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anonymous
 one year ago
Which inequality matches the graph?
**picture in comments
anonymous
 one year ago
Which inequality matches the graph? **picture in comments

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@satellite73 @Hero @Luigi0210

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1hint: we have a solid line so we need the inequality to have \[\geq \] or \[\leq \] another hint: let (0,0) be a test point. plug in x =0 and y = 0 to see if it works. By the looks of the graph, it seems that the test is gonna fail because (0,0) isn't shaded. find that false case!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you realize, the straight line cross with yaxis at (aprox) (0 , 3.5) and with the xaxis at (aprox) (2.5 , 0), and the formula of the slope is \[m=\frac{ y _{2}y _{1} }{ x _{2}x _{1} }\] replacing we get \[\frac{ 3.5  0 }{ 0  2.5 }=\frac{ 3.5 }{ 2.5 }=\frac{ 7 }{ 5 }\] and with the formula of pointslope \[yy _{1}=m(xx _{1})\] replacing we get \[y3.5=\frac{ 7 }{ 5 } (x0)\] which is equal to \[y=\frac{ 7 }{ 5 }x+\frac{ 7 }{ 2 }\] but aparently the point isnt (2.5 , 0) so the best aproximation is the alternative C, im sorry but i cant see the exact point :(

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1nice one @Natriumhydrid even I got it as C too... in a different way based on using (0,0) as a test point and see that the graph doesn't have (0,0) shaded it means that plugging in x = 0 and y =0 into one of the inequalities with the greater than sign will produce a false result. Moreover, we have a solid line, so we have to look for an inequality that's false and has the \[\geq \] sign. \[3x+2y\geq 7\]
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