Express as a single logarithm.3log6x + 5log6(x - 6)

A. log6x3(x - 6)5
B. 15 log6x(x - 6)
C. log6x(x - 6)
D. log6x(x - 6)15


Answer: A

Mathematics

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Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.2x3 + 2x2 - 40x

A. 2x(x - 4)(x + 5) B. 2x(x + 4)(x - 5) C. (x - 4)(2x2 + 10) D. (2x2 + 8x)(x - 5)

Mathematics

Write the number in expanded form.609

A. (6 × 102) + (0 × 101) + (9 × 100) B. (6 × 101) + (0 × 102) + (9 × 103) C. (6 × 103) + (0 × 102) + (9 × 101) D. (6 × 100) + (0 × 101) + (9 × 102)

Mathematics

Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.x2 + 11xy + 12y2 + 4y + 23 = 0

A. x = (2x' + y') and y = (x' - 2y')
B. x = (x' + 2y') and y = (2x' - y')
C. x = (2x' - y') and y = (x' + 2y')
D. x = (x' - 2y') and y = (2x' + y')

Mathematics

For the food described, find the percent of total calories from fat. If necessary, round to the nearest tenth of a percent.Nutrition FactsServing Size 12 crackers (30g)Servings Per Container About 10Amount Per ServingCalories 115Calories from Fat 35   % Daily ValueTotal Fat 4g 6%Saturated Fat 0.5g  3%Polyunsaturated Fat 0g  Monounsaturated Fat 1.5gCholesterol 0mg   0%Sodium  220mg   9%  Total Carbohydrate 21g   7%Dietary Fiber 2g  7%Sugars 4gProtein 2gVitamin A 0% Vitamin C 0%Calcium 5%  Iron 2%Phosphorus 9

A. 328.6% B. 3% C. 30.4% D. 33.5%

Mathematics