Set the radicand in
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
Answer:
Graph C
Step-by-step explanation:
It is graph C because it starts at $60 (the gas) and goes up $20 every hour (the hourly payment)
Answer:
Detailed explanation of the answer is given in the attached files. Please have a look.
Step-by-step explanation:
1 yard = 3 feet.
Multiply the length of the truck by 3 to get total feet:
6 x 3 = 18 feet.
Subtract the length of the truck from the length of the parking space:
20 - 18 = 2 feet
1 foot = 12 inches.
Multiply 2 feet by 12:
2 x 12 = 24 inches longer.
Answer:
V = 2304π units³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = πr³ ( where r is the radius ) , then
V = π × 12³
= π × 1728
= 4π × 576
= 2304π units³