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:
1+
________
4
Step-by-step explanation:
Answer: The correct answer is B.
Step-by-step explanation: We are given the cost of restaurant meal of M. Clark is $25.50.
and she has given 20% of the meal's cost as a tip to the waiter.
Step 1: Calculating the amount of tip paid
Total tip paid = $5.1
Step 2: To find the total amount, we add the cost of the meal and the tip paid
Total amount = Cost of the meal + Tip paid
Total amount = $25.50 + $5.10
Total amount paid by Ms. Clark = $30.6
If he has a measuring cup that holds 1/8 and not 1/4 he just has to dip it twice.
Answer:
d. 
Step-by-step explanation:
The given trigonometric equation is;
Recall that;
The cosine function is negative in the second and third quadrant.
