X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
The correct answer is 675
Answer:
The number of subscription will be 26,655 in 2022.
Step-by-step explanation:
In 2005, the number subscription is 110,000 and it is decreased at a rate 8% per year.
After 1 year number of subscription is 110,000- 8% of 110,00
=110,000(1-8%)
After 2 years number of subscription is 110,000(1-8%) -8% of 110,000(1-8%)
=110,000(1-8%)(1-8%)
=110,000(1-8%)²
After 2 years number of subscription is 110,000(1-8%)² -8% of 110,000(1-8%)²
=110,000(1-8%)²(1-8%)
=110,000(1-8%)³
....
and so on.
After t year the number of subscription is
t= 2022-2005=17 years
≈26,655
The number of subscription will be 26,655 in 2022.
Answer (statistical):
1. How old are the students in this room?
2. What do 7th graders prefer to eat for lunch?
3. What time did the students in this class get up this morning?
4. What is the typical amount of pets owned by students in my class?
5. What were the high temperatures in all of the Latin American capitals today?
Answer (non-statistical):
1. What did Tom eat for lunch?
2. How old are you?
3. How many brothers does Marley have?
4. Did you get up on time today?
5. How many votes did the winning candidate for the Student Body receive this year?