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Let’s check out your problem:
Use the following function rule to find
f
(
88
)
f(88)
f
(
88
)
.
\newline
f
(
x
)
=
10
56
+
x
f(x)=10 \sqrt{56+x}
f
(
x
)
=
10
56
+
x
\newline
f
(
88
)
=
□
f(88)=\square
f
(
88
)
=
□
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Math Problems
Algebra 1
Domain and range of square root functions: equations
Full solution
Q.
Use the following function rule to find
f
(
88
)
f(88)
f
(
88
)
.
\newline
f
(
x
)
=
10
56
+
x
f(x)=10 \sqrt{56+x}
f
(
x
)
=
10
56
+
x
\newline
f
(
88
)
=
□
f(88)=\square
f
(
88
)
=
□
Identify Function and Input:
Identify the function and the input value.
\newline
We are given the function
f
(
x
)
=
10
56
+
x
f(x) = 10\sqrt{56 + x}
f
(
x
)
=
10
56
+
x
and we need to find the value of
f
(
88
)
f(88)
f
(
88
)
.
Substitute Input into Function:
Substitute the input value into the function.
\newline
To find
f
(
88
)
f(88)
f
(
88
)
, we substitute
x
x
x
with
88
88
88
in the function:
\newline
f
(
88
)
=
10
56
+
88
f(88) = 10\sqrt{56 + 88}
f
(
88
)
=
10
56
+
88
Perform Addition Inside Square Root:
Perform the addition inside the
square root
.
\newline
Calculate the value inside the square root:
\newline
56
+
88
=
144
56 + 88 = 144
56
+
88
=
144
Evaluate Square Root:
Evaluate the square root.
\newline
The square root of
144
144
144
is
12
12
12
, since
12
×
12
=
144
12 \times 12 = 144
12
×
12
=
144
.
\newline
144
=
12
\sqrt{144} = 12
144
=
12
Multiply by
10
10
10
:
Multiply the result by
10
10
10
. Now, multiply the square root result by
10
10
10
to find
f
(
88
)
f(88)
f
(
88
)
:
f
(
88
)
=
10
×
12
f(88) = 10 \times 12
f
(
88
)
=
10
×
12
Calculate Final Result:
Calculate the final result.
\newline
The final result is:
\newline
f
(
88
)
=
120
f(88) = 120
f
(
88
)
=
120
More problems from Domain and range of square root functions: equations
Question
What is the domain of this function?
\newline
y
=
x
y = \sqrt{x}
y
=
x
\newline
Choices:
\newline
{
x
∣
x
≥
0
}
\{x|x \geq 0\}
{
x
∣
x
≥
0
}
\newline
{
x
∣
x
≤
0
}
\{x|x \leq 0\}
{
x
∣
x
≤
0
}
\newline
{
x
∣
x
<
0
}
\{x | x < 0\}
{
x
∣
x
<
0
}
\newline
{
x
∣
x
>
0
}
\{x|x>0\}
{
x
∣
x
>
0
}
Get tutor help
Posted 1 year ago
Question
Solve for
p
p
p
.
\newline
8
=
p
8 = \sqrt{p}
8
=
p
\newline
p
=
p =
p
=
_____
Get tutor help
Posted 1 year ago
Question
Solve for
p
p
p
.
\newline
4
p
=
10
+
3
p
\sqrt{4p} = \sqrt{10 + 3p}
4
p
=
10
+
3
p
\newline
p
=
p =
p
=
_____
Get tutor help
Posted 10 months ago
Question
What is the domain of this function?
\newline
y
=
x
y = \sqrt{x}
y
=
x
Get tutor help
Posted 10 months ago
Question
Solve for
p
p
p
.
\newline
8
=
p
8 = \sqrt{p}
8
=
p
\newline
p
=
p =
p
=
_____
Get tutor help
Posted 1 year ago
Question
Find the derivative of
p
(
x
)
p(x)
p
(
x
)
.
\newline
p
(
x
)
=
ln
(
x
)
p(x) = \ln(\sqrt{x})
p
(
x
)
=
ln
(
x
)
\newline
p
′
(
x
)
=
p' (x) =
p
′
(
x
)
=
______
Get tutor help
Posted 1 year ago
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%
below average.
\newline
Which number type is more appropriate for the domain of
H
H
H
?
\newline
Choose
1
1
1
answer:
\newline
(A) Integers
\newline
(B) Real numbers
Get tutor help
Posted 1 year ago
Question
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.
\newline
It takes
198
198
198
seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of
−
418
-418
−
418
meters.
\newline
The highest place possible is the summit of Mount Everest which has an altitude of
8848
8848
8848
meters. It takes
209
209
209
seconds to boil a perfect egg there.
\newline
T
(
a
)
T(a)
T
(
a
)
models the time (in seconds) it takes to boil a perfect egg at an altitude of
a
a
a
meters.
\newline
Which number type is more appropriate for the domain of
T
T
T
?
\newline
Choose
1
1
1
answer:
\newline
(A) Integers
\newline
(B) Real numbers
Get tutor help
Posted 1 year ago
Question
f
(
x
)
=
x
−
1
f(x)=\sqrt{x-1}
f
(
x
)
=
x
−
1
\newline
The function
f
f
f
is defined. What is the value of
f
(
10
)
f(10)
f
(
10
)
?
Get tutor help
Posted 1 year ago
Question
h
(
x
)
=
4
x
h(x)=\sqrt{4 x}
h
(
x
)
=
4
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
Get tutor help
Posted 1 year ago
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Algebra - Order of Operations
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