Question

16) A basketball player scored 32 points in a game. The number of three-point field goals the player made was less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals the player made was 6 more than the number of three-point field goals made. Find the number of free-throws, two-point field goals, and three-point field goals that the player made in the game. Solve the system of equations using matrices. Use Gauss-Jordan elimination. Write the augmented matrix and solve the augmented matrix using reduced row echelon form. (use your calculator). -2x + 2y + z-w=16 x -2y-3z +3w-22 Use Cramer's rule to solve the system. 18) 11x+3y 1 5x+ 2y 4 Complete the square and write the equation in standard form. Then give the center and radius of the circle. 19) x2 + y2 + 8x-6y + 25-81 Graph the ellipse. Find the center and vertices. 20) 9(x+ 2)2+4(y -2)2 36

Answer 1