Answer:
f(x) = (x -3)^2 - 1
Step-by-step explanation:
f(x) = x^2 - 6x + 8
a = 1, b = -6 and c = 8
So we are finding half of the b equation (ignore the negative sign)
Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side
(x) = (x^2 - 6x + 9) + (8 - 9)
You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method
(x^2 - 6x + 9)
square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign
(x -3)^2
Don't forget the rest of the equation from before
(x -3)^2 + (8 - 9)
(x -3)^2 - 1
So the equation is f(x) = (x -3)^2 - 1
Answer:
$5
Step-by-step explanation:
(5/6)*24=20
20-15=5
Answer:
The answer to your question is k = 
Step-by-step explanation:
Equation
5 - vk = k
Process
1.- Add vk in both sides
5 - vk + vk = k + vk
2.- Simplification
5 = k + vk
3.- Factor k (like terms)
5 = k(1 + v)
4.- Divide both sides by "1 + v"
5 / (1 + v) = k(1 + v) / (1 + v)
5.- Simplify
5 / (1 + v) = K
Given :- 50% of all voters are democrats.
Probability that randomly selected voter will be a democrat = 0.50.
Independent event Property :- If two events A and B are independent on each other then P(A and B) = P(A) * P(B).
In this question, Vote of one person is independent on another person. Every individual's vote preference is independent.
The probability that they are both democrats
= P( first is democrat AND second is also a democrat)
=P(first is democrat) * P(second is also a democrat)
= 0.50 * 0.50 (Using above property of independent events)
= 0.25
Answer :- If two voters are randomly selected for a survey, Then the probability that they are both democrats is 0.25.
