Formulate a phase-1 linear program with a single artificial variable (i. e., shift). Define the phase-1 problem in such a way that you know an initial vertex for the phase-1 constraints for which x1

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

The parabola y = x² - 4 opens: a.) up b.) down c.) right d.) left

Two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers