Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.

focus: (0, -1)

A. y2 = -4x
B. x2 = -4y
C. x2 = y
D. y2 = -x
E. x2 = -y


Answer: B

Mathematics

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Use Jefferson's method to find the apportionment.A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table.Find the apportionment for state D using Jefferson's method.

A. 23 B. 25 C. 26 D. 24

Mathematics

Find the center of mass of a thin plate covering the given region with the given density function.The region between the curve y =  and the x-axis from x = 1 to x = 9, with density ?(x) = 

A.  =  = 
B.  =  = 1
C.  = 5,  = 2
D.  =  = 24

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Provide an appropriate response.PITI includes:

A. payment, interest, time, income B. principal, income, taxes, insurance C. payment, income, time, interest D. principal, interest, taxes, insurance

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Solve the system by graphing. 3x + y = 13 4y = 52 - 12x

A. Infinitely many solutions B. (0, 13) C. No solution D. (5, -2)

Mathematics