The graph that has an axis of symmetry at x = 3 is f(x) = x2 – 6x – 1.
You can find the axis of symmetry by using the equation to find the x value of the vertex. The x value of the vertex is always the axis of symmetry in a quadratic graph. The equation is below.
x = -b/2a
In this equation, a is the coefficient of x^2 and b is the coefficient of x. If we use the numbers from the last equation in your list, a = 1, b = -6.
x = -b/2a
x = -(-6)/2(1)
x = 6/2
x = 3
Answer: 9/12
Step-by-step explanation:
Answer: figure 1). x = 36 2). x = 123
Explanation:
Figure 1:
Angle x = angle 1
And angle 4 = 4x
Angle 4 + angle 1 = 180
4x + x = 180
5x = 180
x = 36
Figure 2:
Angle 1 = 68 degree
Angle 2 = 55 degree
Find angle 3:
180 - (68 + 55)
= 180 - 123
= 57 degree
But angle 3 = angle 4 = 57 degree
But: angle 4 + x = 180
57 + x = 180
x = 180 - 57
x = 123
Answer:
83 times.
Step-by-step explanation:
n + 3n + 8n = 240
12n = 240
n = 20.
So we have 20 reds in 240 spins
So by proportion the number expected in 1000 spins
= 20 * 1000/240
= 1000/12
= 83 1/3
So its 83 reds.
6x + 12y = 7
12y = -6x + 7
y = -6/12 + 7
y = -1/2 + 7
the slope of the equation is -1/2