Answered

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A system of inequalities is shown.

The graph shows a dashed upward opening parabola with a vertex at negative 2 comma negative 6, with shading inside the parabola. It also shows a dashed line passing through the points negative 3 comma negative 5 and 0 comma 4, with shading below the line.

Which system is represented in the graph?

Sagot :

varshamittal029

The required system hence becomes

3x-y+4>0,

y + 6 > (x + 2)²

When the symbols “>”, “<”, “≥”, “≤”,  are used to connect two real numbers or algebraic expressions, that relationship is known as an inequality.

The Graph is given below of the given problem statement.

Observe that the parabola y=x² has vertex at (0,0) we can shift the vertex to (-2,-6) to get the parabola

y + 6 = (x + 2)²

And the inequality is

y + 6 > (x + 2)²

Hence, this parabola is as required by the problem.

And the line passing through (-3,-5) and (0,4) is

[tex]\frac{\left(y-4\right)}{\left(-5-4\right)}=\frac{\left(x\right)}{-3}[/tex]

The required inequality hence becomes

3x-y+4>0

Learn more about inequalities here-

brainly.com/question/20383699

#SPJ10

View image varshamittal029
View image varshamittal029
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