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There is a total of 7! possible ways in which the seven children can be seated on the bench. The number of favourable arrangements when four boys are seated on one side and three girls on the other side i...

1 ) Identify the information given in the question:Total number of cupcakes bought: 125Number bought by Emma is 50% more than Robin: mathematically we write that was Emma = 1.5 Robin as 50% = 0.5 in decim...

Apply FOIL (First, outside, inside, last): (x + 4)(x - 5) = x² - 5x + 4x -20 = x² - x -20 x(x + 4)(x - 5) = x( x² - x -20 ) = x³ - x²- 20x

To see if (0,8) lies on the line y, substitute 0 (the x coordinate) into y = 4x+9 so y=4(0)+9 y=4(0)+9 therefore y= 0+9 = 9since the output (9) is not the same as the respective coordinate (8), (0,8) d...

The question asks for the roots, this simply means the numbers that could replace x in the equation and the result = 0. There are two ways too do this, firstly either using the Quadratic formula, or my fa...