Solve the problem.An open-top rectangular box has a square base and it will hold 256 cubic centimeters (cc). Each side of the base has length x cm. The box's surface area S is given by S(x) = 
+ x2. Estimate the minimum surface area and the value of x that will yield it.
A. 256 cm2 when x = 6 cm
B. 192 cm2 when x = 8 cm
C. 207 cm2 when x = 6 cm
D. 256 cm2 when x = 8 cm
Answer: B
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Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.Tangent to the x axis, a radius of length 7, and abscissa of center is –8
A. x2 + y2 - 16x - 14y + 64 = 0 and x2 + y2 - 16x + 14y + 64 = 0 B. x2 + y2 + 16x - 14y + 64 = 0 C. x2 + y2 + 16x - 14y + 64 = 0 and x2 + y2 + 16x + 14y + 64 = 0 D. x2 + y2 + 16x + 14y + 64 = 0 E. x2 + y2 - 16x + 14y + 64 = 0
Choose the best estimate from the list.
? 3
is approximately -4, -3, -2, -1
A. -4 B. -3 C. -1 D. -2
Use transformations to explain how the graph of the given function can be obtained from the graph of the appropriate root function (y = 
or y =
).f(x) = 
A. Rewrite as 2
. Shift the graph of y = 
to the left 4 units and stretch vertically by a factor of 2.
B. Rewrite as 2
. Shift the graph of y = 
to the right 4 units and stretch vertically by a factor of 2.
C. Rewrite as 2
. Shift the graph of y = 
to the right 2 units and upward 4 units.
D. Rewrite as 2
. Shift the graph of y = 
upward 4 units and stretch vertically by a factor of 2.
The manufacturer of a medicine wants to test how a new 300-milligram capsule is released into the bloodstream. After a volunteer is given a capsule, blood samples are drawn every half-hour, and the number of milligrams of the drug in the bloodstream is calculated. The results obtained are as follows.
Time t
N(t)
(hr)
(mg)
0
0
0.5
246.5
1
266
1.5
236.9
2
178.1
2.5
115.9
Use the trapezoidal rule to approximate the average number of milligrams in the bloodstream during the first 
hours and round your answer to two decimal places.
?
A. 433.60 mg
B. 197.09 mg
C. 123.18 mg
D. 256.22 mg
E. 335.05 mg