Algebra Answers

(1+x+x^2+......)(1+x^2+x^4+.......)(1+x^3+x^6......) in this case what is the coefficient of x^6 ?

4x(x-2y)-(x-3y)^2

In an examination atleast 60% marks are required for getting first division .
Ayush secured 447 marks and misses first division by 3 marks.
Find total no of marks

XYZ company purchased a new machine at £50,000 and is using the profits to pay it off. Profits in march were £7876.
If profits increase by 2% from previous month in what month will the machine be completely paid off?

I know there is a simple calculation method in order to calculate exponential growth however don’t know how to apply to this question .

Jason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverware and sells for $3.00.
If the machine cos $9,000 and runs for 24 hours a day, how many days will it take to make enough silverware to pay for itself?

how to write a product using exponets

in a survey of 50 members, 20 were taking math and 33 was taking english and 8 taking both. How many was taking neither of the subjects?

(2b^5/b^2c^3) ^-4

Given the function f(x)=9x+7, find its inverse.

hi could anyone help me with this problem.
lim square root(x^2+16)-4/x
x-0
Any help would be greatly appreciated.