Which algebraic expression is a polynomial? 4x2 – 3x + StartFraction 2 Over x EndFraction –6x3 + x2 – StartRoot 5 EndRoot 8x2 +
2 answers:
Answer:
B.
Step-by-step explanation:
Polynomial of one variable:It is that expression in which power of each variable in the given should be a whole number.The highest power of variable is called degree of polynomial.
Power of variable in given terms cannot be negative or fraction.
A.
It can be write as
By definition of polynomial of one variable , it is not a polynomial.
B.
By definition of polynomial of one variable , it is a polynomial.
C.
By definition of polynomial of one variable, it is not a polynomial.
D.
By definition of polynomial of one variable,it is not a polynomial.
Hence, option B is true.
You might be interested in
The answer is: No, because we also need to know the type of proportionality
In mathematics, we talk about proportionality when two variables are related and this relationship is that there is a constant ratio between them. There are two types of proportionality.
1. Direct Proportionality:
If there are two variables x and y, we can write the relationship between them as follows:
So, by substituting the point in this equation we have that the constant of proportionality is:
2. Inverse Proportionality:
In this case, the relationship is:
So, the constant of proportionality is:
As you can see, we have found two different values of the constant of proportionality. So, it is necessary to know the type of proportionality.
The answer is: The diameter is 4 centimeters.
The explanation is shown below:
1. The volume of the cylinder is:
Where is the radius (
) and
is the height (
).
Then:
2. The total volume of the 12 spheres is:
3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:
4. Now, you must solve for the radius:
5. The diameter is: