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.
Answers by Jim H.
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 trillion written as a integer? (answer)
789,000,000,000,000 789 Trillion
Geometry problem involving triangles (answer)
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 = 289 - 34X + X2 100...
FInding Per Hour: Solving (answer)
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 is 4 The...
sketch a graph of y=f(x) (answer)
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 point...
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...
what is exponentiation (answer)
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
how do you graph a -1/5 slope (answer)
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 - Y1...
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 - 6170)...
how to factor a trinomial (answer)
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 + 1)
(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 + 8 ) (b + 2) = b2 + 2b +...
how do i do 10x-(x-5)=23 (answer)
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
Angie borrowed $400 from her parents at 6.5% simple interest for 3 years. What is the total amount Angie must repay? (answer)
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 + 0.065)3...