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krok68 [10]
3 years ago
5

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?

Mathematics
2 answers:
Solnce55 [7]3 years ago
6 0
The answer is graph B. Have a nice day!
Monica [59]3 years ago
5 0

Answer:

The graph B (see the attached figure)

Step-by-step explanation:

we have

2x+5y\leq 9 -------> inequality A

3x+5y\leq 9 -------> inequality B

Using a graphing tool   ------> solve the system of inequalities

The solution is the shaded area

see the attached figure        


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8

x

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(

2

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(

4

x

2

−

5

x

+

6

)

Now let's distribute this piece by piece:

(

2

x

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(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

)

=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

)

(

−

5

x

)

=

−

15

x

(

3

)

(

6

)

=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

+

18

Step-by-step explanation:

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