Counterexample: 27 is divisible by 3 but is not divisible by 6
27.928cm² the process is shown in the following picture
Answer:
The vertex of the function f(x) is at (2,-7)
Step-by-step explanation:
The function is given to be f(x) = |x-2| -7
Now, f(x) = x - 2 - 7 = x - 9 for, (x - 2) ≥ 0, ⇒ x ≥ 2 ............ (1)
and f(x) = 2 - x - 7 = - x - 5 for, (x - 2) < 0, ⇒ x < 2 .............. (2)
Now, solving equation (1) and (2), we get, x - 9 = - x - 5
⇒ 2x = 4
⇒ x = 2
And hence, from equation (1) we get, y = x - 9 = 2 - 9 = - 7
Therefore, the vertex of the function f(x) is at (2,-7) (Answer)
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:
For an impossible event, the possible favorable outcomes is 0. So,
For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,
Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.