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:
47/5
Step-by-step explanation:
First step: multiply the denominator (bottom of the fraction) of the fraction by the whole number.
5*9 = 45
Second Step: add the numerator
45 + 2 = 47
Third step: Put the result over the denominator.
47/5
Answer:
P = 0.332
Step-by-step explanation:
The probability of having the disease is 0.08
The probability that the test predicts with accuracy is 0.7.
We need to find the probability that the test positive for the disease.
Several cases may occur.
Case 1.
You have the disease and the test predicts it accurately
Case 2
You do not have the disease and the test predicts that you have it
Then the probability that the test predicts that you have the disease is the union of both probabilities P1 and P2
Answer:
the paralell slope is -4. The slope intercept equation is -4x-4
Step-by-step explanation:
hope this helps!
