Find the product of the polynomials.(a + b)(a2 - ab + b2)
A. a3 - b3
B. a3 - 2a2b - 2ab2 + b3
C. a3 + 2a2b + 2ab2 + b3
D. a3 + b3
Answer: D
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Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. Suppose a random sample of earthquakes gave the following information.
x
2.5
4
3.40
4.4
2.4
y
5.2
10.3
10.8
10.3
8.3
Draw the line that best fits the data whose scatter diagram is given below.
A.
B.
C.
D.
E.
Solve the problem algebraically. Clearly define all variables, write an appropriate equaion, and solve.A triangular-shaped stained glass window has two sides that are each 36 inches shorter than four times the length of the shortest side. If the perimeter of the window is 198 inches, what are the lengths of the three sides?
A. 30 inches, 84 inches, 84 inches B. 30 inches, 120 inches, 120 inches C. 30 inches, 54 inches, 54 inches D. 30 inches, 96 inches, 96 inches
Evaluate.5C5
A. 0.5 B. 30 C. 120 D. 1
Solve the problem.An object is propelled vertically upward from the top of a 112-foot building. The quadratic function 
models the ball's height above the ground, 
in feet, t seconds after it was thrown. How many seconds does it take until the object finally hits the ground? Round to the nearest tenth of a second if necessary.
A. 5.5 seconds B. 0.6 seconds C. 2 seconds D. 11.6 seconds