Determine the matrix is in form. [1 0 7 0 0 1 0 -1 0 0 1 0 0 0 0 1|5 -4 6 -8] Solve the system using Gaussian elimination or Gauss-Jordan elimination. 5x - 6y - 7z = 15 4x + 5y + 3z = 44 -8x - 2y - 4z = -92 A) {(-2, 9, 6)} B) (-9, 2, 6) C) ((2, -9, -6)} D) {9, -2, 6)} Determine the solution set for the system represented by the augmented matrix. [1 0 -2 0 1 4 0 0 0|4 1 1] A) {(-2, 4, 0)} B) {} C) {(4, 1, 0)} D) {(6, -3, 1)} The nth term of a sequence is given. Find the indicated term. A_n= 2^n + 3; a_4 A) 24 B) 48 C) 19 D) 11 a_n = 2^n/(n + 1)!;a_6 A)64/7 B) 4/315 C) 16/3 D) 1/420 Find the indicated term of the arithmetic sequence based on the given information. A_1 = 76 and a_9 = 44; Find a_40. A)-72 B)-76 C) -84 D)-80 A lecture ball has 14 rows of seats. The first row has 10 seats, and each row after that has 2 more seats than the previous row. How many seats are in the last row? How many seats are in the lecture hall? A) last row: 38; total seats: 168 B) last row: 38; total seats: 336 C) last row: 36, total seats: 168 D) last row: 36; total seats: 322
Show transcribed image text Determine the matrix is in form. [1 0 7 0 0 1 0 -1 0 0 1 0 0 0 0 1|5 -4 6 -8] Solve the system using Gaussian elimination or Gauss-Jordan elimination. 5x - 6y - 7z = 15 4x + 5y + 3z = 44 -8x - 2y - 4z = -92 A) {(-2, 9, 6)} B) (-9, 2, 6) C) ((2, -9, -6)} D) {9, -2, 6)} Determine the solution set for the system represented by the augmented matrix. [1 0 -2 0 1 4 0 0 0|4 1 1] A) {(-2, 4, 0)} B) {} C) {(4, 1, 0)} D) {(6, -3, 1)} The nth term of a sequence is given. Find the indicated term. A_n= 2^n + 3; a_4 A) 24 B) 48 C) 19 D) 11 a_n = 2^n/(n + 1)!;a_6 A)64/7 B) 4/315 C) 16/3 D) 1/420 Find the indicated term of the arithmetic sequence based on the given information. A_1 = 76 and a_9 = 44; Find a_40. A)-72 B)-76 C) -84 D)-80 A lecture ball has 14 rows of seats. The first row has 10 seats, and each row after that has 2 more seats than the previous row. How many seats are in the last row? How many seats are in the lecture hall? A) last row: 38; total seats: 168 B) last row: 38; total seats: 336 C) last row: 36, total seats: 168 D) last row: 36; total seats: 322