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4 years ago

Thank you for any help!

Mathematics

1 answer:

Inessa05 [86]4 years ago

7 0

Answer: Option B.

Step-by-step explanation:

Given the system of inequalities:

$y$

$y>x^2-4$

The solution of the system of inequalities is the region between the parabolas. This region is: below the parabola $y=x^2+6$ and above the parabola $y=x^2-4$

Then, if a point is a solution of the system, then it must be in the region between this parabolas.

You can observe in the figure attached that the point that is in this region is the point (2,6), therefore, the answer is the option B.

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Talja [164]

Answer:

$-x+4y$

Step-by-step explanation:

Given: graph

To find:the inequality

Solution:

Equation of a line passing through points $(x_1,y_1),(x_2,y_2)$ is given by $y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Take $(x_1,y_1)=(0,3),(x_2,y_2)=(4,4)$

So,equation of line is evaluated as follows:

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As per the graph,inequality is $-x+4y$

Here, use sign < and not $\leq$ as line in the graph is dotted that is points on the line are excluded.

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3 years ago

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Akimi4 [234]

Answer:

Step-by-step explanation:

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