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What is the x-coordinate of the of the vertex of y equals -3x2 plus 12x-5?
You can find the x-coordinate of it's vertex by taking it's derivative and solving for zero: y = -3x2 + 12x - 5 y' = -6x + 12 0 = -6x + 12 6x = 12 x = 2 Now that we have it's x coordinate, we can plug it back into the original equation to find it's y coordinate: y = -3x2 + 12x - 5 y = -3(2)2 + 12(2) + 5 y = -12 + 24 + 5 y = 17 So the vertex of the parabola y = -3x2 + 12x - 5 occurs at the point (2, 17).
How do you find the x- coordinates of the turning points of y equals x3-2x2-5x plus 6?
Differentiate the function with respect to x: d/dx (x3 - 2x2 - 5x + 6) = 3x2 - 4x - 5 Set this derivative = 0 and solve. 3x2 - 4x - 5 = 0 implies that x = -0.7863 or 2.1196 (to 4 dp)
Is 3x - 2 equals -3x2 a quadratic equation?
Yes. (Assuming that -3x2 is the best representation of 3x2 that this browser will allow.)
What does 6-y plus 5y-6y?
6 - y + 5y - 6y = 0 6 = y -5y + 6y 6 = -4y + 6y 6 = 2y 6/2 = y 3 = y
How do you graph y -6?
y = -6 is a horizontal line that cuts the y-axis at -6.
Factor x2y-3x2-2y plus 6?
(x2 - 2)(y - 3)
What is the derivative of x3-8?
Let y = x3 - 8, then y' = 3x2 + 0 = 3x2.
What is the range of the equation y 3x2 - 6?
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) ).
What is the inverse of 3X2 plus X?
y=3(2+x) y= 6+3x Switch x and y x = 6+3y solve for y x-6 = 3y 3y = x-6 y = (x-6)/3 f^-1(x) = (x-6)/3 is the inverse function.
3x2 - 12?
-6to work it out: remember BIDMASso 3x2=6! then 6-12=-6
When you completely factor 3x2 y what do you get?
3 * x * x * y
3x2?
6
3xsquare-2ysquare equals 9xsquare plus 4ysquare-12xy how do you reach this answer?
3x2 - 2y2 = 9x2 + 4y2 - 12xy (subtract 3x2 and add 2y2 to both sides) 0 = 9x2 -3x2 + 4y2 + 2y2 - 12xy 0 = 6x2 + 6y2 - 12xy (divide by 6 to both sides) 0 = x2 + y2 - 12xy or x2 - 2xy + y2 = 0 (x - y)(x - y) = 0 x - y = 0 x = y
2x3 plus 3x5- 3x2 equals?
(2x3)+(3x5)-(3x2)= 2x3=6 3x5=15 3x2=6 So..... 6x25-6= 6x25=150 150+6=156
What is 3x2?
6
WHAT DOES 3X2 plus 38 equals?
3x2=6+38=44
What operation should be done first 6 3x2?
3x2 if it is in parentheses
