Fill in the blank with one of the words or phrases listed below.
A
of a system of two linear equations in two variables is an ordered pair of numbers that is a solution of both equations in the system.
A. consistent
B. substitution
C. dependent
D. solution
Answer: D
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Solve the problem.If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands), then one of the states loses a seat to another if the original number of seats being apportioned is 48. Which state loses a seat to which state, and does the New States paradox occur?
A. a loses a seat to b, no B. b loses a seat to a, yes C. b loses a seat to a, no D. a loses a seat to b, yes
Using the graph, determine any relative maxima or minima of the function and the intervals on which the function is increasing or decreasing. Round to three decimal places when necessary.f(x) = x3 - 3x2 + 1
A. relative maximum: 1 at x = 0; relative minimum: -3 at x = 2; increasing
decreasing
B. relative maximum: 1 at x = 0; no relative minima; increasing
C. relative maximum: -3 at x = 2; relative minimum: 1 at x = 0; increasing (0, 2); decreasing
D. no relative maxima; relative minimum: -3 at x = 2; increasing
Graph the equation by plotting points.x = y2
A.
B.
C.
D.
Solve.The pitch of a screw is the distance between threads. With each complete rotation of the screw, it goes in or out a distance equal to its pitch. How far will a screw with a pitch of in. go into a piece of wood when it is turned 10 complete rotations clockwise?
A. in.
B. in.
C. in.
D. in.