20 points

1. enter the equation in standard form. y – 7 = -(x + 4)

2. use the information given to enter an equation in standard form.
the points (8, 9) and (7, 6) are on the line.

3. identify whether each equation is in point slope form, standard form, or slope intercept form.
9x + 2y = 4
y – 8 = 2(x – 4)
y = 5x + 2
2x – 7y = -3

4. enter an equation in standard from to model the linear situation.
a bathtub that holds 44 gallons of water contains 19 gallons of water. you begin filing it, and after 5 minutes, the tub is full.

5. use the information given to enter an equation in standard form.
slope is 6, and the point (3, 8) is on the line.

12 is 33 1/3% of 36 what is the whole

Aline parallel to a triangle's side splits ab into lengths of x - 5 and x + 2. the other side, ac, is split into lengths of x and x + 12. what is the length of ac? a) 12 b) 24 c) 36 d)

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.)