State the domain and range in interval notation.f(x) = -(x + 4)2 + 7
A. domain: (-?, ?); range: [7, ?)
B. domain: [7, ?); range: (-?, ?)
C. domain: (-?, 7]; range: (-?, ?)
D. domain: (-?, ?); range: (-?, 7]
Answer: D
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Find the vector projv u.v = 2i - 2j - 4k, u = 5i - 12k
A. i -
j -
k
B. i -
j -
k
C. i -
k
D. i -
k
Find the inverse of the function.f(x) = -5 - 3x
A. f-1(x) = - +
B. f-1(x) = - -
C. f-1(x) = -2 - x
D. f-1(x) = -
Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is cubic meters. If the earth could be filled with bacteria, how many would it contain?
A. 2.0 × 10-30 bacteria B. 5.0 × 10-31 bacteria C. 2.0 × 1030 bacteria D. 5.0 × 1031 bacteria
Solve the problem. Express your answer as an integer or simplified fraction. - 4 =
- 3
A. - 14 B. - 6 C. 14 D. - 2