Find an equation of variation for the given situation.y varies jointly as x and the square of z, and y = 450 when x = 9 and z = 5
A. y = 10xz
B. y = 2xz2
C. y = 3xz2
D. y = 
Answer: B
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Solve the problem.A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced-in area is to be twice the width, and the total amount of fencing to be used is 290 feet. Find the length and width of the fenced-in area.
A. length = 64.4 feet, width = 32.2 feet B. length = 24.1 feet, width = 12 feet C. length = 58 feet, width = 29 feet D. length = 31 feet, width = 29 feet
Use DeMoivre's Theorem to write the expression in rectangular form.
4
A. 
+ 
i
B. 81i
C. 
+ 
i
D. 
+ 
i
In the energy demand problem above, the demand vectors could be represented in a 2 row matrix, where row 1 contains the energy demands of the consumers and row 2 contains the energy demands of the energy industries:D = 
A boom in the economy causes an across the board increase of 10% in energy demands in the area. Calculate a new demand matrix which reflects this increase.
What will be an ideal response?
Provide an appropriate response.A student is trying to solve the equation (x + 2)(x - 4) = 6. The student has set x + 2 = 6 and x - 4 = 6 and found that two solutions x = 4, x = 10. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?
What will be an ideal response?