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MAVERICK [17]
3 years ago
14

Solve the inequality. Enter any fractions as reduced improper fractions. 4x ≤ -2/5(6x + 6) The solution is _____​

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

x≤ -3/8

Step-by-step explanation:

4x\le \:-\frac{2}{5}\left(6x+6\right)\\

Expand ;

\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}

4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x

Simplify

\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}

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The graph on question 27 indicates that there are three points with the locations such as:

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In other words, there are three points that lie on the graph with the x-values such as:

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We know that the domain includes the set of x-values.

Hence, the domain of the function is:

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Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

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The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

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3 years ago
I don’t understand this and I did take notes on this on the computer but I still don’t understand it.
Serggg [28]

Answer:

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Step-by-step explanation:

The line of reflection is at <em>y = −</em><em>2</em>,<em> </em>so looking at the line and where the coordinates of the shape are, you will have this:

<em>I</em>[−3, −2] → <em>I</em>'[−3, −2] (on the line, so it remains the same)

<em>Q</em>[2, −4] → <em>Q</em>'[2, 0]

<em>?</em>[0, −5] →<em> </em><em>?</em>'[0, 1]

<em>E</em>[−3, −3] → <em>E</em>'[−3, −1]

I am joyous to assist you anytime.

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Answer:

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Step-by-step explanation:

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