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gladu [14]
3 years ago
8

What are the solutions to the equation

ormula1" title="2 |x - 2| - 8 = 20" alt="2 |x - 2| - 8 = 20" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
leva [86]3 years ago
4 0

The solutions of the equation are -12 and 16

Step-by-step explanation:

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative, if IxI = a, where a > 0, then

  • x = a
  • x = -a

∵ 2Ix - 2I - 8 = 20

- At first add 8 to both sides

∴ 2Ix - 2I = 28

- Then divide both sides by 2

∴ Ix - 2I = 14

Now By using the notes above equate x - 2 by 14 and -14

∵ x - 2 = 14

- Add 2 to both sides

∴ x = 16

∵ x - 2 = -14

- Add 2 to both sides

∴ x = -12

The solutions of the equation are -12 and 16

Learn more:

You can learn more about solving equations in brainly.com/question/2386054

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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3 years ago
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

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3 years ago
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velikii [3]
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Answer:

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Step-by-step explanation:

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2 years ago
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dem82 [27]

Answer:

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Step-by-step explanation:

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Donde a = Apotema = 9,93 cm

P = Perímetro =

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