First two are scalene last one is isosceles.
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]}
The <em>approximate increase</em> in Area of the parking lot is about 133%
Area of a rectangle = Length × width
<u>Initial Area of parking lot</u> :
- 75 feets × 150 feets = 11250 ft²
<u>New Area of parking lot</u> :
Width = 75 + 100 = 175 feets
Length = 150 feets
Area = 175 × 150 = 26250 ft²
<u>Percentage increase in </u><u>Area</u><u> </u><u>of lot</u> :
((16250 - 11250) / initial Area) × 100%
(15000 / 11250) × 100% = 133.33%
Therefore, the <em>approximate increase</em> on area of lot is 133%
Learn more : brainly.com/question/18109354
Answer:
3/4
Step-by-step explanation:
Take Kitzen's number of raffle tickets and put them over Ava's tickets to give you 12/16 and the simplify which gives you 3/4 because the fraction is divisible by 4.
Answer:
I guess it is 236 cm squared
Step-by-step explanation:
