Simplify the polynomial by adding or subtracting, as indicated. Express your answer as a single polynomial in standard form.(x3 + 7xy - 5y2) - (9x3 + 5xy + y2)

A. -8x3 + 2xy - 6y2
B. 8x3 - 2xy - 4y2
C. 10x3 + 2xy - 6y2
D. -8x3 + 2xy - 4y2

Answer: A

Mathematics

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A. 21 B. 7 C. -7 D. -21

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Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 5j,w = i + j

A. v1 = 3i + 3j), v2 = -2i + 2j
B. v1 = 6i + 6j, v2 = -4i + 4j
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D. v1 = i + j, v2 = - i + j

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Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.4 + 8 + 12 + ... + 4n = 2n(n + 1)

What will be an ideal response?

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Place the correct symbol ( <, >, or = ) between the two real numbers. ? -(-10)     -10 ?

A. -(-10) ?  -10 B. -(-10) >  -10 C. -(-10) =  -10 D. -(-10) ?  -10 E. -(-10) <  -10

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Mathematics