Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
Answer:
C
Step-by-step explanation:
150 times 7 divided by 35
Answer:
Step-by-step explanation:
First of all, I drawed this graph and uploaded it for you...
We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).
Let's put these points in the algebreac expression of line to find the correct equation:
-5 = a. (-1) + b
-1 = a.(1) + b
solving this system of equation by elimination, we find 2b = -6 and b = -3.
Then, -5 = -a + (-3)
-a = -5 + 3
a = 2
Finally, our line equation is y = 2x - 3
The slope also is represented by a. So, the slope is 2.
Y = -2x is an example of a graph that has a slope of -2.
The tennis wall volley test has two 30-second trials, and a teacher is interested in analyzing the variation between them. The instructor will most likely determine the "intraclass correlation coefficient" statistic.
<h3>Explain the term intraclass correlation coefficient?</h3>
An indicator of the validity of the ratings for clusters is the intraclass correlation coefficient, abbreviated ICC.
- Data that is grouped together is referred to as a cluster. Instead than comparing two independent classes of data, ICC is used to detect correlations within a specific class of data.
- As was already noted, Pearson's r is the most often utilized correlation coefficient.
- When there are just one or two significant pairs from just one or two raters, Pearson's correlation coefficient is typically employed to measure inter-rater reliability.
- However, this intraclass correlation coefficient ought to be utilized if there are more pairs.
A tennis wall volley test has two 30-second trials, and a teacher is interested in analyzing the variation between them.
Thus, the instructor will most likely determine the "intraclass correlation coefficient" statistic.
To know more about the correlation coefficient, here
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