As you said, (x,3) = (2,3)
So x = 2
Thank you very much.
Answer:
a) x = {-2, 1, 3} are the zeros
b) y = (x +2)(x -1)(x -3)
c) y = x^3 -2x^2 -5x +6
Step-by-step explanation:
a) The zeros are the values of x where the graph crosses y=0. Those values are x = -2, x = 1, x = 3.
__
b) If "a" is a zero, then (x-a) is a factor. The factored polynomial is ...
y = (x +2)(x -1)(x -3)
__
c) This can be multiplied out using the distributive property several times.
y = (x +2)(x(x -3) -1(x -3))
= (x +2)(x^2 -3x -x +3)
= (x +2)(x^2 -4x +3)
= x(x^2 -4x +3) +2(x^2 -4x +3)
= x^3 -4x^2 +3x +2x^2 -8x +6
y = x^3 -2x^2 -5x +6
_____
The supplied graph apparently scales this vertically by a factor of 1/2, since its y-intercept is at (0, 3), not (0, 6).
Answer:
5
Step-by-step explanation:
In a 30 60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.
Given two points on the line known as (x1,y1) and (x2,y2): slope = y2y1 x2x1 Page 2 2 Example 1 Find the slope of the line that passes through (1,2) and (3,4). Use the slope equation: slope = y2y1 x2x1 Page 3 3 Example 2 Find the slope of the line that passes through (1,2) and (4,1). That's the basic formula but need
More info for
Your question
Answer:
x=1
Explain:
y=2x^2−4x+1
dy/dx=4x-4
The line of symmetry will be where the curve turns (due to the nature of the
x^2 graph.
This is also when the gradient of the curve is 0.
Therefore, let
dy/dx=0
This forms an equation such that:
4x−4=0
solve for x,
x=1
and line of symmetry falls on the line
x=1