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stealth61 [152]
2 years ago
13

Which system of inequalities is graphed below

Mathematics
2 answers:
Anna [14]2 years ago
6 0
The closest to this was letter C

hope that helps, God bless! 
suter [353]2 years ago
4 0

Answer:

<em>Option D</em>

Step-by-step explanation:

Let's explain why the Option D is correct :

  • The Parabola equation:  $x \leq y^2 - 8$

This is a parabola equation <em>with vertex at x = -8.</em>

Despite that the "traditional equation" is $ y=x^2 + b $  in this case  the parabola equation is plotted in the X axis<em> and </em>has a $ sign which indicates that X will take values less and equal than $ y^2 -8 $

<u><em>The graph of the parabola is attached to the answer.</em></u>

  • The hyperbola equation: $ {x^2 /{3^2}} - {y^2 / {5^2}} > 1 $

This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)

The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.

It's similar to the previous case of the parabola, Despite that the "traditional equation"  of the Hyperbola : $ {x^2 /{a^2}} - {y^2 / {b^2}} = 1 $  in this case  the hyperbola  equation has a $ > $ sign which indicates that hyperbola will take values greater than those who correspond to $ {x^2 /{3^2}} - {y^2 / {5^2}} = 1 $

<u><em>The graph of the Hyperbola is also attached</em></u>

Finally we deduce  that the  D system of inequalities is the correct one.

<u><em>Also the answer is attached</em></u>.

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