Simplify the expression.Write log9(729x3 - 729) - log9(x - 1) as the sum of 3 and the logarithm of a second-degree polynomial.

A. log9(x2 + 1) + 3
B. log9(x2 + x + 1) + 3
C. log9(81x2 + 9x + 1) + 3
D. log9(x2 - x - 1) + 3


Answer: B

Mathematics

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Solve the problem. Write all linear equations in slope-intercept form.By reading a graph on defense spending in the country of Warpeas, you discover that in year 0 the country spent $42 million on defense and in year 8 spent $378 million. Write a linear function that relates y (in millions of dollars) to x.

A. y = -42x - 42
B. y = x + 42
C. y = x + 42
D. y = 42x + 42

Mathematics

Simplify.3x - y - 9(3x - 9y + 7z)

A. -24x - 10y + 7z B. -24x - 82y + 63z C. -24x + 80y - 63z D. -24x + 8y - 7z

Mathematics

Find an equation for the ellipse described. Graph the equation.Foci at (-7, -4) and (-1, -4); length of major axis is 10

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1

Mathematics

Convert the angle to degrees-minutes-seconds. Round to the nearest whole number of seconds.-99.66°

A. -99°49'36'' B. -99°49'26'' C. -99°39'26'' D. -99°39'36''

Mathematics