Use the square root method to solve the equation. x2 + 2 = 171

A. 85.5
B. ±12
C. ±13
D. 13


Answer: C

Mathematics

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Write as the sum and/or difference of logarithms. Express powers as factors.log2

A. 7log2x -log2(x + 2) B. log2(x + 2) - 7log2x C. log2(x + 2) + 7log2x D. log2(x + 2) -log2x

Mathematics

Provide an appropriate response. Is the statement true or false?3x3 + 2x4 = 5x7 

A. False B. True

Mathematics

Provide an appropriate response.Consider the functions f(x) = x2 and g(x) = x3 and their linearizations at the origin. Over some interval  the approximation error for g(x) is less than the approximation error for f(x) for all x within the interval. Derive a reasonable approximation for the value of ?. Show your work. (Hint, the absolute value of the second derivative of each function gives a measure of how quickly the slopes of the function and its linear approximation are deviating from one another.)

What will be an ideal response?

Mathematics

Simplify the expression and combine like terms.5p2 + 7p3 - 9p2 - 5p3

A. -4p2 + 2p3 B. -2p2p3 C. -2p2 D. 12p2 - 14p3

Mathematics