Answer: The answer is 
Step-by-step explanation: Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.
Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares. So, in the last row, the fraction of purple shaded square is
And if consider the figure vertically, then there are 3 columns of 4 squares.
Therefore, the final fraction represented by the purple shaded area is
Thus, the correct option is
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Answer:
The of getting an even number in first and an odd number second is 
.
Step-by-step explanation:
Given,
Total number of outcomes = 36
We have to find the probability of rolling an even number first and an odd number second.
Solution,
Firstly we will find out the possible outcomes;
So the total number of outcomes = 9
Now according to the formula of probability, which is;
Now on putting the values, we get;
P(of getting an even number in first and an odd number second)=
Hence The of getting an even number in first and an odd number second is .
As x heads off to positive infinity, f(x) will do the same. This means f(x) grows without bound in the positive x direction.
However, in the other direction, as x goes to negative infinity things are a bit different. Instead of going off to infinity, f(x) will approach y = 0. It will never touch or cross this horizontal line. It will only get closer and closer. Think of it as an electric fence you can't touch.
So there is only one horizontal asymptote and it is the horizontal line y = 0. This is the horizontal line that overlaps the x axis.
Answer:
Examine each term of the polynomial to determine whether it is even, odd, or neither.
- Even = each term is an even function
- Odd = each term is an odd function
- Neither = terms are even and odd terms
Even function → symmetry about the y-axis
Odd function → symmetry about the origin
1) y = x⁴ is an even function, as it has symmetry about the y-axis
y = x² is an even function, as it has symmetry about the y-axis
Therefore, x⁴ + x² is an <u>even polynomial</u>
2) 
is an odd function, as it has symmetry about the origin.
is an odd function, as it has symmetry about the origin.
Therefore, 
is an odd <u>polynomial</u>
**Please see attachments for examples of even and odd functions**
