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olasank [31]
3 years ago
6

PLEASE HELP ASAP. Which graph represents this system of inequalities? y < or equal to -3x -2 y > or equal to 2x + 1

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
<span>To solve the problem shown above, you must apply the following proccedure:

 1. You have the following system of inequalities given in the problem above:
</span>
 y≤-3x -2
 y≥<span>2x + 1

 2. When you graph the equations of the line: </span>y =-3x-2 y ; y =2x + 1, and then you evaluate the inequalities, you can obtain the region formed in the first graph.
<span>
 Therefore, the answer is: The graph that represents the system of inequalities is the Graph Number 1.</span>
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Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69    Eqn 1

y=x+5    Eqn 2

z=2x    Eqn 3

Putting Eqn 2 and 3 in Eqn 1

x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64

Dividing both sides by 4;

\frac{4x}{4}=\frac{64}{4}\\x=16

Putting x=16 in Eqn 2

y=16+5=21

Putting x=16 in Eqn 3

z=2(16)=32\\

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

Learn more about addition at:

  • brainly.com/question/10882895
  • brainly.com/question/10883914

#LearnwithBrainly

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Answer:

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General Formulas and Concepts:

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Step-by-step explanation:

<u>Step 1: Define equation</u>

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<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 8 on both sides:                    -6=-\frac{6}{4} x
  2. Divide both sides by -6/4:                   4=x
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<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

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