Mathematics, 28.09.2019 22:00 angelyce4142

Select the point that is a solution to the system of inequalities

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Answer from: othello58

Hello!

The answer is:

The point C. (2,6) is a solution to the system of inequalities.

Why?

To check what point is a solution to the system of inequalities, the point must satisfy both inequalities, so:

We are given the inequalities:

$yx^{2}-4$

Checking, we have:

- Substituting A(0,8), we have:

First inequality,

Now, since 8 is not less than 6, we know that A (0,8) is not a solution to the system of inequalities since it does not satisfy both inequalities.

- Substituting B(4,2), we have:

First inequality,

Second inequality,

$yx^{2}-4\\24^{2}-4\\216-4\\212$

Now, since 2 is not greater than 12, we know that B(4,2) is not a solution to the system of inequalities since it does not satisfy both inequalities.

- Substituting C(2,6), we have:

First inequality,

Second inequality,

$yx^{2}-4\\62^{2}-4\\64-4\\60$

Now, as we can se, both inequalities are satisfied since 6 is less than 10 and greater than 0, so C(2,6) is a solution to the system.

- Substituting D(-2,-4)

Second inequality,

$yx^{2}-4\\-42^{2}-4\\-44-4\\-40$

Now, since -4 is not greater than 0, we know that D(-2,-4) is not a solution to the system of inequalities since it does not satisfy both inequalities.

Hence,

Only the point C. (2,6) is a solution to the system of inequalities.

Have a nice day!

Answer from: alexis539

The correct answer option is C. (2, 6).

Step-by-step explanation:

We are given the following inequalities so we will check each point if it satisfies them:

yx^2-4

A. (0, 8):

---> - False

yx^2-4 ---> 80^2-4 = 8 -4 - True

B. (4, 2):

---> - True

yx^2-4 ---> 24^2-4 = 2 12 - False

C. (2, 6):

---> - True

yx^2-4 ---> 62^2-4 = 6 0 - True

D. (-2, -4):

---> - True

yx^2-4 ---> -4(-2)^2-4 = -4 0 - False

Therefore, the point which is the solution to this system of inequalities is C. (2, 6).

Answer from: Quest

is there any photos or whatever?

Answer from: Quest

25 questions , because they start with 100.

350-100=250 .

. 250/10=25

step-by-step explanation:

first take off 100, then what x 10 = 250? that is your answer. (25)

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Select the point that is a solution to the system of inequalities
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