anonymous
  • anonymous
FAN AND MEDAL***
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Which of the following inequalities is modeled by the graph? A)2x + 5y ≥ 14; x ≥ 0 B)2x + 5y ≤ 14; x ≥ 0 C)2x − 5y ≤ 14; x ≥ 0 D)−2x − 5y ≤ 14; x ≥ 0
anonymous
  • anonymous
@ganeshie8 @phi @igreen
Haseeb96
  • Haseeb96
well both x and y values are in +ve quadrant so answer must have +ve signs of x and y values now tell me what can be the answer

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anonymous
  • anonymous
its A? @Haseeb96
mathstudent55
  • mathstudent55
It can't be A, because in A, the shaded part is above the line.
anonymous
  • anonymous
so.. idk
mathstudent55
  • mathstudent55
|dw:1438790214899:dw|
mathstudent55
  • mathstudent55
When the equation of the line is written in y = mx + b form, then the shading is below the line when the equal sign is replaced with < or <=.
mathstudent55
  • mathstudent55
You have shading below the line, so your equation must be of the form \(y \le mx + b\) It can't be \(y \ge mx + b\)
mathstudent55
  • mathstudent55
A)2x + 5y ≥ 14 ----> y ≥ -2/5 x + 14/5 B)2x + 5y ≤ 14 ----> y ≤ -2/5x + 14/5 C)2x − 5y ≤ 14 ----> y ≥ 2/5 x - 14/5 D)−2x − 5y ≤ 14 ----> y ≥ -2/5 x - 14/5
anonymous
  • anonymous
wait im thinking
mathstudent55
  • mathstudent55
The inequality has to have a negative slope (A, B, D), a positive y-intercept (A, B), and a \(\le\) sign (B, C, D). Which is the only letter in common in those characteristics?
anonymous
  • anonymous
B? @mathstudent55
mathstudent55
  • mathstudent55
Yes.

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