Solve the problem.Suppose that an open box is to be made from a square sheet of cardboard by cutting out 
squares from each corner as shown and then folding along the dotted lines. If the box is to have a volume of 16 cubic inches, find the original dimensions of the sheet of cardboard. 
A. 
in. by 2
in.
B. 2 in. by 2 in.
C. 10 in. by 10 in.
D. 4 in. by 4 in.
Answer: C
Mathematics
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Factor by grouping.ax + x - am - m
A. (a + m)(x - 1) B. (a + 1)(x - m) C. (a - 1)(x + m) D. (a - m)(x + 1)
Mathematics
Solve the rational inequality. Write the solution set using interval notation; then graph the solution set on a number line.
? 3x
A. [4, 6]
B. [6, ?)
C. [0, 4] ? (6, ?)
D. (-?, 4] ? [6, ?)
Mathematics
Provide an appropriate response.Give the equation that describes the graph shown.
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Mathematics
Find f[g(x)] and g[f(x)].f(x) = 5x3 + 8; g(x) = 2x
A. f[g(x)] = 40x3 + 16 g[f(x)] = 10x3 + 8 B. f[g(x)] = 10x3 + 16 g[f(x)] = 40x3 + 8 C. f[g(x)] = 10x3 + 8 g[f(x)] = 40x3 + 16 D. f[g(x)] = 40x3 + 8 g[f(x)] = 10x3 + 16
Mathematics