Solve the problem.A box is to be made from a rectangular piece of cardboard by cutting a square from each corner and folding up the sides. The rectangular piece of cardboard is originally 28 inches long and 54 inches wide, and the squares removed from the corners are x inches wide. The volume of the box is given by the function 
What restrictions must be placed on x to satisfy the conditions of this model? In other words, what is the domain of this function?
A. 0 < x < 27
B. 0 < x < 14
C. x > 14
D. x > 0
Answer: B
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Find the value of E.
VR = 12 V, R1 = 7 Kê, R3 = 3 Kê, and I1 = 15 mA.
2
a. 12 V
b. 24 V
c. 93 V
d. 105 V
e. 117 V
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(x - 3)2 - 25(y + 4)2 = 25
A. center at (3, -4)
transverse axis is parallel to y-axis
vertices at (3, -9) and (3, 1),
foci at (3, -4 - 
) and (3, -4 + 
),
asymptotes of y - 4 = - 5(x + 3) and y - 4 = 5(x + 3)
B. center at (-4, 3)
transverse axis is parallel to x-axis
vertices at (-9, 3) and (1, 3)
foci at (-4 - 
, 3) and (-4 + 
, 3)
asymptotes of y - 3 = - 
(x + 4) and y - 3 = 
(x + 4)
C. center at (3, -4)
transverse axis is parallel to x-axis
vertices at (-2, -4) and (8, -4)
foci at (3 - 
, -4) and (3 + 
, -4)
asymptotes of y + 4 = - 
(x - 3) and y + 4 = 
(x - 3)
D. center at (3, -4)
transverse axis is parallel to x-axis
vertices at (2, -4) and (4, -4)
foci at (3 - 
, -4) and (3 + 
, -4)
asymptotes of y + 4 = - 5(x - 3) and y + 4 = 5(x - 3)
Using the appropriate right triangle, find the exact value of the trigonometric expression.cot 45°
A. 
B. 1
C. 
D. 
Give the domain and range for the rational function. Use interval notation.f(x) = 
+ 5
A. Domain: (-?, 7) ? (7, ?); Range: (5, ?) B. Domain: (-?, 5) ? (5, ?); Range: (0, ?) C. Domain: (-?, 7) ? (7, ?); Range: (-?, 0) ? (0, ?) D. Domain: (-?, -7) ? (-7, ?); Range: (-?, 5)