Answer:
C. ![3x^2y](https://tex.z-dn.net/?f=3x%5E2y)
Step-by-step explanation:
Given the trinomial
![18x^2y-9x^2y^2+6x^3y](https://tex.z-dn.net/?f=18x%5E2y-9x%5E2y%5E2%2B6x%5E3y)
consisting of three terms.
Find the greatest common factor of numbers:
![18=2\cdot 3\cdot 3\\ \\9=3\cdot 3\\ \\6=2\cdot 3\\ \\GCF(18,9,6)=3](https://tex.z-dn.net/?f=18%3D2%5Ccdot%203%5Ccdot%203%5C%5C%20%5C%5C9%3D3%5Ccdot%203%5C%5C%20%5C%5C6%3D2%5Ccdot%203%5C%5C%20%5C%5CGCF%2818%2C9%2C6%29%3D3)
Find the greatest common factor of powers x:
![x^2=x\cdot x\\ \\x^3=x\cdot x\cdot x\\ \\GCF(x^2,x^3)=x\cdot x=x^2](https://tex.z-dn.net/?f=x%5E2%3Dx%5Ccdot%20x%5C%5C%20%5C%5Cx%5E3%3Dx%5Ccdot%20x%5Ccdot%20x%5C%5C%20%5C%5CGCF%28x%5E2%2Cx%5E3%29%3Dx%5Ccdot%20x%3Dx%5E2)
Find the greatest common factor of powers y:
![y=y\\ \\y^2=y\cdot y\\ \\GCF(y,y^2)=y](https://tex.z-dn.net/?f=y%3Dy%5C%5C%20%5C%5Cy%5E2%3Dy%5Ccdot%20y%5C%5C%20%5C%5CGCF%28y%2Cy%5E2%29%3Dy)
Thus, the greatest common factor of the whole terms is
![3\cdot x^2\cdot y=3x^2y](https://tex.z-dn.net/?f=3%5Ccdot%20x%5E2%5Ccdot%20y%3D3x%5E2y)
Answer: The answer is A.
Step-by-step explanation: The population of interest is defined as the population that you are drawing an inference (or conclusion) about. Usually, you cannot obtain the data for the whole population of interest, rather you can only obtain data for a proportion of it and then make inference about the whole population.
In this question, we can see that the researcher considers the population of interest to be "students last semester at FIU", therefore, A is the best answer. Option B and D are too broad, while option C refers to the sample, not population of interest, of the study.
Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
![=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
![=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bg%28x_%7B2%7D%29-g%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
![\:Average\:rate\:of\:change\:=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}](https://tex.z-dn.net/?f=%5C%3AAverage%5C%3Arate%5C%3Aof%5C%3Achange%5C%3A%3D%5C%3A%5Cfrac%7Bg%5Cleft%287%5Cright%29-g%5Cleft%284%5Cright%29%7D%7B7-4%7D)
![\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%3D%5C%3A%5Cfrac%7Bg%5Cleft%287%5Cright%29-g%5Cleft%284%5Cright%29%7D%7B7-4%7D)
Therefore,
would be the correct statement.
1 and 31 as it is a prime number so there are no other factors
Answer:
b = 10
Step-by-step explanation:
P = 2 (l + b)
l = 15
P = 50
Substitute
50 = 2 (15 + b)
multiply
50 = 30 + 2b
subtract
20 = 2b
divide
b = 10