Let us add consecutive odd numbers and try to find any relationship.
1. 1
2. 1+3 = 4 ( square of 2 i.e )
3. 1+3+5 = 9 ( )
4. 1+3+5+7 = 16 ( )
5. 1+3+5+7+9 = 25 ( )
6. 1+3+5+7+9+11 = 36 ( )
7. 1+3+5+7+9+11+13 = 49 ( )
If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to . The sum of the numbers in the fifth line is equal to
.
Given :
Mr. Rivera pours 2 cups of blue paint into a jar for each art station.
1 cup = 8 ounces.
1 gallon = 128 ounces.
To Find :
How many jars can he fill with 1 gallon of blue paint.
Solution :
Since, a jar is filled with 2 cups.
1 jar = 2 × 8 = 16 ounces.
So, number of jars required to fill 1 gallon of blue paint is :
Therefore, 8 jars are required to fill 1 gallon of blue paint.
Hence, this is the required solution.
Answer:
Option C is correct.
The y-intercept of the graphed function is;
Explanation:
To find the y-intercept of the graphed function:
The point where the graph crosses the y-axis is call y-intercept.
You can also find the y-intercept by looking at the given graph and seeing which point crosses the y-axis also this point will always have an x-coordinate of 0.
End behavior of a polynomial function is the behavior of the graph of function as x approaches or
Also, the degree and the leading coefficient of a polynomial function determine the end behavior of the graphed function.
therefore, the y-intercept of the graphed function is; (0, -9)