The average rate of change obtained from the ratio of change in y to the change in x is 27
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
at; x1 = -3
y1 can be calculated from the function ;
y1= 3(-3³)-1
y1=-82
At ; x2 = 3
y2 can be calculated from the function ;
y2 = 3(3³)-1
y2=80
The rate of change can be calculated thus : (y2 - y1) ÷ (x2 - x1)
[80-(-82)]/[3-(-6])
162/6
27
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Answer:
The first one
Step-by-step explanation:
To figure out which one is the best deal, for each one how much <em>one</em> t-shirt costs.
<u>First deal:</u>
3 t-shirts for $28.95
To figure out how much money one t-shirt would cost, you divide $28.95 by 3.
1 t-shirt = 28.95/3 = $9.65.
<u>Second deal:</u>
4 t-shirts for $39
Same thing as the last one, except since there are 4 t-shirts you divide $39 by 4.
1 t-shirt = 39/4 = $9.75
<u>Third deal:</u>
5 t-shirts for $49.95
This time you will divide 49.95 by 5.
1 t-shirt = 49.95/5 = $9.99
The last step is to compare the three deals, and since you are trying to find the one that costs the <em>least</em> you can see that the first deal is the best one, because $9.65 per shirt is cheaper than $9.75 and $9.99
Answer:
where 
denote arc lengths of two circles
Step-by-step explanation:
Let denote arc lengths of two circles, 
denote corresponding radii and
denote the corresponding central angles.
So,
and 
This implies 
and 
As each circle has an arc where the measures of the corresponding central angles are the same, 
As radius of one circle is twice the radius of the other circle,
An equivalent expression would be 2x+4
