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.

__
b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)

__
c) The derivative is ...

_____
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.
Yes it is linear since it's in the standard form Ax+By = C
A = 2
B = -8
C = 16
Answer:
The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon.
Step-by-step explanation:
Given as :
The Distance of marathon = 26.2 unit
The time taken to complete marathon = 2 hours and 15 minutes
= 120 + 15 = 135 minutes
Let The constant speed of Usain Bolt = S unit per minutes
So, Speed =
Or, S =
∴ S = 0.194 unit per minutes
Hence The speed of Usain Bolt is 0.194 miles per minutes to complete the marathon. Answer
The answer to this question is A, 12. Hope this helps.
If Malik owes his mother $10 and pay her back $5 then he still owes her $5 an easier way to find this out is by simply subtracting $10.00-$5.00 :)