Find functions f and g so that f ? g = H.H(x) = 
A. f(x) = 
, g(x) = x2 - 6
B. f(x) = 
; g(x) = 
- 9
C. f(x) = x2 - 6; g(x) = 
D. f(x) = 
- 9; g(x) = 
Answer: A
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Find all solutions of the equation in the interval [0, 2?).2 cos
- 
= 0
A. 
B. 
C. 
D. 
Express the solution set of the inequality in interval notation.x ? -22
A. (-?, -22) B. [-22, ?) C. (-?, -22] D. (-22, ?)
An open box is to be constructed from a piece of cardboard 24 cm by 35 cm by cutting squares of side length x from each corner and folding up the sides, as shown in the figure.
?
?
(a) Express the volume V of the box as a function of x.
?
__________
?
(b) What is the domain of V? (Use the fact that length and volume must be positive.)
?
__________ < x< __________
?
(c) Draw a graph of the function V and use it to estimate the maximum volume for such a box. Please round the answer to the nearest whole number.
?
__________ cm3
What will be an ideal response?
Factor the trinomial completely.a2(a + b)2 - ab(a + b)2 - 20b2(a + b)2
A. (a + b)2(a - 5b)(a + 4b) B. (a + b)2(a - 4b)(a + 5b) C. (a + b)2(a - 5)(a + 4) D. (a - 5b)(a + 4b)(a + b)