Answer the question or provide the appropriate response.Which of the following graphical methods may be used to find two positive numbers whose sum is 12 and whose product is 32? (More than one method may be correct.)(i) Graph the function y = x2 - 12x + 32 and find its x-intercepts.(ii) Graph the functions y1 = -x2 + 12x and y2 = 32. Find the intersection points of these two graphs.(iii) Graph the function y = x2 - 12x + 32 and find the coordinates of the vertex.
A. (i) only
B. (i), (ii)
C. (iii) only
D. (i), (ii), (iii)
Answer: B
Mathematics
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A. 81,000 B. 8,100,000 C. 405 D. 810,000
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Give the appropriate form of the partial fraction decomposition for the following function.f(x) = 
A. 
+
+ 
B. 
+ 
C. 
+ 
D. 
+ 
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Use rational exponents to simplify. Write the answer in radical notation if appropriate.
7
A. 
B. 
C. 11x5
D. 11x7
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Solve the problem.A twelve-sided die is weighted so that only the numbers 1 through 8 will appear and they will occur with the same probability. What probability should be assigned to each face?
What will be an ideal response?
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