Given:
The inequality is:
![y](https://tex.z-dn.net/?f=y%3C%5Csqrt%7Bx%2B3%7D%2B1)
To find:
The domain and range of the given inequality.
Solution:
We have,
![y](https://tex.z-dn.net/?f=y%3C%5Csqrt%7Bx%2B3%7D%2B1)
The related equation is:
![y=\sqrt{x+3}+1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%2B3%7D%2B1)
This equation is defined if:
![x+3\geq 0](https://tex.z-dn.net/?f=x%2B3%5Cgeq%200)
![x\geq -3](https://tex.z-dn.net/?f=x%5Cgeq%20-3)
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
![\sqrt{x+3}\geq 0](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%5Cgeq%200)
![\sqrt{x+3}+1\geq 0+1](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%2B1%5Cgeq%200%2B1)
![y\geq 1](https://tex.z-dn.net/?f=y%5Cgeq%201)
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
Answer:
for this question you need to take the 12p and 700 and add then dived by 2x which then gives you your answer
Answer:
- North Middle School = 10 students
- Central Middle School = 6 students
- South Middle School = 4 students
Step-by-step explanation:
First calculate the total number of students in all the schools:
= 618 + 378 + 204
= 1,200 students
Use this number to calculate the proportion of the total population that a school so that this can then be used to determine the proportion of the 20 delegates they should sent.
North Middle school:
= 618/1,200 * 20
= 10 students
Central Middle School:
= 378 / 1,200 * 20
= 6 students
South Middle School:
= 204/1,200 * 20
= 4 students
Answer:
I believe it's 19
Step-by-step explanation:
1 Gallon=4 Quart
2 pint=1 Quart
4 cups=1 Quart
12+3+2.5+1.5