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By Patrangenaru V.

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1. First find g ( − x ) . 3. g ( x = ) 2x 2 − x + 4 g ( − x )= 2( − x )2 − ( − x ) + 4 2. Replace x with − x . g ( − x )= 2 x 2 + x + 4 − g(= x) − (2 x 2 − x + 4) 3. Since g ( x ) does not equal g ( − x ) , g(x) is not an even function. 4. Try − g( x ) . − g( = x) − 2x 2 + x − 4 5. Since − g( x ) does not equal g ( − x ) , g ( x ) is not an odd function. g ( x ) is neither even nor odd. MATHEMATICS 29 TEACHER CERTIFICATION STUDY GUIDE Systems of quadratic equations can be solved by graphing but this method is sometimes inconclusive depending on the accuracy of the graphs and can also be cumbersome.

Use the appropriate formula for each shape and find the sum of all areas. Area 1 = LW = (5)(7) = 35 units Area 2 = LW = (12)(8) 2 = 96 units 2 Total area = Area 1 + Area 2 + Area 3 = 35 + 96 + 24 = 155 units MATHEMATICS 2 25 Area 3 = ½bh = ½(6)(8) = 24 units 2 TEACHER CERTIFICATION STUDY GUIDE It is necessary to be familiar with the metric and customary system in order to estimate measurements. 1 inches Estimate the measurement of the following items: The length of an adult cow = meters The thickness of a compact disc = millimeters Your height = meters length of your nose = centimeters weight of your math textbook = kilograms weight of an automobile = kilograms weight of an aspirin = grams MATHEMATICS 26 TEACHER CERTIFICATION STUDY GUIDE SUBAREA III.

To find the value of a variable, divide the value of the top determinant by the value of the bottom determinant. 25 x= 1 2  0 3 2 3  2 3  3 2 3 5  solve each determinant using the method shown below 3  2 5  Multiply the diagonals from top left to bottom right, and add these diagonals together. 05• )(3• ) MATHEMATICS 41 TEACHER CERTIFICATION STUDY GUIDE Then multiply the diagonals from bottom left to top right, and add these diagonals together. 59 Do same multiplying and subtraction procedure for the bottom determinant to get −1 as an answer.

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### 5 dimensional strictly locally homogeneous Riemannian manifolds by Patrangenaru V.

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