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Inessa05 [86]
3 years ago
12

The boundary lines for the system of inequalities is given in the graph.

Mathematics
2 answers:
diamong [38]3 years ago
4 0

Answer:

C)

region C

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

\displaystyle y ≤ -x + 2

0 ≤ 2 ☑ [We shade the portion of the graph that CONTAIN THE ORIGIN, which is the bottom portion.]

\displaystyle y ≥ 2x - 3

0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]

So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.

I am joyous to assist you anytime.

Goshia [24]3 years ago
4 0

Answer:

C.

Step-by-step explanation:

on edg 2020 :)

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How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

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For instance, if I divide the set into parts {1,2,4}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

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Once one makes that observation, the rest of the proof is straightforward. There are 25=32

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8 0
4 years ago
Evaluate the expression. (6-2)[(2+3)+4<br> A) 9 <br> B) 13 <br> C) 24<br> D)36
Kipish [7]
(6-2)(2+3)+4

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7 0
3 years ago
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Setler79 [48]

Answer:

{24x}^{2} + 42x - 12

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3 years ago
Write 11/3 decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
liraira [26]

Answer:

3.66666...

Step-by-step explanation:

6 0
3 years ago
12.65-(-6)(0.2)+1=?<br><br> Please help i just need the work but im so lost help me.
s344n2d4d5 [400]

Answer:

14.85

Step-by-step explanation:

The two negatives at the beginning cancel eachother out so it becomes 12.65 +6 but first you have to multiply the 6 by 0.2 which you get 1.2 and you add 1 and get 14.85

^^^^^^^^^^^

12.65+1.2+1

5 0
3 years ago
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