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1.) Write the augmented matrix for the system. 3x + 7y + 6z = -20 2x + 8y + 9z = -30 2x + 9y
1.) Write the augmented matrix for the system. 3x + 7y + 6z = -20 2x + 8y + 9z = -30 2x + 9y + 9z = -32 A) 2.) B) 1.) _______ C) D) E) None of these Write the system of equations that corresponds to the augmented matrix. 2.) _______ A) B) C D E) None of these 3.) Fill in the blanks to complete the statement. For a system of 3 equations and 3 unknowns, the corresponding augmented matrix will have ? rows and ? columns. 3.) _______ A) 3; 4 B) 4; 3 C) 3; 3 D) 4; 4 E) None of these 4.) Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent. -3x + 3y = 21 4x + 4y = 60 4.) _______ A) Inconsistent; independent D) Consistent; independent B) Inconsistent; dependent E) None of these C) Consistent; dependent The following questions are each worth 6 points. Show your work. 5.) 6.) 7.) Solve using the substitution method. x + 6y = 0 x - 6y = 84 5.) _____________ Solve the system using Gauss-Jordan elimination. x + y + z = -3 x - y + 3z = -23 5x + y + z = -15 6.) _____________ Solve using the elimination method. 7 3 x+ 5 4 y=4 5 6 x - 2y = 21 8.) 7.) _____________ Northwest Molded molds plastic handles which cost $0.30 per handle to mold. The fixed cost to run the molding machine is $4212 per week. If the company sells the handles for $3.30 each, how many handles must be molded and sold weekly to break even? 1 8.) _____________ 2
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