Answer:
Step-by-step explanation:
Each point of function b(x) is shifted by rule
x -----> ( x - 2 )
and
y -----> (y + 3)
( - 1.5, 0) ------> (- 3.5, 3)
(- 1, - 1) -----> ( - 3, 2)
(0, - 2) ------> ( - 2, 1)
(1, - 1) -----> ( - 1, 2)
(2, 3) -----> (0, 6)
(4, 7) -----> (2, 10)
......
Answer:
a. 7893600
Step-by-step explanation:
Given that there are 26 numbers out of which 5 numbers are to be chosen.
Here repetition is not allowed.
For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.
1st case, number of possibilities = 26
2nd case, number of possibilities = 25
3rd case, number of possibilities = 24
4th case, number of possibilities = 23
5th case, number of possibilities = 22
a. Total number of possibilities = 26 25
24
23
22 = <em>7893600</em>
b. Probability of winning by choosing one number:
Formula for probability of an event E can be observed as:
Number of favorable cases = 1
Total number of cases = 26
So, required probability:
So, the answers are:
a. 7893600
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.