Determine whether each set is finite or infinite. the set of fractions between 1 and 2.
1 answer:
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Answer:
Step-by-step explanation:
No. of T-Shirts sold in first week = 15
No. of T-Shirts sold in second week = 22
No. of T-Shirts sold in third week = 29
The number of shirts sold each week represents an arithmetic sequence.
15,22,29,....
So, a = first term = 15
d = common difference = 22-15= 29-22= 7
Formula of nth term :
a is the first term
d is the common difference
n is the number of term
Now substitute the values in the formula :
Where n is the number of weeks
Hence the explicit rule for the arithmetic sequence that defines the number of shirts sold in week n is
Answer:
Fourth option
Step-by-step explanation:
When graphing the given inequalities you will get a region like the one shown in the attached image. This region is delimited by 4 straight
The points indicated at the ends of the region are the maximum possible values of x and y.
We must test these points in the objective function and see which point maximizes the value of P.
<em><u>Remember that the boundaries of the region are not included. </u></em>
We can prove the point <em>x = 0</em> and <em>y = 39</em> because (0,4) is not included in the region.
Now we test the point <em>x = 33</em> and <em>y = 16 </em>
Now we test the point <em>x = 44</em> and <em>y = 0</em>
Finally the optimal value is:
<em>x = 33 oz</em>
<em>y = 16 oz </em>
With a gain of $106
