Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent.  x + y + z =  3 x - y + 2z =  83x + y + z =  5

A. Inconsistent
B. Independent
C. Dependent


Answer: B

Mathematics

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Use the graph of a known basic function and vertical shifting to sketch the function.f(x) = x2 - 1

A.

B.

C.

D.

Mathematics

A building in the shape of a rectangular box is to have a volume of 6,000ft3 (see the figure). It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $3/square foot for the front and back, and $2/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost(C)? ? 

A. x = 30; y = 20; z = 10; C = 3,500 B. x = 20; y = 30; z = 30; C = 3,500 C. x = 30; y = 20; z = 20; C = 3,600 D. x = 20; y = 30; z = 10; C = 3,600

Mathematics

Find the slope of the tangent line to the graph of f at the given point.f(x) = -2x + 20 at (8, 4)

A. - 
B. -2
C. 20
D. -20

Mathematics

Find a cubic polynomial in standard form with real coefficients having the given zeros.-3 and 3 - 2i

What will be an ideal response?

Mathematics