Rewrite the quadratic equation in the form y = a(x − h)2 + k.

y=5x^2-30x+95

y = 5(x - 3)² + 50

Step-by-step explanation:

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, factor out 5 from 5x² - 30x

y = 5(x² - 6x) + 95

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = 5(x² + 2(- 3)x + 9 - 9) + 95

  = 5(x - 3)² - 45 + 95

  = 5(x - 3)² + 50

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

me

step-by-step explanation: