Answer:
Step-by-step explanation:
x
2
+
x
−
6
=
(
x
+
3
)
(
x
−
2
)
x
2
−
3
x
−
4
=
(
x
−
4
)
(
x
+
1
)
Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:
x
=
−
3
,
−
1
,
2
,
4
Note that when
x
is large, the
x
2
terms will dominate the values of the numerator and denominator, making both positive.
Hence the sign of the value of the rational expression in each of the intervals
(
−
∞
,
−
3
)
,
(
−
3
,
−
1
)
,
(
−
1
,
2
)
,
(
2
,
4
)
and
(
4
,
∞
)
follows the pattern
+
−
+
−
+
. Hence the intervals
(
−
3
,
−
1
)
and
(
2
,
4
)
are both part of the solution set.
When
x
=
−
1
or
x
=
4
, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).
When
x
=
−
3
or
x
=
2
, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.
Hence the solution is:
x
∈
[
−
3
,
−
1
)
∪
[
2
,
4
)
graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}
Answer:
the width is 24
Step-by-step explanation:
The area of a regular octagon is given by:
A = (4) * (L) * (ap)
Where,
L: side
ap: apotema
Substituting values we have:
A = (4) * (19) * (16)
A = 1216 square inches
Answer:
The area of a regular octagon with an apothem 16 inches long and a side 19 inches long is:
A = 1216 square inches
Answer:
769/70
Step-by-step explanation:
5 2/7 = 37/7
5 7/10 = 57/10
The lowest common multiple is 70
37*10/(7 * 10) = 370/70
57/10 = 57*7/(7*10) = 399/70
Now add
370/70 + 399/70
769/70
Is 769 prime? I think it might be.
Yes it is.
The answer is A
Hope this helps!
