1) Its a cylinder.
2) Its a triangular prism.
Answer:
The correct option is e) 27.
Step-by-step explanation:
Consider the provided information.
We need to find how many palindromes are possible If 5-digit palindromes are formed using one or more of the digits 1, 2, and 3,
The number should be in the form of XYZYX
Now for the first digit we have 3 choices, for second digit we also have 3 choices, for third digit we also have 3 choices but for fourth and fifth digit we have only one choice.
Therefore the number of possible palindromes are:
3 × 3 × 3 × 1 × 1 = 27
Hence, the correct option is e) 27.
Answer: Option C
![f(x) = x^2;\ k (x) = x ^ 2 -7](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%3B%5C%20k%20%28x%29%20%3D%20x%20%5E%202%20-7)
Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:
![k (x) = f (x) + b](https://tex.z-dn.net/?f=k%20%28x%29%20%3D%20f%20%28x%29%20%2B%20b)
If
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If
then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have
![f (x) = x ^ 2](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%20x%20%5E%202)
We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is
![k (x) = x ^ 2 -7](https://tex.z-dn.net/?f=k%20%28x%29%20%3D%20x%20%5E%202%20-7)
When I searched the answer up it gave me 279 or 197
B
The end behavior of a positive cubic function states that as x approaches infinity, y approaches infinity.
Similarly, as x approaches negative infinity, y approaches negative infinity.
This means that when written in interval notation, the range is (-inf, +inf).