How do you solve this?

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Explanation:

If we plugged (x,y) = (0,8) into the first inequality, then we get

y < x^2+6

8 < 0^2+6

8 < 0+6

8 < 6

which is false. So we can rule out choice A.

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Trying choice B leads us to

y < x^2+6

2 < 4^2+6

2 < 16+6

2 < 22

That last statement is true, so the first inequality is true for (x,y) = (4,2)

Let's try the other inequality

y > x^2-4

2 > 4^2-4

2 > 16-4

2 > 12

That's false. Since one of the inequalities is false (it doesn't matter which one), this means the entire system is false. We cross choice B off the list.

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Now onto choice C

You should find that y < x^2+6 becomes -4 < 10 after plugging in (x,y) = (-2,-4). Since -4 < 10 is true, we move onto the next inequality.

The inequality y > x^2-4 becomes -4 > 0 after plugging in those mentioned x,y values. The inequality -4 > 0 is false.

We cross choice C off the list.

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The only thing left is choice D. It has to be the answer.

Let's find out if we get true inequalities when plugging in (x,y) = (2,6)

y < x^2+6

6 < 2^2+6

6 < 10 ... true

and

y > x^2-4

6 > 2^2-4

6 > 4-4

6 > 0 .... also true

Both inequalities are true, so the entire system is true. Therefore, (x,y) = (2,6) is one of the infinitely many solutions to this system.

Choice D is confirmed as the answer

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Refer to the diagram below. I've graphed the two dashed boundary curves and the shaded region between. This region is above the y = x^2-4 curve, and below the y = x^2+6 curve. So we're ignoring the stuff above the y = x^2+6 curve.

Points A through D represent the four answer choices in the order given. We see that point D is the only point in the shaded region, so that visually confirms we have the correct answer.

Note: points on the dashed boundaries do not count as solutions.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all