Part A:
An example of a system of inequalities that would only have D and F as solutions is
and
. These would both be dotted lines since its not greater than or equal to, and they would be shaded in the upper region since its greater than.
Part B:
You can verify by plugging in the coordinates of D and F into both inequalities. If the coordinates are true for both inequalities, then they are in the overlapping shaded region.
D = (2,4)
F = (-2,3)
true
true
Part C:
You can either plug the inequality into a graph. If the coordinate is in the shaded region, in this context it would be able to raise chickens in that farm.
The other option is plugging in the coordinates of each farm into the inequality. If the inequality is true for those coordinates, then that farm can raise chickens.
Answer:

Step-by-step explanation:
Given

Required
Which illustrates distributive property of multiplication over addition
The property states that:

By comparison

So, we have"


Answer:
Choice A, x=1
Step-by-step explanation:
So, to start, there's two routes that you can take there. I am going to show one of these routes.
Within the image, you see two triangles, you are able to tell that these triangles share two of the same sides, because of congruency lines on each of them.
The first group of congruent sides have 1 line going through them, the second group has 2 lines going through them. Let's go with the first group.
With the first group, we are using the lines CB and FE, where the measurements on each of them are 3x+1 and x+3 respectively.
Since they are congruent, they are equal and we can just set them equal to each other.
Starting With:
3x+1 = x+3
Step 1) Cancel out the +1
3x+1 -1 = x+3 -1
3x = x+2
Step 2) Cancel out the x
3x -x = x+2 -x
2x = 2
Step 3) Divide by 2 get x by itself
2x/2 = 2/2
x=1
All done!
Answer:
Do it yourself
Step-by-step explanation: Cheating is not a good way, what are you gonna do when you can't cheat?
Answer:
The experimental probability of the outcome is 1/4
Step-by-step explanation:
If Samuel's experiment probability was 0.25, this depicts that the experimental probability of the outcome is 1/4, because:
1/4=0.25
It's not the theoretical probability, because Samuel's developed an experiment, it cannot be theoretical, he has experimental evidences.