Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables.
A.
6x - 5y + 3z | = | -2 |
2x + 7z | = | -4 |
4x + 2y | = | -2 |
B.
6x + 5y + 3z | = | -2 |
2x + 7z | = | 4 |
4x + 2y | = | 2 |
C.
6x + 5y + 3z | = | -2 |
2x + y + 7z | = | 4 |
4x + 2y + z | = | 2 |
D.
6x + 5y + 3z | = | -2 |
2x + 7z | = | 4 |
4x + 2z | = | 2 |
Answer: B
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Solve.The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $270,000, find each worker's salary.
A. president's salary = $20,250; department head's salary = $6750 B. president's salary = $202,500; department head's salary = $67,500 C. president's salary = $67,500; department head's salary = $202,500 D. president's salary = $135,000; department head's salary = $67,500
Write the following equation in logarithmic form. For example, 2 3 = 8 becomes log 2 8 = 3 in logarithmic form.
A.
B.
C.
D.
E.
Rationalize the denominator. Assume all variables represent positive numbers.
A.
B. 5
C.
D. 5
Perform the division.
A. 3x - 4 +
B. 11x - 4
C. 3x - 32x3 +
D. 3x - 4