Answer:
Option C.
Step-by-step explanation:
Note: In the given function the power of x should be 2 instead of 4, otherwise all options are incorrect.
Consider the given function is
If 
, then 
is an even function.
If 
, then is an odd function.
Now, substitute x=-x in the given function.
So, the given function not an odd function. It means it is an even function.
To check whether the given function is odd, we have to determine whether 
is equivalent to 
.
Therefore, the correct option is C.
Answer:
B.the total charge before applying sales tax
Step-by-step explanation:
Answer:
Blue Ballon = 16
Yellow Ballon = 23
Green Ballon = 26
Red Ballon = 32
Total puffs = 1000
23y + 16(2y) + 32y + 26(y/2) = 1000
23y + 32y + 32y + 13y = 1000
100y = 1000
y = 1000/10
y = 10
Therefore, russell
filled 10 yellow balloons.
Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).
(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)
We can now group them.
(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)
Now we simplify
12y² + 9y - 21
Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).
(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)
Simplify, subtract like terms.
4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)
4y³ + 6y² + 7y - 5 is the length of the 4th side.
Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set.
For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.
<em>Polynomials are closed under the same operations as integers. </em>
