Use a quantifier to make the following true or false, as indicated, where x is a natural number.x3 = 8 (make true)
A. Every natural number x satisfies x3 = 8.
B. There exists a natural number x such that x3 = 8.
C. No natural number x exists such that x3 = 8.
D. Three natural numbers x exist such that x3 = 8.
Answer: B
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Find the interval(s) for b such that the following equation has at least one real solution and write a conjecture about the interval(s) based on the values of the coefficients
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.
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A.
If and
,
or
B.
If and
,
or
C.
If and
,
or
D.
If and
,
or
E.
If and
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or
Graph y= -3sinx
Determine whether the graph is the graph of a function.
A. Yes B. No
Determine the real solutions to the system of nonlinear equations.x2 - 3y2 - 1 = 04x2 + 3y2 - 19 = 0
A. (2, 1), (2, -1), (-2, 1), (-2, -1) B. (-1, 2), (1, -2) C. (1, 2), (-1, 2), (1, -2), (-1, -2) D. (2, 1), (-2, -1)