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Let’s check out your problem:
Select the expressions that are equivalent to
4
(
5
d
)
4(5d)
4
(
5
d
)
.
\newline
Multi-select Choices:
\newline
(A)
4
(
d
+
4
d
)
4(d + 4d)
4
(
d
+
4
d
)
\newline
(B)
4
(
5
+
d
)
4(5 + d)
4
(
5
+
d
)
\newline
(C)
d
+
9
d + 9
d
+
9
\newline
(D)
5
d
+
4
5d + 4
5
d
+
4
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Math Problems
Algebra 1
Domain and range of square root functions: equations
Full solution
Q.
Select the expressions that are equivalent to
4
(
5
d
)
4(5d)
4
(
5
d
)
.
\newline
Multi-select Choices:
\newline
(A)
4
(
d
+
4
d
)
4(d + 4d)
4
(
d
+
4
d
)
\newline
(B)
4
(
5
+
d
)
4(5 + d)
4
(
5
+
d
)
\newline
(C)
d
+
9
d + 9
d
+
9
\newline
(D)
5
d
+
4
5d + 4
5
d
+
4
Simplify Expression:
Simplify the given expression
4
(
5
d
)
4(5d)
4
(
5
d
)
to find its equivalent forms.
\newline
Calculation:
4
×
5
d
=
20
d
4 \times 5d = 20d
4
×
5
d
=
20
d
.
Compare Choice (A):
Compare choice (A)
4
(
d
+
4
d
)
4(d + 4d)
4
(
d
+
4
d
)
.
\newline
Calculation:
4
(
d
+
4
d
)
=
4
×
5
d
=
20
d
4(d + 4d) = 4 \times 5d = 20d
4
(
d
+
4
d
)
=
4
×
5
d
=
20
d
.
Compare Choice (B):
Compare choice (B)
4
(
5
+
d
)
4(5 + d)
4
(
5
+
d
)
.
\newline
Calculation:
4
(
5
+
d
)
=
20
+
4
d
4(5 + d) = 20 + 4d
4
(
5
+
d
)
=
20
+
4
d
, which is not equal to
20
d
20d
20
d
.
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\newline
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Find the derivative of
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x
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(
x
)
p(x) = \ln(\sqrt{x})
p
(
x
)
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x
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Question
Alice studies the relationship between climate and heart disease around the world.
\newline
H
(
t
)
H(t)
H
(
t
)
models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is
t
t
t
degrees Celsius.
\newline
According to Alice's model, when the temperature is
−
5
∘
C
-5^{\circ}C
−
5
∘
C
(which is the lowest temperature included in the model), the probability is
10
%
10\%
10%
above average. Then the probability decreases until the temperature reaches
3
0
∘
C
30^{\circ}C
3
0
∘
C
(which is the highest temperature included in the model), where the probability is
20
%
20\%
20%
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\newline
Which number type is more appropriate for the domain of
H
H
H
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\newline
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1
1
1
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\newline
(A) Integers
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\newline
It takes
198
198
198
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−
418
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−
418
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\newline
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)
T(a)
T
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models the time (in seconds) it takes to boil a perfect egg at an altitude of
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a
a
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\newline
Which number type is more appropriate for the domain of
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T
T
?
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Choose
1
1
1
answer:
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(A) Integers
\newline
(B) Real numbers
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Question
f
(
x
)
=
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−
1
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(
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)
=
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−
1
\newline
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f
f
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f
(
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)
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f
(
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Question
h
(
x
)
=
4
x
h(x)=\sqrt{4 x}
h
(
x
)
=
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x
\newline
The function
h
h
h
is defined. What is the value of
h
(
9
)
h(9)
h
(
9
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
3
3
3
\newline
(B)
6
6
6
\newline
(C)
12
12
12
\newline
(D)
36
36
36
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