Answer:
π/2 units to the left
Step-by-step explanation:
To shift a function to the <em>right</em> by h units, replace x with (x -h). Here, the value of h is -π/2, so the function is shifted the opposite of right.
The function is shifted to the left by π/2 units.
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:
44/5
Step-by-step explanation:
Simplify the following:
(6 + 3/5)/(3/4)
Multiply the numerator of (6 + 3/5)/(3/4) by the reciprocal of the denominator. (6 + 3/5)/(3/4) = ((6 + 3/5)×4)/3:
((6 + 3/5)×4)/3
Put 6 + 3/5 over the common denominator 5. 6 + 3/5 = (5×6)/5 + 3/5:
((5×6)/5 + 3/5 4)/3
5×6 = 30:
((30/5 + 3/5)×4)/3
30/5 + 3/5 = (30 + 3)/5:
((30 + 3)/5×4)/3
30 + 3 = 33:
(33/5×4)/3
33/5×4 = (33×4)/5:
((33×4)/5)/3
((33×4)/5)/3 = (33×4)/(5×3):
(33×4)/(5×3)
3 | 1 | 1
| 3 | 3
- | 3 |
| | 3
| - | 3
| | 0:
(11×4)/5
11×4 = 44:
Answer: 44/5
Answer:
15
Step-by-step explanation:
Each bracelet takes 28+10 = 38 elastic bands. If you have 600 bands, you can make ...
600/38 = 15 30/38 . . . bracelets
You can make 15 complete bracelets.
__
You will have 30 elastic bands left over.