Draw an appropriate Venn diagram and use the given information to fill in the number of elements in each region.n(A) = 35, n(A ? B') = 24, n(A ? C) = 15, n(B ? C) = 14, n(A' ? B' ? C') = 10, 

A.

B.

C.

D.


Answer: C

Mathematics

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Solve the problem.Find the equation of the line s with y-intercept (0, 4) and slope perpendicular to the slope of line t, 

A. y = x + 4
B. y = - x - 4
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Find an equation for the line with the given properties.Perpendicular to the line -5x - 3y = 13; containing the point (1, -1)

A. -3x + 5y = -8 B. -5x + 3y = -8 C. -3x - 5y = 13 D. -3x - 5y = -8

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Determine the nature of the roots of the quadratic equation without solving it. 

A. two imaginary roots B. one rational root C. two irrational roots D. two rational roots

Mathematics