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oksano4ka [1.4K]
2 years ago
15

A two-variable inequality is shown in the graph. upward opening parabola which is solid with vertex at 1 comma 2, travels throug

h points negative 1 comma 6 and 3 comma 6, with shading inside the curve Which point is not included in the solution set for the inequality?
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

The point among the answer choices which is not in the solution set of the inequality is; (-1, 3).

<h3>Which point is not included in the solution set of the inequality?</h3>

It follows from the task content that the vertex of the two-variable inequality in discuss is; (1, 2).

On this note, it follows that; the two variable inequality described by a parabola opening upward can be written by means of its vertex as;

y >= (x - (1))² + 2

y >= (x-1)² + 2.

By testing points among the answer choices, the point which is not part of the solution set is; (-1,3).

This follows from the fact that; at x=-1;

The value of y is;

y >= (-1-1)² +2

y >= 6

Hence, since the value of y= 3 which is less than, 6, it follows that the point (-1,3) is not in the solution set.

Remarks: The answer choices in the complete question are as follows;

(–1, 3)

(0, 4)

(1, 5)

(2, 4)

Read more on solution set of inequalities;

brainly.com/question/12681658

#SPJ1

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Answer:

Minor earthquakes occurred in the country in the last​ year were<u> 2326</u>.

Step-by-step explanation:

Given:

In the last​ year, a total of 2727 earthquakes occurred in the country.

Of​ these, 85.3 % were minor tremors with magnitudes of 3.9 or less on the Richter scale.

Now, to find the minor earthquakes occured in the country last year.

<em>Total earthquakes occurred in the country = 2727.</em>

<em>The percent of minor earthquakes = 85.3%</em>.

Now, to get the number of minor earthquakes:

85.3% of 2727.

=\frac{85.3}{100} \times 2727.

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Therefore, minor earthquakes occurred in the country in the last​ year were 2326.

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Answer:

See below.

Step-by-step explanation:

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We are given:

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