An expression that occurs in calculus is given. Factor completely.2(x + 4)(x - 3)3 + (x + 4)2 ? 4(x - 3)2
A. (x + 4)(x - 3)2(6x + 10)
B. (x + 4)(x - 3)2(3x + 5)
C. 2(x + 4)(x - 3)2(3x + 5)
D. 2(x + 3)(x - 4)2(3x + 5)
Answer: C
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Solve the problem.Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph where the function has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the function's first and second derivatives.y = x3 - 15x2
What will be an ideal response?
Solve the equation for the specified variable.
+ 
= 
for c
A. c = 
B. c = 
C. c = ab(a + b)
D. c = a + b
Write the sample space for the experiment. Ed and Juan each have a bag containing 3 slips of paper labeled rock, paper, and scissors. Each of them draws a slip from their own bag.
A. S = {(rock, paper), (rock, scissors), (paper, scissors)} B. S = {(rock, paper), (rock, scissors), (paper, rock), (paper, scissors), (scissors, rock), (scissors, paper)} C. S = {(rock, rock), (rock, paper), (rock, scissors), (paper, rock), (paper, paper), (paper, scissors), (scissors, rock), (scissors, paper), (scissors, scissors)} D. S = {(3, 3)}
Solve the problem.Use the line graph to determine how many more hours were needed to prepare for Test 2 than for Test 3.
A. 2 hours B. 1 hours C. 4 hours D. 3 hours