PLEASE SOLVE THEM ASAP!!

The final grade for an algebra course is determined by grades on the midterm and final exam. The grades for four students and two possible grading systems are modeled by the following matrices. Find the final course score for Student 3 for both grading System 1 and System 2. Midterm Final Student 1 Student 2 Student 3 Student 4 System1 Midterm Final l 0.2 0.8 73 44 84 98 System2 0.5 0.5 l 79 62 86 96 . System 1: 59.8; System 2: 110.2 . System 1: 85.6; System 2: 85 . System 1: 39.8; System 2: 53 . System 1: 77.8; System 2: 76 Solve the system using the inverse matrix method. X + 2y + 3z =7 1 2 3 1 -1 -1 Xty+z= -5 The inverse of 1 1 1 is -3 5 2 -Xty+2z = - 9 -1 12 2 -3 -1 O A. x = 4, y= - 5, Z= - 8; (4, - 5, - 8) O B. x= -7, y= - 22, z= - 10; (-7, -22, - 10) O C. x = 21, y= - 64, z= 38; (21, - 64,38) O D. x=7, y= - 20, z = 18; (7, - 20, 18)Use matrices to find the function f(x) = ax + bx2 + cx + d for which f(0) = - 2, f(1) = 5, f( - 1) = 3, f(2) = 4. 10 13 O A. f(X ) = - + 3 X' + 6x2 2X-2 8 5 O B. f(X) = 3 + 4x2+ 3 -X - 2 O c. f(x) = 10x3 - 18x2 - 13x + 6 O D. f(x)= - 8x3 + 12x2 +5x -6The table below shows the number of birds for three selected years after an endangered species protection program was started. x(Numberofyearsafter1980) 1 5 1O y(Numberofbirds) 46 210 640 Use the quadratic function y = ax2 + bx + c to model the data. Solve the system of linear equations involving a, b, and c using matrices. Find the equation that models the data. OA. y=6x2+22x+25 OB. y=7x2-11x+33 Oc. y=1Ox2-33x+26 OD. y=5x2+11x+3o There were 100 vehicles sold at a particular dealership last month. The dealer tracks sales by age group for marketing purposes The number of 36-10 59-year-old buyers and the number of buyers 60 and older combined exceeds the number of buyers 35 and younger by 36. If the number of buyers in the oldest group is doubled, it is 17 less than the number of buyers in the middle group. Find the number of buyers in each of the three age groups. 0 A. 17 buyers aged 35 and younger, 51 buyers aged 36-59, 32 buyers aged 60 and older O B. 34 buyers aged 35 and younger, 48 buyers aged 3659, 18 buyers aged 60 and older O C. 32 buyers aged 35 and younger, 51 buyers aged 36-59, 17 buyers aged 60 and older 0 D. 26 buyers aged 35 and younger, 53 buyers aged 36-59, 21 buyers aged 60 and older