Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.5x + 2y + z =-112x - 3y - z=177x - y=12

A. {(-2, 0, -1)}
B. {(1, -5, 0)}
C. ?
D. {(0, -6, 1)}


Answer: C

Mathematics

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Solve.A box is constructed by cutting out square corners of a rectangular piece of cardboard and folding up the sides. If the cutout corners have sides with length x, then the volume of the box is given by the polynomial  Factor out the greatest common factor for this expression.

A. 4x(x2 - 18x + 45) B. 4(x3 - 18x2 + 45x) C. 4x(x2 + 18x + 45) D. 2x(2x2 - 36x + 90)

Mathematics

Find the lump sum deposited today that will yield the same total amount as this yearly payment made at the end of each year for 20 years at the given interest rate, compounded annually.$800 at 3%

A. $12,332.00 B. $11,902.00 C. $11,458.56 D. $11,894.00

Mathematics

Solve the problem.The logistic growth function f(t) =  describes the population of a species of butterflies  after they are introduced to a non-threatening habitat. How many butterflies were initially introduced to the habitat?

A. 760 butterflies B. 7 butterflies C. 90 butterflies D. 2 butterflies

Mathematics

Find a simplified form of f(x). Assume that x can be any real number.f(x) = 

A. f(x) = 3?- 6?
B. f(x) = 12?- 6?
C. f(x) = 3(x - 6)
D. f(x) = 3?- 6?

Mathematics