Express as a single logarithm.10loga2 + 7loga7

A. loga(20 + 49)
B. loga
C. loga21077
D. loga210 ? loga77


Answer: C

Mathematics

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Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA, AA}.Suppose that edge AE is removed from the graph. Which of the following statements regarding the resulting graph is true?

A. The resulting graph has two components. B. The resulting graph is connected. C. The resulting graph has 10 components. D. All of these are true. E. None of these are true.

Mathematics

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = 3x2 + 10x + 4Give your answers in exact form.

A. x-intercepts:  and ; y-intercept: 4
B. x-intercepts:  and ; y-intercept: 0
C. x-intercepts:  and ; y-intercept: 4
D. x-intercepts:  and ; y-intercept: 0

Mathematics

Determine which of the following methods is the best choice for solving the given equation: factoring, using the principle of square roots or using the quadratic formula. Then, solve the equation.(x + 3)2 = 13

A. Factoring; 10
B. Square root principle; -3 ±   
C. Square root principle or factoring; 3 ± 
D. Quadratic formula; ±

Mathematics

Solve the equation.5t - 30 = 0

A. 0 B. 6 C. -6 D. 30

Mathematics