Reference no: EM131019759

1. Find the slope of the line 3x - y = 5.

2. Find the point of intersection of the lines 2x + y = 4 and 3x - y = 1. Graph the pair of lines.

3. A manufacturer produces items at a daily cost of $1.50 per item and sells them for $2.50 per item. The daily operational overhead is $500. What is the break-even point?

4. Suppose the sales of a company are given by

S(x) = $300x + $3,000 where x is measured in years and x = 0 corresponds to the year 2003.

Find the predicted sales in the year 2006 assuming the trend continues.

5. Write the augmented matrix of the system: x - 2y + z = 3

2x - y = 4
3y + z = 6

6. y = z x + y = 5.

Determine whether this system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.