Answer:
SUMMARY:
→ Not a Polynomial
→ A Polynomial
→ A Polynomial
→ Not a Polynomial
→ A Polynomial
→ Not a Polynomial
Step-by-step explanation:
The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form
.
Here:
= non-negative integer
= is a real number (also the the coefficient of the term).
Lets check whether the Algebraic Expression are polynomials or not.
Given the expression

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains
, so it is not a polynomial.
Also it contains the term
which can be written as
, meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression
is not a polynomial.
Given the expression

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.
Given the expression

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!
Given the expression

is not a polynomial because algebraic expression contains a radical in it.
Given the expression

a polynomial with a degree 3. As it does not violate any condition as mentioned above.
Given the expression


Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.
SUMMARY:
→ Not a Polynomial
→ A Polynomial
→ A Polynomial
→ Not a Polynomial
→ A Polynomial
→ Not a Polynomial
Answer:
58.5
Step-by-step explanation:
This expression should be simplified using order of operations. According to order of operations or PEMDAS, complete any numbers in parenthesis then any exponents, multiplication, division, additions and subtraction moving left to right through each operation.
Begin with Parenthesis.
(7+3-4*9) - Multiply first
(7+3-36) - Then add/subtract left to right
10 - 36 = -26
Replace -26 where the parenthesis were in the original expression.
9/4 (-26)
234/4
58.5
Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)
Answer:
x = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° =
, then
sin45° =
=
=
( cross- multiply )
x ×
= 9
( divide both sides by
)
x = 9
Answer:
The common for the second question is 30