Factor completely.b2 - 24b + 144
A. (b + 12)(b - 12)
B. (b - 12)2
C. (b + 12)2
D. Prime
Answer: B
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Determine an appropriate domain of the function. Identify the independent and dependent variables.A weather balloon of radius r (in meters) is filled with air. The volume V of the balloon is given by the function 
. Assume the balloon can hold up to 8 m3 of air.
A. D = 
The independent variable is r.
The dependent variable is V.
B. D = 
The independent variable is r.
The dependent variable is V.
C. D = 
The independent variable is V.
The dependent variable is r.
D. D = [0, 8]
The independent variable is r.
The dependent variable is V.
Solve the problem.The velocity v (in m/s) of an object moving with acceleration a (in m/s2) is given by 
where t is the time (in seconds). Find the object's velocity as a function of time, if 
A. v = 
+ C
B. v = - 
+ C
C. v = 
+ C
D. v = 
+ C
Provide an appropriate response.A student thinks that the expressions (x + y)2 and x2 + y2 are equal to one another. How would you explain to the student why this is not so.
What will be an ideal response?
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |x - 4| - 6
A. 
B. 
C. 
D. 