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
Answer:
The distance is dependent
Step-by-step explanation:
Time is always the dependent variable because time will always stay the same when other things change, such as distance.
Answer:
3686
Step-by-step explanation:
First, we need to add up all the percentages to make sure we have 100%.
25.5% + 0.03% = 25.53%
This means that 74.47% of the students chose something other than basketball or soccer.
The amount of students you stated there were was 2553.
25.5% of 2553 is 651 students and
0.03% is 8 students.
Now, we divide 651 by 8 to determine the amount of times over basketball was chosen.
651 ÷ 8 = 81
Basketball was chosen 81 times over again compared to soccer.
To find how much more times basketball was chosen, subtract 8 from 651
651 - 8 = 643
Basketball was chosen 643 times more than soccer.
