Three possible English expressions for (12y) are: "twelve times y," "the product of twelve and y," and "twelve multiplied by y." Each expression conveys the same mathematical relationship using different phrasing.
To simplify the expression ( 4(3y - 1) - 3(2y)4 ), first distribute the terms: ( 4(3y) - 4(1) - 3(2y)4 = 12y - 4 - 24y ). Now, combine like terms: ( 12y - 24y - 4 = -12y - 4 ). Thus, the simplified expression is ( -12y - 4 ).
20x+12y = 2012 12y = -20x+2012 y = -5/3x+503/3 Therefore the perpendicular slope is the positive reciprocal -5/3 which is 3/5
It is: 3(5x-4y)
-8x + 12y = 24 Algebraically rearrange 12y = 8x + 24 Reduce by a factor of '4' 3y = 2x + 6 Divide both sides by '3' y = (2/3)x + 2 Hence it is a straight line of slope/gradient ' 2/3' and a y-intersect of '2'.
y^2 - 12y + 36 = 9 subtract 9 from each side y^2 - 12y + 27 = 0 easy factoring by inspection (y - 3)(y - 9) y = 3 y = 9
12Y + 9 all I can see to factor out is 3 3(4Y + 3)
9n + 12y = 3(3n + 4y)
12y+3=9y-15 3y=-18 y=-6
To simplify the expression ( 4(3y - 1) - 3(2y)4 ), first distribute the terms: ( 4(3y) - 4(1) - 3(2y)4 = 12y - 4 - 24y ). Now, combine like terms: ( 12y - 24y - 4 = -12y - 4 ). Thus, the simplified expression is ( -12y - 4 ).
20x+12y = 2012 12y = -20x+2012 y = -5/3x+503/3 Therefore the perpendicular slope is the positive reciprocal -5/3 which is 3/5
It is: 3(5x-4y)
-8x + 12y = 24 Algebraically rearrange 12y = 8x + 24 Reduce by a factor of '4' 3y = 2x + 6 Divide both sides by '3' y = (2/3)x + 2 Hence it is a straight line of slope/gradient ' 2/3' and a y-intersect of '2'.
y^2 - 12y + 36 = 9 subtract 9 from each side y^2 - 12y + 27 = 0 easy factoring by inspection (y - 3)(y - 9) y = 3 y = 9
I assume the expression is y2+12y+27 as I cannot see the operation symbols between them (editor problem?). If you agree with this then y2 + 12y + 27 = y2 + 9y + 3y + 27 = y(y + 9) + 3(y + 9) = (y + 3)(y + 9)
2 + 5 * 3 is one possible answer.
(x + 15)(x - 3)
4y + 3 >= -94y >= -9 + -34y >= -12y >= -12/4y >= -3