Solve the problem.Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If it is not a vector space, determine which of the following properties it fails to satisfy.A: Contains zero vectorB: Closed under vector additionC: Closed under multiplication by scalars
A. H is not a vector space; not closed under vector addition
B. H is not a vector space; not closed under multiplication by scalars
C. H is a vector space.
D. H is not a vector space; does not contain zero vector
Answer: B
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All references are to the figure below. The distance between A and D is a, and the distance between D and C is x. 
Assuming that A = 36°, ?BDC = 42°, and c2 = 21, find h, x, and a.
A. h ? 12.3, x ? 13.7, a ? 3.3 B. h ? 14.1, x ? 15.6, a ? 3.7 C. h ? 12, x ? 14, a ? 3.3 D. h ? 14, x ? 16, a ? 3.7
Solve the inequality and draw a number line graph of the solution.
< 
A. x < 
 |
B. x >
 |
C. x <
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D. x >
 |
Find the percent change if a quantity changes from P1 to P2. Round your answer to the nearest tenth if appropriate.P1 = 4.1, P2 = 2.6
A. 36.6 B. 57.7 C. -36.6 D. -57.7
Solve the problem.An employee was paid $20,625 during the first half of last year. During the second half he was paid $40,858. How much more was his income during the second half?
A. $61,473 B. $20,233 C. $20,223 D. $61,483