Simplify. Write your answers in the form of a+bi, where a and b are real numbers.(8 -
) (3 +
)
A. 60 - 60 i
B. -60 + 60 i
C. 60 + 60 i
D. 1320 + 696 i
Answer: C
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Find the inverse of the function.f(x) = x + 4
A. f-1(x) = x + 3
B. f-1(x) = 3x - 12
C. f-1(x) = x - 4
D. f-1(x) = 3x + 12
Simplify.
A. 0.3(x + 8) B. 0.3(x + 2) C. 0.9(x + 8) D. 0.3(x + 2)3
Solve the problem.A simplified economy is based on agriculture, manufacturing, and transportation. Each unit of agricultural output requires of its own output, 0.5 of manufacturing, and
of transportation output. Each unit of manufacturing output requires
of its own output, 0.1 of agricultural, and
of transportation output. Each unit
of transportation output requires of its own output, 0.2 of agricultural, and 0.1 of manufacturing output. There is demand for
of agricultural,
of manufacturing, and
of transportation output. How many units should each segment of the economy produce?
A. Agriculture: 274; manufacturing: 150; transportation: 257
B. Agriculture: 150; manufacturing: 257; transportation: 274
C. Agriculture: 257; manufacturing: 274; transportation: 150
D. Agriculture: 274; manufacturing: 257; transportation: 150
Solve the problem.Two tracking stations are on the equator 129 miles apart. A weather balloon is located on a bearing of from the western station and on a bearing of N23°W from the eastern station. How far is the balloon from the western station? Round to the nearest mile.
A. 114 miles B. 143 miles C. 105 miles D. 134 miles