Solve the system of equations by determinants. 4w - 4y + z = 16-w + x + 3y - z = -95w - x + 3z = -10  x + 4y - z = -15

A. w = 0, x = -1, y = 5, z = 5
B. w = -1, x = 5, y = -5, z = 0
C. w = 1, x = 7, y = -5, z = -1
D. w = -2, x = 0, y = -6, z = 1


Answer: B

Mathematics

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Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.7x2 - 27x + 4

A. (7x - 1)(x + 4) B. (7x + 1)(x - 4) C. (7x - 4)(x + 1) D. prime

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Write the expression in terms of sines and/or cosines, and then simplify.sec x + sin x

A.
B. sin x
C.
D.

Mathematics

Solve the problem.A nuclear cooling tower cross section is a hyperbola having a diameter of 64 ft at the center. The distance between the two foci is 90 ft. What is the equation for the hyperbola?

A.  -  = 1
B.  -  = 5
C.  -  = 1
D.  -  = 1

Mathematics

Use the Rational Zero Theorem to list all possible rational zeros for the given function.f(x) = -2x3 + 2x2 - 4x + 8

A. ± , ± , ± , ± 1, ± 2, ± 4, ± 8
B. ± , ± 1, ± 2, ± 4, ± 8
C. ± , ± 1, ± 2, ± 4
D. ± , ± , ± 1, ± 2, ± 4, ± 8

Mathematics