Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.
The complete question is attached below.
<h3>What is the
maximum and minimum value of the function?</h3>
The condition for the maximum will be
f"(x) < 0
The condition for the minimum will be
f"(x) > 0
Consider the inverse function.
f⁻¹(x) = -√(x - 2)
Then the conclusion of the function f(x) = x² + 2 will be
Differentiate the function, then we have
f ' (x) = 2x
Again differentiate, then we have
f" (x) = 2
f" (x) > 0
Then the function has a minimum value at (0, 2)
The function has a y-intercept at (0, 2)
Then the correct options are A, B, and E.
More about the maximum and minimum value of the function link is given below.
brainly.com/question/13581879
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Answer:
It will cost $700 to play the entire schedule.
Step-by-step explanation:
Given : 
To Find : A softball league has 5 teams, each of which play the others twice. If the league pays $35 per game, how much will it cost to play the entire schedule?
Solution:
Equation for total no. of games when all the teams play each other twice is 
Now we are given that A softball league has 5 teams, each of which play the others twice.
So, Substitute x = 5 in the given equation


So, The total no. of games = 20
Cost for 1 game = $35
So, cost for 20 games = 
Hence it will cost $700 to play the entire schedule.
Answer:
Step-by-step explanation:
if your question is
"Choose the student who correctly used substitution to determine if 19 was a solution to the equation. 6 + m = 24. 6 + 19 = 24. 24 = 24. 19 is a solution. 6 + m = 24. 6 + 19 = 24. 25 not-equals 24. 19 is not a solution. 6 + m = 24. 6 + 24 = 24. 30 not-equals 24. 19 is not a solution. 6 + m = 24. 6 + 19 = 24. 25 = 24. 19 is a solution."
then juan is correct