Answer: a) c(x) = 0.124x + 1.1, b) 13 units
Step-by-step explanation: Revenue function = R(x) = 0.21x
Profit function = p(x) = 0.086 - 1.1
Cost function = c(x) =?
A)
Recall that profit = total revenue - total cost
Hence, total cost = total revenue - profit
c(x) = 0.21x - (0.086x - 1.1)
c(x) = 0.21x - 0.086x + 1.1
c(x) = 0.124x + 1.1
B)
Break even point is the point where total revenue equals total cost
R(x) = c(x)
0.21x = 0.124x + 1.1
0.21x - 0.124x = 1.1
0.086x = 1.1
x = 1.1/0.086
x = 12.79 which is approximately 13 units
Answer:
the same way Pythagoras Theorem
and sorry for the hand writing
That’s easy. To turn 5/2 into 10/4 you multiply by 2. :D Hope this helps!
4/5
The 4 is how many pounds of nuts there are and dividing by 5 shows that you are sharing the nuts equally amongst the 5 friends.
Answer:

Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:


Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

and we simplify:


now it's easy to solve for t:

And thus we arrive to the solution.