Use partial fraction expansion to evaluate: latex: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. latex: -2\ln\left|x+1\right|+3\ln\left|x+2 \right|+c − 2 ln ⁡ | x + 1 | + 3 ln ⁡ | x + 2 | + c b. latex: \frac{-2}{x+1}+\frac{3}{x+2}+c − 2 x + 1 + 3 x + 2 + c c. latex: \frac{2}{\left(x+1\right)^2}+\frac{ -3}{\left(x+2\right)^2}+c 2 ( x + 1 ) 2 + − 3 ( x + 2 ) 2 + c d. latex: \frac{1}{\left(x+3+\frac{2}{x}\righ t)^2}+c 1 ( x + 3 + 2 x ) 2 + c

Michelle had a birthday party. she bought a bag of candy with 96 starbursts, 72 hershey's, and 68 reese's. she wants to use all the candy she bought to make goody bags with the same amount of starbursts, hershey's and reese's in each bag. what is the largest number of bags she can make?

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.