Find the domain of the rational function.r(x) = 
A. All real numbers except -6 and -8
B. All real numbers except 6 and 8
C. All real numbers except -5 and 4
D. All real numbers except 5 and -4
Answer: B
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Solve the problem.The kind of symmetries found in the wallpaper pattern shown below are the identity and
A. translations and horizontal reflections only. B. translations and vertical reflections only. C. translations only. D. translations and 180° rotations only. E. none of these
A manufacturer of doors, windows, and cabinets writes her yearly profit (in thousands of dollars) for each category in a vector as: Her fixed costs of production can be described by the vector:
Use the matrix operations on a graphing calculator to find her income if increasing it by 20% would cause an increase in profit of 50%. (Round to the nearest thousand dollars.)
What will be an ideal response?
Solve the problem by using three variables.A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.60 per pound, almonds for $2.60 per pound, and cashews for $3.25 per pound. Suppose a specialty shop wants a mixture of 300 pounds that will cost $2.81 per pound. Find the number of pounds of each type of nut if the sum of the number of pounds of almonds and cashews is four times the number of pounds of peanuts. Round your answers to the nearest pound.
A. Peanuts: 190 lb., almonds: 60 lb., cashews: 50 lb. B. Peanuts: 50 lb., almonds: 190 lb., cashews: 60 lb. C. Peanuts: 60 lb., almonds: 50 lb., cashews: 190 lb. D. Peanuts: 70 lb., almonds: 50 lb., cashews: 180 lb.
Solve the problem.Michael's bank contains only nickels, dimes, and quarters. There are 67 coins in all, valued at $5.25. The number of nickels is 1 short of being three times the sum of the number of dimes and quarters. How many dimes are in the bank?
A. 15 dimes B. 10 dimes C. 50 dimes D. 7 dimes