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vazorg [7]
3 years ago
9

Which is the best interpretation of the solution set for the compound inequality?

Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

  all real numbers

Step-by-step explanation:

Here is the solution to the first inequality:

  3(2x +1) > 21 . . . . . . given

  6x +3 > 21 . . . . . . . . eliminate parentheses

  6x > 18 . . . . . . . . . . .subtract 3

  x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

__

The solution to the second inequality is ...

  4x +3 < 3x + 7 . . . . given

  x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

__

The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.

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four distinct circles are drawn in a plane. what is the maximum number of points where at least two of the circles intersect?
kolezko [41]

90 points where at least two of the circles intersect.

<h3>Define circle.</h3>

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

Given,

Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.

90 points where at least two of the circles intersect.

To learn more about circle, visit:

brainly.com/question/11213974

#SPJ4

3 0
1 year ago
-4c - 11 = 4c +21<br><br> Please help! I have literally no idea
MissTica
<span> -4c - 11 = 4c +21                                        add 4c to both sides
</span>
<span> -4c - 11 + 4c = 4c + 21 + 4c                        simplify

- 11 = 8c + 21</span>                                <span>               subtract 21 from both sides

- 11 - 21 = 8c + 21 - 21                                </span><span>simplify

- 32 = 8c                                                      divide both sides by 8

c = - 4


That's it






</span>

I hope you got the idea



3 0
3 years ago
Read 2 more answers
Ivan wants to ship a box that is 6 in. Tall, 4 in. Wide, and 5 in. Long to his cousin, and used the calculation below. What was
RUDIKE [14]

Answer:

the correct volume is 120in.3

Step-by-step explanation:

he did his math wrong, 20 x 6 is not 26.

V = 5 x 4 x 6 = 20 x 6 = 120

4 0
3 years ago
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3 years ago
Ashley arranged the following list of numbers below: 5,2,7,8,2,5,3. Find the mean and median.
jok3333 [9.3K]
Mean is the average of all numbers

(5+2+7+8+2+5+3)/7

Mean is 4.57

Median is the middle score so we have to arrange all the numbers from lowest to highest

2, 2, 3, 5, 5, 7, 8

Median is 5
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2 years ago
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