Verify the identity.cos 4x = cos4 x - 6 sin2 x cos2 x+ sin4 x
What will be an ideal response?
cos 4x = cos [2(2x)] = cos22x - sin22x = 
= cos4 x - 6 sin2 x cos2 x + sin4 x
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Solve the radical equation. Check all proposed solutions.
= 
+ 1
A. x = - 
, 
B. x = 
, 2
C. x = 
D. no solution
Solve the problem.A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $6.75. Another customer buys 4 hot dogs and 2 bags of potato chips for $6.50. Find the cost of each item.
A. $0.75 for a hot dog; $1.25 for a bag of potato chips B. $1.25 for a hot dog; $1.00 for a bag of potato chips C. $1.25 for a hot dog; $0.75 for a bag of potato chips D. $1.50 for a hot dog; $1.00 for a bag of potato chips
Solve the problem.Two tracking stations are on the equator 173 miles apart. A weather balloon is located on a bearing of N 41°E from the western station and on a bearing of N 22°E from the eastern station. How far is the balloon from the western station? Round to the nearest mile.
A. 493 mi B. 473 mi C. 464 mi D. 502 mi
Solve the problem.Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 34 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on level ground.
A. 7
mph
B. 7 mph
C. 4 mph
D. 4
mph