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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 + 6X +3) = 6X^2 + 18X + 9 This is the quadratic equation...

# Sally went to the market to buy some fruit and returned with apples and plums. (answer)

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 = \$0.5 Cost of each plum = 35 cents = \$0.35 Total...

# .what is the length of three sides of the triangle (answer)

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 side...

# The length of a rectangle is twice its width. The perimeter is 60ft.. Find the area. Explain in complete sentences the steps necessary to find the area. (answer)

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) = 2*L + L = 3L L = 60ft/3 = 20ft    W=L/2=20ft/2=10ft Verify...

# solving inequalities in algebra (answer)

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