Haruka owns an umbrella factory. the revenue, r, she makes from selling n umbrellas is given by the function r(n)=18n, and the profit p, that she makes from selling n umbrellas is given by the fiction p(n)=17n-5

The question is to find an expression for the expenses

E (x) =n + 5

Explanation:

The profit is defined as the difference between the revenue and the expenses.

This means that:

profit = revenue - expenses

Now, we rearrange the equation to solve for expenses:

expenses = revenue - profit

From the given, we know that:

expression for revenue is 18n

expression for profit is 17n - 5

Substitute in the equation to get expression for expenses as follows:

E (x) = 18n - (17n - 5)

E (x) = 18n - 17n + 5

E (x) = n + 5

Hope this helps :)

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

just took the test and my answers down below!

step-by-step explanation:

check the pic :