<u>Answer:</u>
E(n) = n + 5
<u>Explanation:</u>
The profit is the difference between the amount of money received as a revenue and the amount of money spent as expenses.
<u>This means that:</u>
Profit = Revenue - Expenses
<u>Rearrange the formula to solve for the expenses, we get:</u>
Expenses = Revenue - Profit
<u>We are given that: </u>
Revenue = R(n) = 18n
Profit = P(n) = 17n - 5
<u>Substitute in the above formula to get the formula for expenses as follows:</u>
E(n) = R(n) - P(n)
E(n) = 18n - (17n-5)
E(n) = 18n - 17n + 5
E(n) = n + 5
Hope this helps :)
Answer:
1. the shape on the left had been enlarged with a scale factor 10 to give the shape on the right - all the lenghts are 10 times longer e.g AZ is 8, corresponding WZ is 80
2. corrseponding angles are equal
<span>The square root of 121 is 11. The square toot of a^6 is a^3. Therefore 121a^6 can be expressed as (11a^3)^2, and 11a^3 is a monomial since it is a single term with nothing added or subtracted to it or from it. So 121a^6 as a squared monomial is (11a^3)^2.</span>
x^2 - 4
------------------------------
x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
------------------
0 - 4x - 28
-4x - 28
-------------
0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
Let us write down the equation clearly and in a proper manner. This will help in solving the equation very easily.
8^(x + 3) = 16^(x - 1)
(2^3)^(x + 3) = (2^4)^(x - 1)
(2)^3(x + 3) = (2)^4(x - 1)
Then
3(x + 3) = 4(x - 1)
3x + 9 = 4x - 4
4x - 3x = 9 + 4
x = 13
I hope the procedure is clear enough for you to understand. I also hope that this is the answer that has actually come to your desired help.
