Julia used 1 foot square stone tiles to make a patio. She laid the tiles in a square, 7 tiles wide by 7 tiles long. What is the
2 answers:
Answer:
Step-by-step explanation:
The formula that is used to calculate the area of a square is this one:
Where "s" is the side lenght of the square
You know that Julia used 1 foot square stone tiles, then each side lenght of the this tiles is:
Since Julia laid 7 tiles wide by 7 tiles long, the side lenght of the new patio is:
Therefore its area is:
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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:
Slope/Gradient =
P = (-8 , 3) (x1, y1)
Q = (-6 , 2) (x2, y2)
Slope = =
=
=
Answer:
The rate of change is
6.2 ×
= 0.37
Answer ^ ^ ^ ^ ^ ^ ^
Explanation: it broke itself