A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle?
1 answer:
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The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
<h3>Solving inequality</h3>From the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an <u>open circle</u> at 5 and a bold line that starts at 5 and is <u>pointing to the right</u>. The correct options are the third and fourth options
Learn more on Inequalities here: brainly.com/question/246993
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<h2>Answer:</h2>
A rate of change tells us how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:
For linear functions. the rate of change is the slope of the line. Thus:
FOR THE TABLE:
By taking two points we can get the rate of change, so let's take :
FOR THE GRAPH:
Let's take :
As you can see, so <em>the ROC of the function given by the graph is greater than the ROC of the function given by the table.</em>