Answer:
The second option, x^4 - 8x^2 - 16.
Step-by-step explanation:
Polynomials in standard form start with the highest degree, from greatest to least exponent. After all terms with exponents are in order, alphabetical variables are next. In this case there's only x. Last are constant terms, which are by itself, with no variable next to it/an exponent to the right of it.
x^4 - 8x^2 - 16 is in standard form because it follows the criteria above. 4 is the highest degree since it's the highest exponent in the polynomial expression, which is why it starts off with x^4. Other terms with lesser exponents are next. In this case, it's 8x^2 with the less exponent of 2. Finally, it ends with your constant term, -16.
It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°
<h3>How to find the sum of angles of a polygon?</h3>
The adjoining star contains a regular pentagon. Thus;
Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°
Thus;
Each interior angle of the pentagon = 540/5 = 108°
Thus, each exterior angle = 180 - 108 = 72°
Then measure of the angle at the vertex = 180 - 72 - 72 = 36°
Thus, each angle at the vertices of the star have an angle of 36°.
There are 5 star vertices and so;
Sum of angles of 5 star vertices = 5 * 36 = 180°
Read more about Angles in a Polygon at; brainly.com/question/1592456
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Answer:
Step-by-step explanation:
Previous concepts
The Capital Asset Pricing Model (CAPM) is a concept that "analyze the relationship between risk of any type and the definition of expected return about the assets".
By definition the Market risk premium is defined as "the difference between the average return and the return on a risk-free".
The value of 
represent an adimensional number that allows to measure if we create more/low risk on any investment.
Solution to the problem
Assuming that we can use the capital asset pricing model we can calculate the market risk premium (MRP) with the following formula:
Where:
ER= Expected return = 12.25 %
RFR= Risk free rate= 5.00%
So then if we replace we got:
-10x<40
divide both sides with -10
x>-4
sign changes since it's divided with negative number
Answer:
Sin = -5/13
Cos = 12/13
Tan = -5/12
Step-by-step explanation:
