13. Majesta is building a rectangular sandbox for her younger sister. The length of the sandbox is 2 feet shorter than
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Answer:
Cost of one roll of plain wrapping paper is $12 and Cost of one roll of holiday paper is $17.
Step-by-step explanation:
Solution,
Let the cost of 1 plain wrapping paper be x.
And the cost of 1 holiday paper be y.
Julie sold 13 rolls of plain wrapping paper and 8 rolls of holiday paper and earns $292.
Total Money earned by Julie is equal to sum of number of wrapping paper multiplied with cost of wrapping paper and number of holiday paper multiplied with cost of holiday paper.
So we can frame it in equation form as;
Now, Mark sold 7 rolls of plain wrapping paper and 2 rolls of holiday paper and earns $118.
Total Money earned by Mark is equal to sum of number of wrapping paper multiplied with cost of wrapping paper and number of holiday paper multiplied with cost of holiday paper.
So we can frame it in equation form as;
Now Multiplying equation 2 by 4 we get;
Now Subtracting equation 1 from equation 3.
Now substituting the value of x in equation 1 we get;
Hence Cost of one roll of plain wrapping paper is $12 and Cost of one roll of holiday paper is $17.
We are given the following function:
We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:
And, to shift a function "m" units to the left we use the following rule:
Applying both rules simultaneously we get:
2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:
The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:
3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:
Applying the rule we get:
And thus we get to the final function.