Add or subtract as indicated. Express the answer as a single polynomial in standard form.(5x5 + 5x3) + (3x5 + 2x3 + 5)
A. 5x + 7x5 - 3x3
B. 12x9
C. 8x5 + 7x3 + 5
D. -5x5 + 7x3 + 5x
Answer: C
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Solve the equation.x2 + 6x + 9 = 12
A. ±2
B. -3 ± 2
C. -3 ± 2
D. 2
± - 3
Use reduction formulas to evaluate the integral.
A. - 
sin4 2x cos 2x - 
sin2 2x cos 2x - 
cos 2x + C
B. - 
sin4 2x cos 2x - 
sin2 2x cos 2x - 
cos 2x + C
C. - 
sin4 2x cos 2x - 
sin2 2x cos 2x - 
sin 4x + 
+ C
D. - 
cos4 2x sin 2x - 
cos2 2x sin 2x - 
cos 2x + C
Solve the linear programming problem.A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?
A. 76 bottles of white and 42 bottles of red B. 42 bottles of white and 59 bottles of red C. 14 bottles of white and 132 bottles of red D. 132 bottles of white and 14 bottles of red
Solve the problem.On her way to a holiday weekend, Nancy drove 2
hours in rush-hour traffic. When traffic eased up, she was able to increase her speed by 42 miles per hour and drove another 4
hours. If the entire trip was 343 miles, how fast did she drive in rush-hour traffic?
A. 24 mph
B. 23
mph
C. 22 mph
D. 23 mph