Plot the graph of the equation. Check for symmetries and find all x- and y-intercepts.y = x4 - 2x3 - x2 + 2
A.
B.
C.
D.
Answer: A
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In the indicated voting system, the weights represent, in order, voters A, B, C, and so on. Identify the dictator if there is one, and identify those voters with veto power if there are any.[15 : 1, 2, 3, 3, 4, 5]
A. Voter F is a dictator; voter F has veto power. B. No dictator; voter F has veto power. C. No dictator; voters E and F have veto power. D. Voter F is a dictator; no voters have veto power.
Describe a one-to-one correspondence between the given set and one of its proper subsets. For example, if we gave you the set {3, 5, 7, 9, 11, ...}, the nth term is 2n +1. You could then write the correspondence by matching the elements of {3, 5, 7, 9, 11, ...} with the elements of the subset {5, 7, 9, 11, 13, ...}. The general correspondence would match 2n + 1 with 2n + 3.{6, 8, 10, 12, ...}
A.
6, | 8, | 10, | 12, ..., | 2n + 8, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
B.
6, | 8, | 10, | 12, ..., | 2n + 5, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 7, | ... |
C.
6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
? | ? | ? | ? | ? |
8, | 10, | 12, | 14, ..., | 2n + 6, | ... |
D.
6, | 8, | 10, | 12, ..., | 2n + 4, | ... |
? | ? | ? | ? | ? |
7, | 9, | 11, | 13, ..., | 2n + 6, | ... |
Indicate whether the graph of the equation is a circle, an ellipse, a hyperbola, or a parabola. Then graph the conic section.x2 = 4 - (y + 8)2
A. parabola
B. hyperbola
C. ellipse
D. circle
Solve the problem.You inherit $10,000 with the stipulation that for the first year the money must be invested in two stocks paying 6% and 11% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $800?
A. $5000 invested at 6%; $5000 invested at 11% B. $7000 invested at 6%; $3000 invested at 11% C. $6000 invested at 6%; $4000 invested at 11% D. $4000 invested at 6%; $6000 invested at 11%