Answer:
45
Step-by-step explanation:
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.
I hope this helps you
42/98
2.3.7/2.7.7
3/7
The number of pages in the book is actually irrelevant.
Franco reads 30 pages in 1 night. To find how many pages he reads in 7 nights, just multiply by 7.
30*7=210
Franco reads 210 pages in 7 nights.
Solving with Equivalent Ratios:
The ratio of pages he reads per night is 30:1. We need to figure out the ratio <em>x</em>:7, where the variable <em>x</em> is the number of pages he reads in 7 nights.
30:1=<em>x</em>:7
To find x we need to see the similarity between both ratios. This is found by dividing two of the equal sides, here it would be 7 and 1.
7/1=7
This means that the second ratio is 7 times the first ration. To find <em>x</em>, just multiply 30 by 7.
30*7=210
Franco reads 210 pages every 7 nights.
Hmm
what you do is try to eliminate 1 variable in 2 equaions first
we can elminate x's in first and 2nd equation
add first and 2nd equation
x+3y-2z=10
<u>-x-2y+z=-7 +</u>
0x+y-z=3
y-z=3
multiply 2nd equation by 3 and add to last one
-3x-6y+3z=-21
<u>3x+9y-5z=28 +</u>
0x+3y-2z=7
3y-2z=7
we now have
y-z=3
3y-2z=7
multiply first equation by -2 and add to 2nd
-2y+2z=-6
<u>3y-2z=7 +</u>
y+0z=1
y=1
now we can sub back
y-z=3
1-z=3
minus 1
-z=2
times -1
z=-2
sub baack into any equation
x+3(1)-2(-2)=10
x+3+4=10
x+7=10
minus 7
x=3
x=3
y=1
z=-2
(3,1,-2)
