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:
see below
Step-by-step explanation:
Except for the stretch factor, your work is completely correct. Multiplying only the x-coordinate by a factor of 2 results in a horizontal stretch by that factor.
Your coordinates and graph are correct.
In the comparison, you just need to say what happened.
Answer:
The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Step-by-step explanation:
Given the equation
y + 5 = 3(x - 1)
Writing in the slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept
y = 3(x-1) -5
y = 3x-3-5
y = 3x - 8
Thus, the slope = m = 3
We know that the parallel lines have equal slopes.
So, the slope of a parallel line is also 3
Using the point-slope form of the line equation

substituting the values m = 3 and the point (3, -4)
y-(-4)=3(x-3)
y+4 = 3x-9
y = 3x-9-4
y = 3x-13
Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Answer:
21 is a composite number
Step-by-step explanation:
It is a composite because multiple numbers can go in it like 3 and 7 so it is a composite number
Answer:
D. We are 95% confident that the proportion of all Americans who say that race relations in this country are generally bad is between 58% and 64%.
Step-by-step explanation:
The 95% confidence interval refers that 95% of data is correct with respect of the population
Given that 95% confidence interval is (0.58, 0.64)
So based on this, the option D is correct as it shows the right thing with regard to 95% confidence interval
Therefore all the other options are incorrect as the first option is of probability, the second option is the sample, and the third option is of statement form i.e not standardized.