Provide an appropriate response.Determine the point elasticity ? of the demand equation pq = 81, where p > 0 and q > 0.
What will be an ideal response?
? = 1; demand has unit elasticity
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Write the Hindu-Arabic numeral in expanded form.61
A. (1 × 101) + (6 × 1) B. (6 × 101) + (1 × 1) C. (6 × 102) + (1 × 10) D. (6 × 101)
Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 3, with density ?(x) = x
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Provide an appropriate response.The graphs of two linear functions f and g are shown in the figure. Solve (i) the equation 
and (ii) the inequality 
A. x = 1; x < 1 B. x = 0; 0 < x < 1 C. x = 1; x < 3 D. x = 3; x < 3
The graph is a translation of one of the basic functions defined by y = x2, y = x3, y = 
, or y = 
. Find the equation that defines the function.
A. y = (x - 3)3 B. y = x3 - 3 C. y = (x - 3)3+ 5 D. y = (x + 3)3