Complete the square to determine the minimum or maximum value of the function defined by the expression.

x2 − 10x + 15
a) maximum value at −10
b) minimum value at −10
c) maximum value at −15
d) minimum value at −15

Option B) minimum value at −10

Step-by-step explanation:

we have

This function represent a vertical parabola open upward (because the leading coefficient is positive)

The vertex represent a minimum

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Divide the coefficient of term x by 2

10/2=5

squared the term and add to the right side of equation

Remember to balance the equation by adding the same constants to the other side

rewrite as perfect squares

----> function in vertex form

The vertex of the quadratic function is the point (5,-10)

therefore

The minimum value of the function is -10

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw