The graph of a logarithmic function is given. Select the function for the graph from the options.

A. f(x) = log3(x + 2)
B. f(x) = log3x
C. f(x) = log3x + 2
D. f(x) = log3(x - 2)


Answer: C

Mathematics

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C. 254 sq yd
D. 509 sq yd

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Find the maximum value of Q(x) subject to the constraints xTx = 1 and xTu = 0, where u is a unit eigenvector corresponding to the greatest eigenvalue of the matrix of the quadratic form.Q(x) = 14 + 14 + 18 + 26x1x2 + 18x1x3 + 18x2x3

A. 1 B. 9 C. 36 D. 16

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The sequence is defined recursively. Write the first four terms.a1 = ; an =  

A. a1 = , a2 = 10, a3 = 10, a4 = 100
B. a1 = , a2 = 10, a3 = 100, a4 = 1000
C. a1 = , a2 = , a3 = , a4 = 
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Factor completely. If a polynomial cannot be factored, say it is prime.5t5 - 15t4 - 50t3

A. (t - 2)(5t4 + 25) B. (5t4 + 10)(t - 5) C. 5t3(t - 2)(t + 5) D. 5t3(t + 2)(t - 5)

Mathematics