1<em>.) </em><em>Reduction</em>
<em>As you can see Triangle A was reduced in size as a result of Triangle B</em>
<em>2.) </em><em>Enlargement</em>
<em>Square A is much smaller than square B, making this an enlargement</em>
<em>3.) </em><em>Enlargement</em>
<em>The quadrilateral shown here gets larger with quadrilateral B</em>
<em>4.) </em><em>Reduction</em>
<em>This object gets vividly smaller as shown on the graph, making it a reduction </em>
6 feet
20/15= 1.3 8/1.3=6.1 round to the nearest tenth and BOOM 6 feet
Answer: Choice A (yes it is a function; one range value exists for each domain value)
Put another way, each x corresponds to exactly one output only. We do not have any repeat x values. Any input you specify, there is only one output. If for example we had the two points (3,5) and (3,7) then the input x = 3 leads to multiple outputs y = 5 and y = 7 at the same time. This example is a non-function because of this. In this case, we don't have such repeated x values so that is why we have a function.
Try graphing out the four points given. You'll notice you cannot draw a vertical line through more than one point. Therefore, this graph passes the vertical line test. The vertical line test is to see if it's possible to draw a vertical line through more than one point on the graph. If so, then the relation fails to be a function.
In Step 6, the equation is ...
-12 = x - 36
In step 7, the equation is ...
-12 +36 = x -36 +36
Clearly, to get to step 7, 36 has been added to both sides of the equation.
Adding 36 to both sides of the equation is justified by ...
... C) Addition Property of Equality
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<em>More about the addition property of equality</em>
The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.
This is basically the form of a compounded interest. Honestly the best answer i can give is: plug it into your calculator.
I'll give you a few "do it by hand" tips. Simplify 0.08/2 into 0.04. Now you do 1.04 to the 12th power in your calculator. Multiply that buy 10,000 is your answer. 16010.32 is your answer. This means that
You put $10,000 into some sort of savings account that gave 0.04 interest rate. You leave it there to be compounded each year for 12 years. And now you have 16010 dollars instead of 10k. Not bad at all if you're patient. :)
