Solve the inequality algebraically. Express the solution in interval notation.
? 5
A.
B.
C.
D.
Answer: A
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Solve the system by the addition method.
A. (4, ), (4, -
)
B. (4, ), (4, -
), (-4,
), (-4, -
)
C. (3, ), (3, -
), (-3,
), (-3, -
)
D. (3, ), (3, -
)
Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?
A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2
Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. 3.87 × 4
A. 7 B. 7.87 C. 15.48 D. 15
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = 2(x - 3)
A. domain: (-?, ?); range: (0, ?)
horizontal asymptote: y = 0
B. domain: (-?, ?); range: (0, ?)
horizontal asymptote: y = 0
C. domain: (-?, ?); range: (-?, 0)
horizontal asymptote: y = 0
D. domain: (-?, ?); range: (-?, 0)
horizontal asymptote: y = 0