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seraphim [82]
3 years ago
10

21 is less than or equal to -3(x-4) is less than 18

Mathematics
1 answer:
Maslowich3 years ago
8 0

Answer:

-3 ≤ x <-2

Step-by-step explanation:

First, you should set up the equation to solve it, which is,

21 ≤ -3(x-4)<18

Then you should simplify the equation to,

21 ≤ -3x+12<18

Then subtract 12 from both sides.

9 ≤ -3x<6

Lastly, divide -3 from both sides.

-3 ≤ x<-2

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If point U is reflected across the x = -3, what are the coordinates of its reflection image?
Elena L [17]

The coordinates of U after the reflection are: (-5, -3)

<h3>How to get the coordinates after the reflection?</h3>

By looking at the graph, we can see that the coordinates of point U are:

U = (-1, -3)

And we want to reflect it across the line x = -3.

Notice that because this is a vertical line, the y-component does not change by the reflection. Only changes the x-component, such that the distance between the original coordinates and the final coordinates to the line don't change.

The original x-component is x = -1, the distance to the line is:

d = |-3 - (-1)| = 2 units.

Then the new x-component will also be at 2 units of the line, but in the other direction:

new x-component: x = -3 - 2 = -5

The coordinates of U after the reflection are:

(-5, -3)

If you want to learn more about reflections:

brainly.com/question/4289712

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5 0
2 years ago
You roll a number cube. Find the probability and write your answer in the simplest form. P(4)= ---------------------------------
alina1380 [7]

Answer:

P(4) = \frac{1}{6}

P(\text{not a 2}) = \frac{5}{6}

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

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A number cube is a dice, which has six sides, numbered 1 to 6.

P(4)

One the sides is a 4, thus:

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P(not a 2)

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P(3 or 5)

One sides is 3, other is 5, 1 + 1 = 2. So

P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}

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3 years ago
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.
erastovalidia [21]

Answer:

the same number of teachers as students were surveyed...im not exactly sure

Step-by-step explanation:

4 0
3 years ago
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