Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
Answer:
D
Step-by-step explanation:
see 0.12 is equal to 0.120
now its easy to tell that 0.124>0.12 because 4 is greater than 0
HOPE THIS HELPED !!!! :D
111/1000 or 11.1%. Any questions other than that?
(A) The probability of choosing a bottle of diet soda is 14/27, since there are 27 bottles in total and 14 of them are diet soda.
(B) The probability of choosing a bottle of regular soda is 5/27, since there are 27 bottles in total and 5 of them are regular soda.
(C) The probability of choosing a bottle of water is 8/27, since there are 27 bottles in total and 8 of them are bottles of water.
Hope that helped.
2(1/2)-1(4/7)
(5/2)-(11/7) multiply the big 2 with the two on the bottom and add it with one and put it on top
same thing but with the whole number with the seven and adding it with whatever is on top
(35/14)-(22/14)
multiply (5/2) with (7/7) to have the same denominator and (11/7) with (2/2)
(13/14)
