Solve.From a 24-inch by 24-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x. Graph the function and from the graph determine the value of x, to the nearest tenth of an inch, that will yield the maximum volume.
A. 3.7 inches
B. 4.1 inches
C. 3.8 inches
D. 4.0 inches
Answer: D
Mathematics
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Find the inverse of the matrix (if it exists).A = 
A. A-1 = 
B. A-1 = 
C. A-1 = 
D. A-1 = 
Mathematics
Express the given function as a composite of functions f and g such that y = f(g(x)).y = (-2x - 17)2
A. f(x) = x2, g(x) = -2x - 17 B. f(x) = (-2x)2, g(x) = -17 C. f(x) = -2x - 17, g(x) = x2 D. f(x) = -2x2, g(x) = x - 17
Mathematics
Factor by grouping.2x + 16 + xy + 8y
A. (y + 8)(x + 2) B. (y + 8)(2x + y) C. (x + 8y)(2 + y) D. (x + 8)(2 + y)
Mathematics
Solve the problem.In a sale, the price of a computer is reduced from $1600 to $1317. Find the discount and the rate of discount. Round the discount rate to the nearest tenth of a percent if necessary.
A. $273; 20.7% B. $283; 21.5% C. $273; 17.1% D. $283; 17.7%
Mathematics