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krek1111 [17]
3 years ago
11

Which graph shows the solution to the system of linear inequalities?

Mathematics
2 answers:
tangare [24]3 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

  • y ≥ 2x + 1
  • y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

seraphim [82]3 years ago
3 0

Graph no 2

Proof attached .

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Answer:

The salespeople earn for the sale of a suit = $13.

The salespeople earn for the sale of a pair of shoes = $8.

Step-by-step explanation:

Let x be the commission for each suit and y be commission for each pair of shoes.

We have been given that for selling 3 suits and one pair of shoes, Carla has earned $47 in commission. We can represent this information as:

3x+y=47...(1)

We are also told that for selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. We can represent this information as:

7x+2y=107...(2)

We will use substitution method to solve our system of linear equations. From equation (1) we will get,

y=47-3x

Substituting this value in equation (2) we will get,

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Upon combining like terms we will get,

7x-6x=107-94

x=13

Therefore, the salespeople earn $13 for the sale of a suit.

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Therefore, the salespeople earn $8 for the sale of a pair of shoes.

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The ardered.pairs.(0, 1), (3, 10) and (4, n) are solutions of the same linear equation. Find n.
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Answer:

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Step-by-step explanation:

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When x = 4 y = n,  so:

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n = 13.

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