The question is to find an expression for the expenses
<u>Answer:</u>
E (x) =n + 5
<u>Explanation:</u>
The profit is defined as the difference between the revenue and the expenses.
<u>This means that:</u>
profit = revenue - expenses
<u>Now, we rearrange the equation to solve for expenses:</u>
expenses = revenue - profit
<u>From the given, we know that:</u>
expression for revenue is 18n
expression for profit is 17n - 5
<u>Substitute in the equation to get expression for expenses as follows:</u>
E (x) = 18n - (17n - 5)
E (x) = 18n - 17n + 5
E (x) = n + 5
Hope this helps :)
Answer:
Step-by-step explanation:
The given rational equation is
The Least Common Denominator is 
.
Multiply each term in the equation by the LCD.
Simplify;
Expand and group similar terms
Answer:
8
Step-by-step explanation:
Answer:
Hey there!
The line can be expressed into y intercept form, y=3x+1.
Thus, in y=mx+b form, m is the slope, and we see that 3 is the slope of the line.
Let me know if this helps :)
Remark
First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.
Givens
f(x) = 4x^2 + x + 1
g(x) = x^2 - 2
Discussion
What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 - 2
Wherever you see an x on either the left or right side of the equation, you put fix)
Then wherever you see f(x) on the right you put in what f(x) is equal to.
Solution
g(x) = x^2 - 2
g(f(x)) = (f(x))^2 - 2
g(f(x)) = [4x^2 + x + 1]^2 - 2
f(x)^2 =
4x^2 + x + 1
<u>4x^2 + x + 1</u>
16x^4 + 4x^3 + 4x^2
4x^3 + x^2 + x
<u> 4x^2 + x + 1</u>
16x^4 + 8x^3 + 9x^2 + 2x + 1
Answer
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2
g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1
