The first step for simplifying the above fraction is to divide the terms with the same base by subtracting their exponents.
Remember that when there is a
"-" sign in front of the parenthesis,, we need to change the sign of each term in the parenthesis. This changes the fraction to the following:
Calculate the sum of the exponents.
Lastly,, reduce the fraction with 3 to find your final answer.
Let me know if you have any further questions.
:)
You can do anything you want to one side of an equation.
You'll usually apply an inverse operation to make the side
simpler, for example to get rid of the 'x', or to get rid of the
fractions on that side.
But when you do something to one side of the equation,
you MUST do exactly the same thing to the other side too.
If you don't, then you have changed the equation to a
different one, and the solution to the one you have now
is not the solution to the original one.
Very simple example:
Solve the equation 2x = 2
Correct solution:
Divide each side by 2 : x = 1
Incorrect solution:
Divide the left side by 2 : x = 2
Answer:
So the expression would be P = 2L + 2w
Tho that's about all I know, you could try plugging in 5.5 for L and w so then it would be <em>P = 2(5.5) + 2(5.5^2)</em> But I'm not too sure, sorry about that.
Step-by-step explanation:
Answer:
The minimum average cost is $643.75
It should be built 62.5 machines to achieve the minimum average cost
Step-by-step explanation:
The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800
To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost
∵ C = 0.04x² - 5x + 800
- Differentiate C with respect to x
∴
∴
- Equate by 0
∴ 0.08x - 5 = 0
- Add 5 to both sides
∴ 0.08x = 5
- Divide both sides by 0.08
∴ x = 62.5
That means the minimum average cost is at x = 62.5
Substitute the value of x in C to find the minimum average cost
∵ C = 0.04(62.5)² - 5(62.5) + 800
∴ C = 643.75
∵ C is the average cost
∴ The minimum average cost is $643.75
∵ x is the number of the machines
∴ It should be built 62.5 machines to achieve the minimum
average cost