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Tems11 [23]
3 years ago
13

Write and solve an inequality to represent the situation.

Mathematics
1 answer:
True [87]3 years ago
8 0

Answer:

x ≥ 25/9

Step-by-step explanation:

7x + 6 ≥ 31 - 2x

7x ≥ 25 - 2x

9x ≥ 25

x ≥ 25/9

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How many solutions does the equation have, x1 + x2 + x3 = 10 , where x1 , x2, and x3 are non-negative integers?
MAVERICK [17]

Non-negative integers are positive integers or zero.

1. When x_1=0, then there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=10;
  • x_2=1,\ x_3=9;
  • x_2=2,\ x_3=8;
  • x_2=3,\ x_3=7;
  • x_2=4,\ x_3=6;
  • x_2=5,\ x_3=5;
  • x_2=6,\ x_3=4;
  • x_2=7,\ x_3=3;
  • x_2=8,\ x_3=2;
  • x_2=9,\ x_3=1;
  • x_2=10,\ x_3=0.

In total 11 solutions for x_1=0.

2. For x_1=1, there are such possible cases for x_2 and x_3:

  • x_2=0,\ x_3=9;
  • x_2=1,\ x_3=8;
  • x_2=2,\ x_3=7;
  • x_2=3,\ x_3=6;
  • x_2=4,\ x_3=5;
  • x_2=5,\ x_3=4;
  • x_2=6,\ x_3=3;
  • x_2=7,\ x_3=2;
  • x_2=8,\ x_3=1;
  • x_2=9,\ x_3=0.

In total 10 solutions for x_1=1.

3. This process gives you

  • for x_1=2 - 9 solutions;
  • for x_1=3 - 8 solutions;
  • for x_1=4 - 7 solutions;
  • for x_1=5 - 6 solutions;
  • for x_1=6 - 5 solutions;
  • for x_1=7 - 4 solutions;
  • for x_1=8 - 3 solutions;
  • for x_1=9 - 2 solutions;
  • for x_1=10 - 1 solution.

4. Add all numbers of solutions:

11+10+9+8+7+6+5+4+3+2+1=66.

Answer: there are 66 possible solutions (with non-negative integer variables)

8 0
3 years ago
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Please help ASAP!!!!!!!
AveGali [126]

Answer: 63.3

Step-by-step explanation:

9.5v + 8.7w

v = 3

w = 4

9.5(3) + 8.7(4)

28.5 + 34.8

63.3

8 0
2 years ago
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The graph below represents which system of inequalities?
mamaluj [8]
The graph below represents y < 2 over 3x − 2 | <span>y > 2x + 2</span> system of inequalities. The answer is letter C. The rest of the choices do not answer teh qustion above
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Which function describes this table of values? x:10,5,0,-5 y:8,4,0,-4
katrin [286]

Answer:

First option

Step-by-step explanation:

You can plug in values and verify.

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3 years ago
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Solve for x : Y=3x- 8<br> Y=-4x+6
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3X-8=-4X+6 7X-8=6 7X=14 X=14\7=2
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