Answer:
16
Step-by-step explanation:
To find the average, add up all the number and divide by the number of terms
(11+ 13+ 18 + 22)/4
64/4
16
Choice A is the answer which is the point (1,-1)
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How I got this answer:
Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.
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checking choice A
plug in (x,y) = (1,-1)
![y - 2x \le -3](https://tex.z-dn.net/?f=y%20-%202x%20%5Cle%20-3)
![-1 - 2(1) \le -3](https://tex.z-dn.net/?f=-1%20-%202%281%29%20%5Cle%20-3)
![-3 \le -3](https://tex.z-dn.net/?f=-3%20%5Cle%20-3)
This is true because -3 is equal to itself. So this is the answer.
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checking choice B
plug in (x,y) = (2,4)
![y - 2x \le -3](https://tex.z-dn.net/?f=y%20-%202x%20%5Cle%20-3)
![4 - 2(2) \le -3](https://tex.z-dn.net/?f=4%20-%202%282%29%20%5Cle%20-3)
![0 \le -3](https://tex.z-dn.net/?f=0%20%5Cle%20-3)
This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.
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checking choice C
plug in (x,y) = (-2,3)
![y - 2x \le -3](https://tex.z-dn.net/?f=y%20-%202x%20%5Cle%20-3)
![3 - 2(-2) \le -3](https://tex.z-dn.net/?f=3%20-%202%28-2%29%20%5Cle%20-3)
![7 \le -3](https://tex.z-dn.net/?f=7%20%5Cle%20-3)
This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.
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checking choice D
plug in (x,y) = (3,4)
![y - 2x \le -3](https://tex.z-dn.net/?f=y%20-%202x%20%5Cle%20-3)
![4 - 2(3) \le -3](https://tex.z-dn.net/?f=4%20-%202%283%29%20%5Cle%20-3)
![-2 \le -3](https://tex.z-dn.net/?f=-2%20%5Cle%20-3)
This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.
Answer:
x = 9.7
Step-by-step explanation:
The area of a triangle is A = b * h / 2 where A, b, and h are the area, base and height respectively. We know that A, b, and h equal 47, x, and x respectively so we can write:
47 = x * x / 2
47 = x² / 2
94 = x²
x = ±√94
In context, x can't be negative so the answer is x = √94 = 9.7.
22 gallons is 83.279 liters