Determine whether the following statement is true or false using a proof or counterexample. Assume that u, v, and w are nonzero vectors in ?3.u × (v - w) = (u × w) - (u × v)
What will be an ideal response?
(Answers may vary.) False. Let u = , v =
, w =
. Then u × (v - w) =
, but
(u × w) - (u × v) = .
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Fill in the blank with one of the words or phrases listed below. Some words may be used more than once.
= original price - amount of discount.
A. Total price B. Sales price C. Amount of discount D. Sales tax
Tell whether the statement is true or false.Some real numbers are integers.
A. True B. False
Graph the absolute value function. State the domain and range.f(x) = + 6
A. Domain: (-?, ?); Range: [+6, ?)
B. Domain: (-?, ?); Range: [0, ?)
C. Domain: (-?, ?); Range: [+6, ?)
D. Domain: (-?, ?); Range: [+6, ?)
Factor completely, or state that the polynomial is prime.x3 - x2 - 20x
A. x(x + 4)(x - 5) B. (x2 + 1)(x - 20) C. x(x + 5)(x - 4) D. prime