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3(2X^2 + 6X +3) = 6X^2 + 18X + 9     This is the quadratic equation  aX^2 + bX + C   Where X is the unknown variable to be resolved, and  a,b,c are constants   Soluttion:   X 1,2   3(2X^2...

Set the following: A = number of apples  Sally brought home    P = number of plums Sally brought home Sally returned home with two times the number of plums than apples. So:  P = 2A      Cost of each apple = 50 cents...

We need to find the length of each side of a triangle based on given ratio between the sides and the total length (perimeter) of the triangle given in ft. We can define a triangle ABC with 3 sides a b c.  Let side a be the shortest side. (a = shortest side) Let side b be the middle...

Set the following: Length = L    Width = W The length is twice the width:    L = 2*W     or:  W = L/2 Perimeter: P = 60ft = 2*L + 2*W Substituting L for W in the perimeter equation gives: P = 60ft = 2*L + 2*(L/2)...

5x-3 < 7 5x < 7+3 5x < 10 x < 2   2-x < x+6 -x - x < 6-2 -2x < 4 multiplying both sides of the equation by -1 gives: 2x < -4 x < -2