HELP
1 answer:
You might be interested in
Answer:
will be inequality which shows the times there will be more than 10 gallons in the barrel.
Step-by-step explanation:
To determine:
Write an inequality showing the times there will be more than 10 gallons in the barrel.
Information Fetching and Solution Steps:
- Skylar is filling a barrel with water.
- The graph shows the relationship between time in minutes and the gallons of water in the barrel.
As the questions asks to determine the inequality showing the times there will be more than 10 gallons in the barrel.
For inequalities with 'more than', we use the 'greater than' symbol.
The graph shows that at time 15 minutes, the number of gallons of water is being shown as 10. As we have to determine the inequality for the time there will be more than 10 gallons in the barrel. So, time must be greater than 15 when there will be more than 10 gallons in the barrel.
If time is represented by 't', then the inequality showing the times there will be more than 10 gallons in the barrel will be:
Therefore, will be inequality which shows the times there will be more than 10 gallons in the barrel.
Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
