Answer:
Expand by multiplying x2+4x-4 by multiplying by x+4. Distribute and get x3+8x2+12x-16. You can verify it is correct by dividing by x+4 and you will arrive at x2+4x-4.
It is not a function because x repeats
Domain={1,-2,-1}
Range={-2,0,2,3}
Hope this helps
Have a great day/night
Answer:
65.8km/h (to one decimial place).
Answer:
![241^{257}\ mod\ 12 =1](https://tex.z-dn.net/?f=241%5E%7B257%7D%5C%20mod%5C%2012%20%3D1)
![7 * 20 = 140](https://tex.z-dn.net/?f=7%20%2A%2020%20%3D%20140)
![\frac{1}{700}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B700%7D)
Step-by-step explanation:
Solving (a): 241^257 mod 12
To do this, we simply calculate ![241\ mod\ 12](https://tex.z-dn.net/?f=241%5C%20mod%5C%2012)
Because ![a\ mod\ b = a^n\ mod\ b](https://tex.z-dn.net/?f=a%5C%20mod%5C%20b%20%3D%20a%5En%5C%20mod%5C%20b)
The highest number less than or equal to 241 that is divisible by 12 is 240; So:
![241\ mod\ 12 = 241- 240](https://tex.z-dn.net/?f=241%5C%20mod%5C%2012%20%3D%20241-%20240)
![241\ mod\ 12 =1](https://tex.z-dn.net/?f=241%5C%20mod%5C%2012%20%3D1)
Hence:
![241^{257}\ mod\ 12 =1](https://tex.z-dn.net/?f=241%5E%7B257%7D%5C%20mod%5C%2012%20%3D1)
Solving (b): 7 * 20
![7 * 20 = 140](https://tex.z-dn.net/?f=7%20%2A%2020%20%3D%20140)
Solving (c): Multiplicative inverse of 7 in 719
The position of 7 in 719 is 700
So, the required inverse is 1/700 ---- i.e. we simply divide 1 by the number
Note: <em>The missing graph is attached below. </em>
Answer:
'linear decreasing' best describes interval C on the graph shown.
Step-by-step explanation:
Note: <em>The missing graph is attached below. </em>
From the attached graph, it is easy to figure out that the interval C on the graph shown is showing a straight line. So the graph of the function would be linear.
Also on the interval C, the value of y is decreasing as the value of x increase. So, the slope of the straight line would be negative.
So the interval C indicates that the function is decreasing there.
Therefore, 'linear decreasing' best describes interval C on the graph shown.