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That fact that there are only 2 term in 27n2-147 may suggest it is a perfect square. And after dividing by 3 it is! 3(9n2-49). Factor each quadratic and cancel and you will find the answer.

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2k2+7k-4-0 (answer)

Solve by factoring:  = (2k - 1)(k + 4) = 2k2 + -k +8k -4 = 2k2 +7k - 4

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X+x+2+x=144 (answer)

x + x + 2 + x = 144 3x + 2 = 144 3x = 142 x = 47 1/3

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Assuming the pole was perpendicular to the ground.  When the upper part fell it form a right triangle with the ground as one side. The ground between the two parts = 10 m Let the part remaining = X The part that fell = 17 - X 102 + X2 = (17 - X)2 100 + X2 =...

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Let t = the time it takes for Nadine to catch up Distance Tyler goes in time t is D = 2 +2t Distance Nadine goes in time t is D = 6t Since the distance each goes is the same 6t = 2 + 2t 4t = 2 t = ½ hour

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If a polynomial function, written in descending order of the exponents, has integer coefficients, then any rational zero must be of the form +- p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. The constant term is 36 The leading coefficient...

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This equation in it the slope intercept form. Y = mX + b where m is the slope and b is the y intercept. Put a point on the graph at the Y intercept (0, 5) The slope, m = (change in y) / (change in X) in this case 1/2 From the drqwn point move up 1 and right 2 and place a second...

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slope = (change in y) / (change in x) In this case... the change in y = -1 the change in x = 5 for the y axis minus is down and plus is up for the x axis minus is left and plus is right so place one point anywhere on the graph and then go down 1 and right 5 and place a second point on...

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Find the equation of the line: Since we have 2 points, we will use the point slope form. Points (1999, 6170) and (1992, 4280) slope m = change in y / change in x = (6170-4280) / (1999-1992) = 1890/7 = 270 Therefore the equation of the line is (Y - Y1) = m (X - X1) (Y...

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Example: 3X2 + 5X +3 (3X + 2) (X + 1) Sometimes the coefficient on the squared term can have more than one way to be factored. For example 8 can be 1*8 or 2*4 Consider 8X2 + 11X + 3 = (8X + 3)(X + 1) and 8X2 + 10X + 3 = (4X + 3)(2X...

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(b+8)(b+2) (answer)

(b + 8 ) (b + 2) Use the FOIL method - First, Outside, Inside, Last (a + b) (c + d) = ac + ad + bc + bd ac is the first term of each ad is the outside term of each bc is the inside term of each bd is the last term of each For this case (b...

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10x-(x-5)=23 removing the parenthesis gives 10x-x+5 = 23   (hint - the minus sign if front of the parenthesis * -5 = +5) Combining like terms gives 9x + 5 = 23 Subtracting 5 from both sides gives 9x = 18 Dividing both side by 9 gives x = 2