Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are 
and 
Here the given equation is 
= 0
a = 2
b = -4
c = -1
If the roots are 
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.
Given:
Current revenue = $6000
<span>R(f)= -100f^2 + 400f + 6000
where f is a whole number of $5 fee increases
We are told to find f, when R(f) </span><span>< 6000
Since </span>R(f)= -100f^2+400f+6000
R(f) < 6000 ⇒ -100f^2+400f+6000 < 6000
Subtract 6000 from both sides
-100f^2 + 400f + 6000 - 6000 < 6000 - 6000
-100f^2 + 400f < 0
⇒ 400f - 100f^2 < 0
Divide the equation by 100
400f/100 - 100f^2/100 < 0/100
4f - f^2 < 0
Add f^2 to both sides of the equation
4f - f^2 + f^2 < 0 + f^2
4f < f^2
Divide both sides by f
4f/f < (f^2)/f
4 < f
⇒ f > 4
⇒ f ≥ 5
Therefore, <span> for 5 or more numbers of $5 fee increases, the revenue from fees will actually be less than its current value.</span>
8 times 5 equals 40 and 40 divided by 10 equals 4 sir Marni didn’t get anything right
The question that you can ask yourself while reading in order to help you identify the main ideas is, what is the most important point the author wants me to understand. The correct answer would be option C. The main idea is considered as the most significant idea in a story or a paragraph. This sums up all of the other ideas that are being included in the story.
<span>What percent of 600 is 12?
In order to get what percent of 600 is 12, we need to formulate the equation.
12 = ___ * 600
12 = 600P
P = 12 / 600
P = 0.02
Percentage must be in hundred. So multiply 0.02 by 100
= 0.02 * 100
= 2%
So, 2% of 600 is equal to 12.</span>
