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Nady [450]
3 years ago
14

The sum of two consecutive odd integers is −144. find the two integers.

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0
X+(x+2)=144
2x+2=144
2x=142
x=71
the two consecutive odd integers are 71 and 73
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Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and<br> z ≥ 3.
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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

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-3 10 5

-3 11 4

10 combinations

2) x = -2

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through

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3) x = -1

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through

-1 10 3

9 combinations

4) x = 0

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through

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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

5 0
2 years ago
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