Solve the problem.Let H be the set of all points in the xy-plane having at least one nonzero coordinate: 
. 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; does not contain zero vector
B. H is not a vector space; not closed under vector addition
C. H is not a vector space; does not contain zero vector and not closed under multiplication by scalars
D. H is not a vector space; fails to satisfy all three properties
Answer: D
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A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 6, an+1 = (-1)nan
A. 6, 6, -6, -6, 6 B. 6, -6, -6, 6, 6 C. 6, -6, 6, -6, 6 D. -6, 6, -6, 6, -6
Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the equation.x2 - 4x - 5 = 0
A. two real solutions B. two nonreal solutions C. exactly one real solution
Solve the problem.The regular price of a ring is $476.50. During a May jewelry sale, the ring was discounted 30%. What was the sale price of the ring?
A. $333.55 B. $142.95 C. $141.95 D. $332.55
Add or subtract. Assume all variables represent nonnegative real numbers.
- 3
- 2
A. -5
B. -5
C. -18
D. -18