Express the function as the sum of a power series by first using partial fractions.

f(x)=∑n=0 ∞ (?)

(2) Find the interval

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Olga bought a new skirt that cost $20. sales tax is 5%. how much did olga pay, including sales tax? 7.