1. Write the form of the partial fraction decomposition of the rational expression. It's not necessary to solve for the constants. 2x + 5 (x + 1)(x - 4) O A. A B x+1 8-4 O B. A B Cx + D + x41 x+4 (8+0x-9) A B CX + D C. x+1 O D. A B C x+1 x-4 (x+1(x-4) 6. Use the coding matrix 1 4 9 and its inverse A-'- to decode the cryptogram -7 -8 A- -2 16 21 O A. ABLE O B. ACTS O C. ARMS O D. ALAS 7. Find the maximum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points. (2. 5) (3.3) . (4.2) Objective Function: z = x + By Find the maximum. O A. Maximum: 34 O B. Maximum: 27 O C. Maximum: 20 O D. Maximum: 4212. The Little Town Arts Center charges $24 for adults, $12 for senior citizens, and $8 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $13,420 for 936 tickets sold. There were 49 more children than adults. How many children attended? O A. 337 children O B. 347 children O C. 291 children O D. 298 children 17. The nutritional content per ounce for three foods is given below. Fat (g/oz) Protein (g/oz) Fiber (g/oz) Food A Food B Food C 16 What combination of these foods can provide exactly 14g of fat, 27g of protein, and 10 g of fiber? O A. 3 oz of Food A: 5 oz, of Food B; 1 oz. of Food C O B. 7 oz. of Food A: 57 oz. of Food B; 1 oz, of Food C O C. 4 oz. of Food A: 6 oz. of Food B: 2 oz. of Food C O D. No possible combination of these foods.18. Write the augmented matrix for the following system of equations: 3x - 2y + 8z = 7 5x + 7y - 2z = 32 3x - 2y + 72=9 8 A -2 7 B. 32 32 N 9 D. -2 32 9 19. A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales? O A. 132 bottles of white and 14 bottles of red O B. 76 bottles of white and 42 bottles of red O C. 14 bottles of white and 132 bottles of red O D. 42 bottles of white and 59 bottles of red