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andrew11 [14]
3 years ago
12

Simplify to create an equivalent expression.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

9y + 24

Step-by-step explanation:

2(3y + 6) - 3(-4 - y)

= 6y + 12 - 3(-4 - y)

= 6y + 12 + 12 + 3y

= 9y + 12 + 12

= 9y + 24

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Consider the given density curve.
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We want to find the median for the given density curve.

The value of the median is 1.

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value. The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from -1 to 3.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:

(a + b)/2

So we get:

m = (3 + (-1))/2 = 1

So we can conclude that the value of the median is 1, so the correct option is the second one, counting from the top.

If you want to learn more, you can read:

brainly.com/question/15857649

5 0
3 years ago
AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct
Alex Ar [27]

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

6 0
3 years ago
1. In a supermarket, each orange costs $3, and each apple costs $2. If you want to spend
Dmitry_Shevchenko [17]
2o + 3a = $45

Not sure if this is what your looking for.
7 0
3 years ago
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Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
sasho [114]

Answer:

y=12x-16

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

4 0
3 years ago
What is the complete factorization of 3x2 + 22x − 16?
EleoNora [17]

Answer:

controller

Step-by-step explanation:

6 0
3 years ago
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