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.
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.
Solve by factoring: = (2k - 1)(k + 4) = 2k2 + -k +8k -4 = 2k2 +7k - 4
x + x + 2 + x = 144 3x + 2 = 144 3x = 142 x = 47 1/3
789,000,000,000,000 789 Trillion
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 =...
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
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...
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...
Since we are gine a point and the slope, start with the point slope form and slove for y to get the slope intercept form (Y - Y1) = m (X - X1) Y - 1 = -9 (X -0) Y - 1 = -9X Y = -9X + 1 This method can be used anytime you have a point and the slope to fine the slope intercept...
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X-5 (Y-6Z)2 / X4Y-1Z-2 Using (Xn)m = Xnm = X-5 Y-12Z2 / X4Y-1Z-2 Using X-n = 1 / Xn = Z4 / X9Y11
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...
Since you are given 2 points of a line, the Point Slope form of a line can be used to solve the problem. Y - Y1 = m (X - X1) , m = the slope and (X1,Y1) is one of the given points Use the 2 points to find the slope m = (change in Y) / (change in X) = (6-4)/(6-2) = 2/4 =1/2 Y...
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...
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...
(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...
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
FV = PV(1+r)n Where PV = Present Value (in this case PV = $400 FV = Future Value (The value we are solving for) r = Rate (In this case r = 6.5%. We must convert this to a decimal by diving by 100. r = 0.065) n = Number of Periods (In ths case n = 3) FV = $400 (1 +...