The function ( y = -3x^2 - 4 ) is a downward-opening parabola. The vertex, which represents the maximum point, occurs at ( x = 0 ), yielding a maximum value of ( y = -4 ). As ( x ) moves away from zero in either direction, ( y ) decreases without bound. Therefore, the range of the function is ( (-\infty, -4] ).
The equation ( y = 3x^2 - 6 ) is a quadratic function that opens upwards. The vertex of this parabola is at the point ( (0, -6) ), which is the minimum value of ( y ). Therefore, the range of the function is ( y \geq -6 ), or in interval notation, ( [-6, \infty) ).
3x2-7x+4 = (3x-4)(x-1) when factored
It is a quadratic expression and is (3x+2)(x-2) when factored
Area of rectangle: (x+5)(3x-7) = 3x2+8x-35
The following is the answer:
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.
Yes. (Assuming that -3x2 is the best representation of 3x2 that this browser will allow.)
If you mean 3x2+4x-2 = 0 then it can be solved by means of the quadratic equation formulla
Yes.
7
It is x = +/- 2 depending on whether the second term in the equation is -12x or +12x.
3x2-7x+4 = (3x-4)(x-1) when factored
(3x + 1)(x - 4)
It is a quadratic expression and is (3x+2)(x-2) when factored
The discriminant is -32.
Area of rectangle: (x+5)(3x-7) = 3x2+8x-35
The following is the answer: