Write a rule for the sequence 2,4,8,16
1 answer:
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Step-by-step explanation:
To solve this problem, we should first have common denominators.
We should find the LCM (Least Common Multiple) of the 2 denominators.
The LCM of 7 and 9 is 63.
Each fraction is out of 63, but whatever number you multiply to get 63, you use that same number for the numerator.
5 x 9 = 45, 3 x 7 = 21.
We have our problem, 45 / 63 - 21 / 63.
Subtract the 2 numerators.
45 - 21 = 24.
Our answer is 24 / 63.
We need to simplify this problem.
Both numbers are divisible by 3.
Divide both Terms, or numbers by 3.
24 / 3 = 8.
63 / 3 = 21.
<u>8 / 21 is our answer simplified.</u>
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Therefore, your difference is 8 / 21.
Best of Luck to you.
If you have any questions, feel free to comment below.
Answer:
The required function is:
The price for each feeder to maximize profit should be $13.
The maximum weekly profit is $147
Step-by-step explanation:
Consider the provided information.
Part (A)
The materials for each feeder cost $6, and the society sells an average of 30 per week at a price of $10 each.
Let x be the price per feeder.
Profit = Revenue - cost
So the profit per feeder is
If we increase then for every dollar increase, it loses 3 sales per week.
This can be written as:
Where x-10 represents the increase in price and 3 represents the decrease in sales per week.
Thus the profit will be:
Hence, the required function is:
Part (B) What price should the society charge for each feeder to maximize profits? What is the maximum weekly profit?
The above function is a downward parabola so the maximum will occur at vertex.
The x coordinate of the vertex of parabola is:
Substitute a=-3, b=78 and c=-360 in above.
Hence, the price for each feeder to maximize profit should be $13.
Now substitute the value of x in
Hence, the maximum weekly profit is $147