Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer:
c
Step-by-step explanation:
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A = 
where,
α is the central angle in radians
On substituting the value we get:

Therefore, the area of sector is 1.57 m²
I think it is the second one if I'm correct which probably I'm am wrong so don't take my word but if you want to
Answer:
Step-by-step explanation:
given that in a lottery game, a player picks 5 numbers from 1 to 46
If 4 of the 5 numbers match those drawn, the player wins second prize.
Assuming the numbers are chosen without repitition we find that the player can choose 5 numbers in 46C5 ways.
To win the prize he must choose 4 numbers form the 5 numbers in the prize and remaining 1 number any other number.
i.e. no of ways to get II price = choosing 4 numbers out of 5, and one number from 41
= 
Probability of winning this prize
=