<h3>
Answers: 48 and 72</h3>
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Explanation:
The number 12 is a multiple of 3 because 3*4 = 12.
So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.
The multiples of 12 are:
- 12, 24, 36, 48, 60, 72, 84, 96, 120, ...
We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.
Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.
844/12 = 70.333 approximately.
This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.
Only 48 and 72 are multiples of 12 (and also multiples of 3).
The conclusion is that both gym charge the same, because the identity 75 = 75 means that the two equations are equivalent (the same).
Answer:
A reflection and a dialation
Step-by-step explanation:
- Reflection is when you flip a figure over a line.
- Rotation is when you rotate a figure a certain degree around a point.
- Dilation is when you enlarge or reduce a figure.
In this case a rotation is not nessasary, so I would suggest a reflection in the y-axis and a dialation to shrink the triangle to A'B'C'
So for the transformations that could have occurred to map ABC to A'B'C' you should choose the answer
a reflection and a dialation
Average rate of change is 0
Interpretation: The crop yield did not change from year 5 to year 15
<em><u>Solution:</u></em>
The function that models the yield is:

The average rate of change of f(x) from x = a to x = b is given by the formula:

Find and interpret the average rate of change from year 5 to year 15


<em><u>Thus average rate of change:</u></em>


Thus Average rate of change is 0
Interpretation: The crop yield did not change from year 5 to year 15.