Find the focus and the directrix of the parabola.x = 3y2 + 12y + 8

A. ; x = 
B. (-11-4); x = -13
C. ; x = 
D. (-1-4); x = -7


Answer: C

Mathematics

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Use scientific notation to solve the problem.The national debt of a small country is $7,880,000,000 and the population is 2,183,000. What is the amount of debt per person?

A. $3.61 x 106 B. $36.10 C. $3.61 D. $3.61 x 103

Mathematics

Zane received a quote to move his belongings to his new house. The estimate from the mover is $675 for 6 hours of packing and 5 hours of moving. Zane thinks he can reduce his cost by doing some of the packing and moving himself. If he does, the cost will decrease to $425 for 4 hours of packing and 3 hours of moving. If the mover charges a set hourly rate for packing and another set hourly rate for moving, what are these hourly rates?

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Mathematics

Answer the following:

a. Prove that having n vertices, where n is a positive integer, is an invariant for graph isomorphism. b. Prove that having a vertex of degree 3 is an invariant for graph isomorphism.

Mathematics

Solve.A rectangular sheet of paper measures  ft by  ft. What is its area? 

A.  ft2
B.  ft2
C.   ft2
D.  ft2

Mathematics