Answer:
Step-by-step explanation:
Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.
a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.
b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.
c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.
In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,
pf'(x*)-w =0. From where we know that f'(x*)=w/p.
Answer:
$64 is the answer
Step-by-step explanation:
If I am correct the x and y values are the ones values of the overall $60 so if you on the x axis to where the 6 is it matches up with the 4 on the y axis so therefore the answer must be $64.
I hope this helps
Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage i
Assoli18 [71]
Answer:
3,628,800 (aka "10!")
Step-by-step explanation:
The first letter in the code can be 10 possible letters.
Since every letter can only be used once, the second letter can only be 9 possible letters.
E.G.: If the first letter is A, the second letter is B-J.
The third letter would be 8 possible letters, than the fourth would be 7, etc.
In math form, figuring out the possible combinations would be written out as so:
10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
An easier way to write this out would be using "10!", which stands for "10 Factorial"
The result of the above equals 3,628,800.
Answer:
Step-by-step explanation:
Adding 10 to both sides.
Adding 
to both sides.
Dividing both sides by 10.
∴
Answer:
Its B
Step-by-step explanation:
