Answer:
y<= 3x-1
Step-by-step explanation:
When it comes about inequalities, keep in mind the following
the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign
So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied
The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.
So the answer is y<= 3x-1
Answer:
If a number is even is the conditional statement.
Step-by-step explanation:
The phrase that starts with "if" is the hypothesis for conditional statement. The phrase that starts with "then" is conclusion for the statement.
Here, the statement is "If a number is even then it is divisible by 2".
Hypothesis = If a number is even
Conclusion = It is divisible by 2
Let 
be the amount of food needed for one man for one day. At the beginning, we have enough food for 400 men for 40 days, i.e.
After 10 days, the 400 men will have consumed
food, impliying that the food remaining is
If 200 more men join the garrison, there are now 600 men. Each of them requires food each day, and there are 
units of food remaining. They will last
days.
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:
I am pretty sure it's A and I am very sorry if I'm wrong
Step-by-step explanation:
The way I would think about this question is this: because Jordan only wants to work a maximum of 40 hours, he can work 40 hours or less. Which is described as an equation in the top equation of letter A. And because he also wants to make $250 or more, the bottom equation in A would work as well.
I hope that makes sense! Please ask me in the comments if you want more explanation on it
