Factor the binomial completely.81 - w2
A. (9 - w)2
B. (9 + w)2
C. prime
D. (9 - w)(9 + w)
Answer: D
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point. B. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. C. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. D. The mountainside rises in all directions relative to the dip.
Solve the problem.A projectile is fired from a cliff 500 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 270 feet per second. The height h of the projectile above the water is given by 
where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?
A. 2208.59 ft B. 1069.53 ft C. 1139.06 ft D. 569.53 ft
Find the unknown value.$624 simple interest is paid when $2600 is borrowed for 6 years. Find the simple interest rate.
A. 5% B. 3% C. 4% D. 4.5%
Solve.A company has just purchased a new computer for $7000. The company chooses to depreciate the computer using the straight-line method over 7 years. A linear function that expresses the book value V of the computer as a function of its age x is 
What is the implied domain of this linear function?
A. [0, 7] B. [0, ?) C. [0, 7000] D. (-?, 7]