Answer:
work is attached and shown
Answer: i think the answer is -3
Step-by-step explanation:
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
10 marbles, 15 marbles, 25 marbles
Answer:
1/4 - (2/5 + (1/3 - (3 - 7/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 - (6/2 - 7/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 - (-1/2) - 1/4) - 2/15)
= 1/4 - (2/5 + (1/3 + 1/2 - 1/4) - 2/15)
= 1/4 - (2/5 + (4/12 + 6/12 - 3/12) - 2/15)
= 1/4 - (2/5 + (7/12) - 2/15)
= 1/4 - (2/5 + 7/12 - 2/15)
= 1/4 - (24/60 + 35/60 - 8/60)
= 1/4 - (51/60)
= 15/60 - 51/60
= -36/60
= -3/5
