The range of a function is the value of y where it is defined
Note the coordinates of the 3 points:
A(-2,0)
B(2,4)
C(3,-3)
As described the range (values of y) are 0,4 & -3
Hence Range ={ y ∈ -3 ≤ y ≤ 4}
Answer:
90
Step-by-step explanation:
The number of candies can be divided among 2, 3, or 5 children so that is the same as saying: the number of candies must be divisible by 2, 3, and 5. In order for a number to be divisible by 5, it must end in 0 or 5 so we know the number of candies must end in 0 or 5. For a number to be divisible by 2, the number must end in an even number. 5 is not an even number so we know the number of candies must end in 0. If a number is divisible by 3, the digits added are divisible by 3. Go through each number(80, 90, 100) and see which one is divisible by 3. 90 is divisible by 2, 3, and 5.
Proof that 90 is divisible by 2, 3, and 5:
90 ÷ 2 = 45
90 ÷ 3 = 30
90 ÷ 5 = 18
The results are all whole numbers.
50 seats = 25% = 1/4
100 seats = 50% = 2/4
150 seats = 75% = 3/4
200 seats = 100% = 4/4 <------ Logical pattern emerges.
Answer: There will 486 bacteria in 31 hours.
Step-by-step explanation:
The population decay in bacteria is exponential.
Exponential function : 
, where A = initial population, b multiplication decay factor, t= time:
As per given:
Initial population: 
After 36 hours, population = 
Divide both sides by 120,000 we get
Taking natural log on both sides , we get
At x= 31,
Hence, there will 486 bacteria in 31 hours.
