In a particular county the average homeowner owns 0.27 acres of land while in a neighborhood county the average homeowner owns 0
.54 acres of land. Does the graph depict the data fairly? A. No, the area of the box depicting the county average should be proportional to the area of the box depicting the neighboring county average. B. No, the length of the box depicting the county average should be proportional to the length of the box depicting the neighboring county average. C. Yes, the area of the box depicting the county average is proportional to the area of the box depicting the neighboring county average. D. Yes, the area of the box depicting the county average is smaller than the area of the box depicting the neighboring county average.
1 answer:
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Answer:
a) Y(x) = {900, x≤30; 900-40(x-30), x>30}
b) T(x) = {900x, x≤30; 2100x-40x², x>30}
c) dT/dx = {900, x≤30; 2100-80x, x>30}
Step-by-step explanation:
a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.
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b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)
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c) The derivative is ...
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The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.
Answer:
Step-by-step explanation:
We need to find which statements are true.
Solution to find the same we will solve each statement and will conclude the same.
1.
Now On solving we get;
So we can see that 0.70 > 0.66
Hence The given statement is False.
2.
Now On solving we get;
So we can see that 0.5625 > 0.5
Hence The given statement is True.
3.
Now On solving we get;
So we can see that 1.33 > 1.2
Hence The given statement is False.
4.
Now On solving we get;
So we can see that 0.82 > 0.66
Hence The given statement is False.
Answer:
Step-by-step explanation: