
(
U
−
V
)
(U+V)(U-V)
(
U
+
V
)
(
U
−
V
)
\newline
(C) We can't use any of the patterns.
Get tutor help
Posted 1 year ago
Question
z
=
−
19
+
3.14
i
z=-19+3.14 i
z
=
−
19
+
3.14
i
\newline
What are the real and imaginary parts of
z
z
z
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
Re
(
z
)
=
−
19
and
Im
(
z
)
=
3.14
\begin{array}{l} \operatorname{Re}(z)=-19 \text { and } \\ \operatorname{Im}(z)=3.14 \end{array}
Re
(
z
)
=
−
19
and
Im
(
z
)
=
3.14
\newline
(B)
\newline
Re
(
z
)
=
3.14
i
and
Im
(
z
)
=
−
19
\begin{array}{l} \operatorname{Re}(z)=3.14 i \text { and } \\ \operatorname{Im}(z)=-19 \end{array}
Re
(
z
)
=
3.14
i
and
Im
(
z
)
=
−
19
\newline
(c)
\newline
Re
(
z
)
=
−
19
and
Im
(
z
)
=
3.14
i
\begin{array}{l} \operatorname{Re}(z)=-19 \text { and } \\ \operatorname{Im}(z)=3.14 i \end{array}
Re
(
z
)
=
−
19
and
Im
(
z
)
=
3.14
i
\newline
(D)
\newline
Re
(
z
)
=
3.14
and
Im
(
z
)
=
−
19
\begin{array}{l} \operatorname{Re}(z)=3.14 \text { and } \\ \operatorname{Im}(z)=-19 \end{array}
Re
(
z
)
=
3.14
and
Im
(
z
)
=
−
19
Get tutor help
Posted 1 year ago
Question
z
=
−
60
−
12
i
Re
(
z
)
=
Im
(
z
)
=
\begin{array}{l}z=-60-12 i \\ \operatorname{Re}(z)= \\ \operatorname{Im}(z)=\end{array}
z
=
−
60
−
12
i
Re
(
z
)
=
Im
(
z
)
=
Get tutor help
Posted 1 year ago
Question
z
=
−
45
i
−
15.5
z=-45 i-15.5
z
=
−
45
i
−
15.5
\newline
What are the real and imaginary parts of
z
z
z
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
Re
(
z
)
=
−
45
and
Im
(
z
)
=
−
15.5
\begin{array}{l} \operatorname{Re}(z)=-45 \text { and } \\ \operatorname{Im}(z)=-15.5 \end{array}
Re
(
z
)
=
−
45
and
Im
(
z
)
=
−
15.5
\newline
(B)
\newline
Re
(
z
)
=
−
15.5
and
Im
(
z
)
=
−
45
\begin{array}{l} \operatorname{Re}(z)=-15.5 \text { and } \\ \operatorname{Im}(z)=-45 \end{array}
Re
(
z
)
=
−
15.5
and
Im
(
z
)
=
−
45
\newline
(C)
\newline
Re
(
z
)
=
−
45
i
and
Im
(
z
)
=
−
15.5
\begin{array}{l} \operatorname{Re}(z)=-45 i \text { and } \\ \operatorname{Im}(z)=-15.5 \end{array}
Re
(
z
)
=
−
45
i
and
Im
(
z
)
=
−
15.5
\newline
(D)
\newline
Re
(
z
)
=
−
15.5
and
Im
(
z
)
=
−
45
i
\begin{array}{l} \operatorname{Re}(z)=-15.5 \text { and } \\ \operatorname{Im}(z)=-45 i \end{array}
Re
(
z
)
=
−
15.5
and
Im
(
z
)
=
−
45
i
Get tutor help
Posted 1 year ago
Question
z
=
−
12
i
+
11
z=-12 i+11
z
=
−
12
i
+
11
\newline
What are the real and imaginary parts of
z
z
z
?
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
Re
(
z
)
=
11
and
Im
(
z
)
=
−
12
\begin{array}{l} \operatorname{Re}(z)=11 \text { and } \\ \operatorname{Im}(z)=-12 \end{array}
Re
(
z
)
=
11
and
Im
(
z
)
=
−
12
\newline
(B)
\newline
Re
(
z
)
=
11
and
Im
(
z
)
=
−
12
i
\begin{array}{l} \operatorname{Re}(z)=11 \text { and } \\ \operatorname{Im}(z)=-12 i \end{array}
Re
(
z
)
=
11
and
Im
(
z
)
=
−
12
i
\newline
(C)
\newline
Re
(
z
)
=
−
12
i
and
Im
(
z
)
=
11
\begin{array}{l} \operatorname{Re}(z)=-12 i \text { and } \\ \operatorname{Im}(z)=11 \end{array}
Re
(
z
)
=
−
12
i
and
Im
(
z
)
=
11
\newline
(D)
\newline
Re
(
z
)
=
−
12
and
Im
(
z
)
=
11
\begin{array}{l} \operatorname{Re}(z)=-12 \text { and } \\ \operatorname{Im}(z)=11 \end{array}
Re
(
z
)
=
−
12
and
Im
(
z
)
=
11
Get tutor help
Posted 1 year ago
Question
(
18
+
4
i
)
+
(
−
11
+
23
i
)
=
(18+4 i)+(-11+23 i)=
(
18
+
4
i
)
+
(
−
11
+
23
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 1 year ago
Question
(
14
+
60
i
)
+
(
−
30
+
2
i
)
=
(14+60 i)+(-30+2 i)=
(
14
+
60
i
)
+
(
−
30
+
2
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 1 year ago
Question
(
3
−
91
i
)
+
(
67
)
=
(3-91 i)+(67)=
(
3
−
91
i
)
+
(
67
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 1 year ago
Question
(
−
71
+
2
i
)
+
(
88
−
12
i
)
=
(-71+2 i)+(88-12 i)=
(
−
71
+
2
i
)
+
(
88
−
12
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 1 year ago
Question
(
−
33
−
2
i
)
−
(
50
+
9
i
)
=
(-33-2 i)-(50+9 i)=
(
−
33
−
2
i
)
−
(
50
+
9
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 1 year ago
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