Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.
a. one and only one solution (1,1)
You might also like to view...
Find the turnover rate at cost and at retail. Round to the nearest hundredth.A furniture store has an average inventory at retail of 
, and an average inventory at cost of 
. The cost of goods sold for this period is $19,862.10 and net sales of furniture were 
.
A. Turnover rate at cost: 3.92, Turnover rate at retail: 6.88 B. Turnover rate at cost: 5.17, Turnover rate at retail: 5.22 C. Turnover rate at cost: 5.22, Turnover rate at retail: 5.17 D. Turnover rate at cost: 1.33, Turnover rate at retail: 1.32
Solve the problem.The charges for renting a moving van are $65 for the first 40 miles and $5 for each additional mile. Assume that a fraction of a mile is rounded up. (i) Determine the cost of driving the van 84 miles. (ii) Find a symbolic representation for a function f that computes the cost of driving the van x miles, where 
(Hint: express f as a piecewise-constant function.)
A. $285; f(x) = 
B. $5680; f(x) = 
C. $685; f(x) = 
D. $685; f(x) = 
Solve the problem.Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) = x2 + 4x + 1800. The average cost per unit at a production level of x ovens per day is 
(x) = C(x)/x. (i) Find the rational function 
. (ii) Sketch a graph of 
(x) for 10 ? x ? 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum
average cost per oven (to the nearest cent)? HINT: Refer to the sketch in part (ii) and evaluate 
(x) at appropriate integer values until a minimum value is found. 
A. (i) 
(x) = 
(ii) 
(iii) 44 units; $185.61 per oven
B. (i) 
(x) = 
(ii) 
(iii) 61 units; $133.29 per oven
C. (i) 
(x) = 
(ii) 
(iii) 22 units; $48.93 per oven
D. (i) 
(x) = 
(ii) 
(iii) 42 units; $88.86 per oven
Solve the inequality and graph the solution.x2 - 7x ? -12
A. (-4, -3)
| -4? | -3 |
B. [-4, -3]
| -4? | -3 |
C. (-?, -4] or [-3, ?)
| -4? | -3 |
D. [3, 4]
| 3? | 4 |