To solve the system of linear equations 3x-2y- 4 and Ex-By-12 by using the linear combination method, Henry decided that
he should first multiply the first equation by-3 and then add the two equations together to eliminate the x-terms. When he did
so he also eliminated the y-terms and got the equation 0=0, so he thought that the system of equations must have an infinite
number of solutions. To check his answer, he graphed the equations 3x-23-4 and Ex-By-12 with his graphing calculator,
but he could only see one line. Why is this?
O because the system ofequations actually has only one solution
O because the system of equations actually has no solution
O because the graphs of the two equations overlap each other
h ause the graph of one of the equations does not exist

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

Type the correct answer in each box, round your answers to the nearest integer 20 25 30 in the figure, the perimeter of hexagon abcdef is approximately w units, and its area is square units

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)