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Ede4ka [16]
3 years ago
6

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

Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

D. (2, 6)

Step-by-step explanation:

Look at the picture.

Check:

(2, 6) → x = 2, y = 6

Put the coordinates of the point to the inequalities:

y < x² + 6

6 < 2² + 6

6 < 4 + 6

6 < 10    TRUE

y > x² - 4

6 > 2² - 4

6 > 4 - 4

6 > 0   TRUE

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In a competition between players X and Y, the first player to win three games in a row or a total of four games wins. How many w
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Answer:

The competition can be played in 7 different ways

Step-by-step explanation:

First game : X

Second game : Y

Third game : Y

After that either X or Y can win

<h3>¹Case - 1: Y wins the fourth game:</h3>

The competition ends with Y winning as he/she won 3 games in a row

<h3>Case - 2: X wins the fourth game:</h3>

more games are required to decide the winner

<h3>Sub-case - a: X wins the fifth game:</h3>

more games are required to decide the winner

<h3>²Sub-sub-case - i: X wins the sixth game:</h3>

The competition ends with X winning as he/she won 3 games in a row

<h3>³⁻⁴Sub-sub-case - ii: Y wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

<h3>Sub-case - b: Y wins the fifth game:</h3>

more games are required to decide the winner

<h3>⁵Sub-sub-case - i: Y wins the sixth game:</h3>

The competition ends with Y winning as he/she won 4 games in total

<h3>⁶⁻⁷Sub-sub-case - ii: X wins the sixth game:</h3>

The competition ends after the seventh game. Whoever wins seventh game wins the competition as he/she would've won 4 games in total by then.

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Step-by-step explanation:

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