College Algebra

Solve the problem using two variables and a system of two equations. Solve the system by the method of your choice. Note that the problem could be a dependent or inconsistent system A civil engineer has a choice of two plans for renting furniture for her new office. Under plan A she pays $1200 plus $175 per month, while under plan B she pays $225 plus $250 per month. For each plan, write the cost as a function of the number of months. Which plan is cheaper in the long run? For what number of months do the two plans cost the same? CID Let x be the number of months and y be the total cost of renting the furniture. Find the equation for the cost for plan A. Fill in the blanks so that the two sets are equal. Z {(x, x + 7, x-6)| x is any real number) = {(?, y, ?)| y is any real number) Fill in the blanks so that the two sets are equal. W ((x,6x + 1,5x - 1)|x is any real number) = {(y._)ly is any real number) Solve -5 11 8 4_ 10 xy= 3 What is the solution set? 5 Find A and B for the partial fraction decomposition. 36 A B x2 -9 x-3x Find the partial fraction decomposition. 2x3 +4x2 - 22x - 56 x - 16 Find the partial fraction decomposition for the following rational expression. 7x +4x - 28x + 16 x" - 16 Write an augmented matrix for the following system of equations. - 3x + y = 9 8x - 4y = 5 9 Write an augmented matrix for the following system of equations. 6x - 6y + 2 = -5 6x - 4y + 3z = 8 3y - 52 = - 8 10 Write the augmented matrix for the system of equations. x + 3y - z =1 X Z =