Find the sample space for the given experiment: A bag contains four marbles: one each of green, red, blue, and violet. Two marbles are drawn from the bag. Assume that the first marble is not put back in the bag before drawing the second marble.

b = -3

Step-by-step explanation:

f(x)=1/4x²+ bx+ 10

The axis of symmetry is equal to the x-coordinate of the vertex

The vertex is the point (h,k)

The equation of the axis of symmetry is given as

y = a( x - p )²+ q

x - p = x - h

h = x

x = 6, therefore, h = 6

So, we solve the quadratic equation

f(x) - 10= 1/4x²+ bx

f(x) - 10 = 1/4(x² + 4bx)

To be able to properly solve the quadratic equation, we would be using using completing the square method

f(x) - 10 + b² = 1/4(x² + 4bx + 4b²)

f(x) +(b² - 10) = 1/4(x+ 2b²)

f(x) = 1/4(x+ 2b²) - (b² - 10) 1

Remember,

The equation of the axis of symmetry is given as

y = a( x - p )²+ q

x - p = x - h

h = x

If x = 6, therefore, h = 6 also

Since h = 6, we substitute.

x + 2b = (x - 6)

2b = - 6

b = -6/2

b = - 3