Step-by-step explanation:
Commission earned
= 1/32 * Total sales
= 1/32 * $24,000
= $750.
Your answer is D because 10*2 is 20 and 6*2 is 12 so 12 out of the next 20 customers will purchase a sandwich.
Vertical line is a way to determine whether a functin is a function or not.
You could do the question the way it is written, but it is far easier to bring the negative power up to the numerator.
y= x^2 - 3. The derivative of that is
dy/dx = 2x The three is a constant and is always dropped when a derivative is taken
d(-3)/dx = 0
If you are a purist and want to solve the question the way it is written, you could do it this way.
dy/dx = d(1)/dx x^-2 - d(x^-2)/dx * 1
======================
(x^-2)^2
dy/dx = - (-2 x^ - 3) / x^-4
dy/dx = 2 x^-3 * x^4
dy/dx = 2 x^(-3 + 4)
dy/dx = 2x ^ 1
dy/dx = 2x <<<<< answer
Calories used = Activity level*Weight*Duration
Activity level at 8 min/mile = 0.22 calories per minute
Weight = 180/2.2 = 81.81 kg
Duration = 8 minutes
Substituting;
Calories used = 0.22*81.81*8 = 144 calories
