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What is the maximum value of the function y equals -6x2-12x-1?
y = -6x2 - 12x - 1We recognize this as the equation of a parabola opening downward, but we don't need to know that in order to answer the question.At the extremes of a function (local max or min), the first derivative of the function = zero.The first derivative of the given function with respect to 'x' is dy/dx = -12x -12Set -12x - 12 = 0.-x - 1 = 0x = -1y = -6x2 - 12x - 1 = -6(1) - 12(-1) - 1 = -6 + 12 - 1 = 5
What is factorization of 6x2-12x?
6x2 - 12x [take out what both terms have in common] 6x(x - 2) [if you multiply 6x by both terms in the parenthesis you will get your original answer]
What factor of 6x2 plus x1 - 11 in zeros of polynomial function?
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-1 plus or minus the square root of 265) divided by 12 x = 1.2732350496749756 x = -1.439901716341642
What are the common factors of 5x plus 10 and 6x2 plus 12x?
5x + 10 = 5(x+2) 6x2 + 12x = 6x(x+2) The only common factor is x+2
What is the factorization of 3x3 plus 6x2 - 12x?
3x(x2 + 2x - 4)
Identify the maximum value of the function y equals -6x2-12x-1?
y = - 6x2 - 12x - 1 A second degree equation graphs as a parabola, and has only one max or min. At that point, the first derivative y' = 0. dy/dx = - 12x - 12 = 0 - x - 1 = 0 ==> x = - 1 At that point, y = - 6( 1 ) - 12( - 1 ) - 1 = - 6 + 12 - 1 = 5. The max value of the function is 5, and occurs when x = -1.
2x4 plus 6x2-10 how do you put this in a quadratic form?
10
What is 3x plus 1 times 2x plus 4?
(3x+1)(2x+4) = 6x2+4+2x+12x = 6x2+14x+4
How do you factor 6x2 plus 12x plus 4?
2(3x^2 + 6x + 2)
How do you solve 6x3-6x2-12x equals 0?
6*3-6*2-12x v v 18 - 12-12x v v 6-24x -6 -6 something like that..
Factor out 6x2 plus 17x plus 40?
This doesn't factor neatly. Applying the quadratic equation, we find two imaginary solutions: (-17 plus or minus the square root of -671) divided by 12x = -1.4166 + 2.158638974498103ix = -1.4166 - 2.158638974498103iwhere i is the square root of negative one.
How do you solve 6x2 plus 12x equals 0?
2x(3x+6) = 0 x = 0 or x = -2
