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castortr0y [4]
1 year ago
13

Simplify each expression by writing the expression without absolute value bars.

Mathematics
1 answer:
sertanlavr [38]1 year ago
6 0

The expression of absolute value |m-11| id m is greater than equal 11 will be equivalent to (m-11).

The general function of absolute value is given as,

                  |a| = { a  ,  if  a≥0     and    -a    , if a<0 }

That is the absolute value will be positive if value of is greater than or equal to 0 and the absolute value will be negative if the value of a is less than 0.

As we have been given the absolute value which is | m – 11|. It can be formed as

             |m-11| = {   (m-11)   ,  if m≥11     and      -(m-11)    ,  if m<11}

So according to the question given the value of m is greater than equal to 11 that is m≥11.

Therefore,  when m≥11 then

                           |m-11| =  (m-11).

Hence if m is greater than equal to 11 then the expression |m-11| will be equivalent to (m-11).

Learn more about absolute value here : brainly.com/question/12928519

#SPJ9

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where:
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A student is solving the equation. 2x – 4 – (x + 2) = 6x If the student solves the equation correctly, what is the value of x ?
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Answer:

x =  -\frac{6}{5}

Step-by-step explanation:

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taking like terms on each side of the equality, we get

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(co<br> Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.
tatyana61 [14]

Answer:

<em>y=2 cos (π/4x-π/4)</em>

Step-by-step explanation:

<em>Given</em>

<em>A cosine function has an amplitude of 2, a midline of 5 and a period of 8.</em>

<em>To find: </em>

<em>A cosine function.</em>

<em>Explanation:</em>

<em>Let the function be,</em>

<em></em>y=Acos(ws+p)

<em>Since amplitude is 2.</em>

<em>Then,</em>

<em></em>A=2

<em>Also, since the period is 8.</em>

<em>Then,</em>

<em></em>w=\frac{2\pi }{8}

w=\frac{\pi }{4}

<em>And, since midline is 5.</em>

<em>Hence, the cosine function is,</em>

<em>y=2 cos (</em>\frac{\pi }{4}<em>x-</em>\frac{\pi }{4}

<em></em>

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2 years ago
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