Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.5x + 3y = 556x + 6y = 90

A. Inconsistent; independent
B. Consistent; independent
C. Consistent; dependent
D. Inconsistent; dependent


Answer: B

Mathematics

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Find the flux of the curl of field F through the shell S.F = -3yi + 9zj + 6xk; S: r(r, ?) = r cos ?i + r sin ?j + (4 - r2)k, 0 ? r ? 2 and 0 ? ? ? 2?

A. 6? B. 12 C. 12? D. -12?

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Write the interval as an inequality involving x. Graph the inequality.[-1, 3]

A. -1 < x ? 3

B. -1 < x < 3

C. -1 ? x < 3

D. -1 ? x ? 3

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Determine independence. Answer Yes or No.The table shows the political affiliation of voters in one city and their positions on stronger gun control laws.  ?Stronger Gun Control Are party affiliation and position on gun control laws independent?

A. Yes B. No

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Sketch the logarithmic function. Determine the domain, range, and the equation of any vertical asymptotes.f(x) = log4(x - 2) - 2

A. Domain: (-2, ?), range: (-?, ?)
Vertical asymptote: x = -2

B. Domain: (2, ?), range: (-?, ?)
Vertical asymptote: x = 2

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Vertical asymptote: x = -2

D. Domain: (2, ?), range: (-?, ?)
Vertical asymptote: x = 2

Mathematics