<span>3x+30+6=3x+36</span>
<span>⇒3x+36=3x+36</span>
<span>⇒3x−3x=36−36</span>
<span>⇒0⋅x=0
</span>infinite solutions of <span>x </span><span> for all </span><span> x∈<span>R
</span></span>
Answer:
1.8
Step-by-step explanation:
The graph of the problem is plotted using Asymptote and attached.
From the graph:
- 6 Families had 0 Pets
- 3 Families had 1 Pets
- 3 Families had 2 Pets
- 6 Families had 3 Pets
- 1 Family had 4 Pets
- 1 Family had 5 Pets
There are a total of 20 families.
Average Number of Pets
The average number of pets per family is 1.8.
There are 59 integer solutions
Such questions are best solved by writing cases and calculating the total number of cases. So beginning with
1) x = -3. The possible combinations are as follows:-
-3 2 13
-3 3 12
-3 4 11
-3 5 10
-3 6 9
-3 7 8
-3 8 7
-3 9 6
-3 10 5
-3 11 4
10 combinations
2) x = -2
-2 2 12
through
-2 11 3
10 combinations
3) x = -1
-1 2 11
through
-1 10 3
9 combinations
4) x = 0
0 2 10
through
0 9 3
8 combinations
as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.
Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.
Learn more about combinations here :
brainly.com/question/13387529
#SPJ1
For the problem are you supposed to be solving for x
