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]}
10\div 310÷3
AVAILABLE METHODS
1
Set up the long division.
3|10
2
Calculate 10 ÷ 3, which is 3 with a remainder of 1.
33|1091
3
Therefore, 10 ÷ 3 = 3 with a remainder of 1.
3 \text{ with a remainder of } 13 with a remainder of 1
Done
Decimal Form: 3.333333
A=3.......................
Just a guess, but the angle inside the triangle that's not x or y is the remaining angle after subtracting the 30 degrees shown. That makes the non labeled angle inside the triangle 150 degrees. since all triangles are 180 degrees, this means x and y add up to 30. They look roughly the same, so i'd guess they're both 15 degrees.
Answer:
The difference is 6.74 * 10^-3 centimeters
Step-by-step explanation:
Firstly, we need to write the numbers as they would occur normally
we have this as;
7.65 * 10^-3 = 0.00765
9.1 * 10^-4 = 0.00091
So by subtracting, we have it that we subtract the value of the diameter of the cell N from that of the cell M since it is a bigger number
we have this as;
0.00765 - 0.00091 = 0.00674 and in scientific form is 6.74 * 10^-3 centimeters