Whats the output of x + 6 of 3
1 answer:
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Answer:
x=0.87 or 86.67%
13 prescription claims out of 15 are paid
Step-by-step explanation:
First we organize the data:
prescription claims submitted: 4500
Prescriptions: 3900
The rate of claims paid is calculated using the following formula:
We know that:
Paid = 3900
Total = 4500
So
x=0.87
When solving polynomial equations, first set the equation
equal to zero, then check for a Greatest Common Factor.
Since there is no greatest common factor, this will make life a
little bit more difficult because we will have to factor the trinomial.
First, find all possible factors for constant term.
I have listed these in red below.
Make sure to reverse the factors since in each binomial,
the first term is different so we need to reverse the factors.
The factors of 5x² will just be 5x and z.
After finding factors for the constant and the leading
coefficient for your trinomial, we can eliminate some factors.
If you have an odd coefficient on the middle term,
you can eliminate any pairs of even factors.
So the group I crossed out in purple below will be eliminated.
Another strategy is to use factors a little closer together.
So I would go with the 4 and 3 group.
Surely enough, our trinomial does factor with the 4 and 3.
Now set the factored trinomial equal to 0.
Then use zero product property and you have your answer.
Answer:
Step-by-step explanation:
To start, lets form our polynomial factors from our zeroes.
x = -2
x + 2 = 0
x = 5
x - 5 = 0
Now lets put these into factored form by moving them into parenthesis and multiplying them with each other!
(x+2)(x-5)
We can start moving them out! I am going to use FOIL, but you could also use distributive or any other method/property.
x · x = x²
x · -5 = -5x
x · 2 = 2x
2 · 5 = 10
Now lets put our terms into our polynomial function, based on the order of the powers.
We are done! Hope this helps!
X = 18°
cos 54° = sin 36°
cos 3 x = sin 2 x
cos ( 2 x + x ) = sin 2 x
cos 2 x cos x - sin 2 x sin x = 2 sin x cos x
( cos² x - sin² x ) cos x - 2 sin² x cos x = 2 sin x cos x / : cos x
( divide both sides by cos x )
cos² x - sin² x - 2 sin² x = 2 sin x
1 - sin² x - 3 sin² x - 2 sin x = 0
- 4 sin² x - 2 sin x + 1 = 0 substitution: u = sin x
- 4 u² - 2 u + 1 = 0
u = 2 -√20 / - 4 sin 18° = (√ 5 - 1 )/4
cos 18° = √( 1² - ((√5 - 1)/4)²
cos 18° = (10+2√5)^(1/2) / 4
cos 54° = sin 36°
cos 3 x = sin 2 x
cos ( 2 x + x ) = sin 2 x
cos 2 x cos x - sin 2 x sin x = 2 sin x cos x
( cos² x - sin² x ) cos x - 2 sin² x cos x = 2 sin x cos x / : cos x
( divide both sides by cos x )
cos² x - sin² x - 2 sin² x = 2 sin x
1 - sin² x - 3 sin² x - 2 sin x = 0
- 4 sin² x - 2 sin x + 1 = 0 substitution: u = sin x
- 4 u² - 2 u + 1 = 0
u = 2 -√20 / - 4 sin 18° = (√ 5 - 1 )/4
cos 18° = √( 1² - ((√5 - 1)/4)²
cos 18° = (10+2√5)^(1/2) / 4