Answer:
Its D because the x axis can repeat itself
Step-by-step explanation:
A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.
Answer:
The mean of A and C is equal to 10.
Step-by-step explanation:
We know that,
![\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of obervations}}](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D%5Cdfrac%7B%5Ctext%7BSum%20of%20observations%7D%7D%7B%5Ctext%7BTotal%20no%20of%20obervations%7D%7D)
The mean of A and B is 20,
![A+B=20\\\\A+B=40\ \ .........(1)](https://tex.z-dn.net/?f=A%2BB%3D20%5C%5C%5C%5CA%2BB%3D40%5C%20%5C%20.........%281%29)
The mean of B and C is 24,
![B+C=24\times 2\\\\B+C=48\ \ .........(2)](https://tex.z-dn.net/?f=B%2BC%3D24%5Ctimes%202%5C%5C%5C%5CB%2BC%3D48%5C%20%5C%20.........%282%29)
The mean of A,B and C is 18,
![A+B+C=18\times 3\\\\A+B+C=54\ .....(3)](https://tex.z-dn.net/?f=A%2BB%2BC%3D18%5Ctimes%203%5C%5C%5C%5CA%2BB%2BC%3D54%5C%20.....%283%29)
Put the value of A+B from (1) in (3),
C = 14
Put the value of B+C from (2) in (3)
A = 6
Mean of A and C is :
![M=\dfrac{A+C}{2}\\\\M=\dfrac{14+6}{2}\\\\M=10](https://tex.z-dn.net/?f=M%3D%5Cdfrac%7BA%2BC%7D%7B2%7D%5C%5C%5C%5CM%3D%5Cdfrac%7B14%2B6%7D%7B2%7D%5C%5C%5C%5CM%3D10)
So, the mean of A and C is equal to 10.
Answer:
![b^5 * j^6](https://tex.z-dn.net/?f=b%5E5%20%2A%20j%5E6)
Step-by-step explanation:
Well we can use the exponential identity: ![x^a*x^b=x^{a+b}](https://tex.z-dn.net/?f=x%5Ea%2Ax%5Eb%3Dx%5E%7Ba%2Bb%7D)
The base must be the same for this to work.
So let's combine like bases: ![(b^2*b^3)*(j^2*j^4)](https://tex.z-dn.net/?f=%28b%5E2%2Ab%5E3%29%2A%28j%5E2%2Aj%5E4%29)
We can simplify b^2 * b^3 using this identity to get: b^(2+3) = b^5
This gives us the equation: ![b^5*(j^2*j^4)](https://tex.z-dn.net/?f=b%5E5%2A%28j%5E2%2Aj%5E4%29)
But to take a deeper look as to why this identity holds, let's represent b^2 and b^3 by what it really means:
, so this is really just:
which can be simplified as an exponent:
, hopefully this helps you understand intuitively why this identity makes sense.
So using this identity, we can simplify j^2 * j^4 to j^6
This gives us the equation: ![b^5 * j^6](https://tex.z-dn.net/?f=b%5E5%20%2A%20j%5E6)
Answer:
38 degrees.
Step-by-step explanation:
Using the Cosine Rule:
11^2 = 10^2 + 17^2 - 2*10*17cos A
cos A = (11^2 - 10^2 - 17^2) / (-2*10*17)
cos A = -268/-340 = 0.788235
m < A = 37.979
Answer:
b. 9 units
Step-by-step explanation:
30/2 -6 = 15-6 = 9