Use the Concavity Theorem to determine where the given function is concave up and where it is concave down. Also find all inflection points.G(w) = 4w2 + 16w + 15
A. Concave up for all w; no inflection points
B. Concave up on (-?, -2), concave down on (-2, ?); inflection point (-2, -1)
C. Concave up on (-2, ?), concave down on (-?, -2); inflection point (-2, -1)
D. Concave down for all w; no inflection points
Answer: D
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Solve the problem.Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line 
if 
.
A. 
= 2, 
= 2
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 1, 
= 1
Simplify the expression.20 - |-30|
A. 50 B. -50 C. 10 D. -10
Solve the problem.The linear equation y = 82.67x + 1181 provides an approximation of the value (in dollars) of an account opened on January 1, 2010, in the amount of $1181 and earning 7% simple interest, where 
represents January 1, 2010, x = 1 represents January 1, 2011, x = 2 represents January 1, 2012, and so on. Write an equation that yields the same y-values when the exact year number is entered.
A. y = 82.67(x - 2011) + 1181 B. y = 82.67(2011 - x) + 1181 C. y = 82.67(x - 2010) + 1181 D. y = 82.67(2010 - x) + 1181
Name the figure(s) that satisfies each set of properties.
It has four sides. Diagonals form two congruent triangles. Diagonals bisect each other. Both pairs of opposite sides are parallel. (a) square (b) kite (c) rhombus (d) a and c