Solve the system by using Gaussian elimination with backward substitution or by reducing the matrix to reduced-row echelon form. x + y + z = 14 x - y + 5z = 245x + y + z = 30
A. (5, 4, 5)
B. No solution
C. (4, 5, 5)
D. (5, 5, 4)
Answer: C
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Provide an appropriate response.A car rental company has $540,000 to purchase up to 25 new cars of two different models. One model costs $18,000 each and the other model costs $24,000 each. Write a system of linear inequalities to describe the situation. Let x represent the first model and y represent the second. Find the region described by the system of linear inequalities.
What will be an ideal response?
Multiply.(3a + 2c)(3a - 2c)
A. 3a2 - 2c2 B. 9a2 - 12ac - 4c2 C. 9a2 + 12ac - 4c2 D. 9a2 - 4c2
Find the exact value of the expression. Do not use a calculator.sin 
- cos 
A. 
B. 
C. 0
D. 1
Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = (x + 1)(x - 7)(x - 1)2
A. x = -1, crosses the x-axis; x = 7, crosses the x-axis; x = 1, crosses the x-axis B. x = -1, crosses the x-axis; x = 7, crosses the x-axis; x = 1, touches the x-axis and turns around C. x = 1, crosses the x-axis; x = -7, crosses the x-axis; x = -1, touches the x-axis and turns around D. x = 1, crosses the x-axis; x = -7, touches the x-axis and turns around; x = -1, touches the x-axis and turns around