Provide an appropriate response.In solving a system of three equations in three variables, the final step yields the following equation:   How many solutions does this system have? Explain geometrically.

What will be an ideal response?


There are no solutions. There is no common intersection. All three planes are parallel, or two planes coincide and are parallel to the third, or two planes are parallel and intersect the third plane. Other configurations are possible in which there is no common intersection. (Explanations will vary.)

Mathematics

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Determine whether the sequence of vertices is i) a walk, ii) a path, iii) a circuit in the given graph.L ? H ? G ? F ? B

A. Walk, path, and circuit B. Walk only C. None of these D. Walk and path

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Expand.(3x2 - 2)3

A. 27x3 - 54x2 + 36x - 8 B. (9x4 - 12x2 + 4)3 C. 81x8 + 27x6 - 54x4 + 36x2 - 8 D. 27x6 - 54x4 + 36x2 - 8

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Solve the problem.Sonya takes a job that pays $3000 the first year and a raise of $600 per year. What will her salary be for the 15th year?

A. $11,400 B. $8400 C. $12,000 D. None of the above

Mathematics

A function and its graph are given. Use the graph to find , if it exists, where . Confirm your results analytically.

?

 
?

A.
B.
C.
D.
E. does not exist

Mathematics