Use the Factor Theorem to determine whether x - c is a factor of f(x).f(x) = 3x3 + 10x2 - 7x - 4; x + 4
A. Yes
B. No
Answer: B
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Sketch the indicated set. Describe the boundary of the set. Finally, state whether the set is open, closed or neither.{(x, y) : 1 < (x - 2)2 + y2 ? 3}
A.
The boundaries are two circles, one of
radius 1 and the other of radius 3, both
centered at (2, 0). The set is neither closed or open.
B.
The boundary is the circle of radius 3
centered at (2, 0). The interior is the
set of all points within the circle.
The set is open.
C.
The boundary is the circle of radius 1
centered at (2, 0). The interior is the set
of all points within the circle.
The set is closed.
D.
The boundaries are two circles, one of
radius 1 and the other of radius 3, both
centered at (2, 0). The interior is the set
of all points in between the two circles.
The set is closed.
Solve the problem.Find the value of a for the line that passes through (a, -6) and (-4, a) and has a slope of 3.
A. 9
B. -
C. -
D. -
Construct a boxplot.The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Construct a boxplot for the data set.
A.
B.
C.
D.
Fill in the table to solve the problem.
A. amount of rain: 6.7 in.; rain per day: 53.6 in. B. amount of rain: 7.1 in.; rain per day: 0.4 in. C. amount of rain: 7.1 in.; rain per day: 0.8 in. D. amount of rain: 6.7 in.; rain per day: 0.8 in.