The value of the functions f(x) and g(x) will be √(4x + 3) and √2. Then the correct option is B.
<h3>What is a function?</h3>
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
If (f g)(x) = h(x) such that h(x) = √(8x + 6). Then we have
(f g)(x) = h(x)
f(x) · g(x) = h(x)
Then put the value of h(x), then we have
f(x) · g(x) = √(8x + 6)
f(x) · g(x) = √2(4x + 3)
f(x) · g(x) = √(4x + 3) × √2
Thus, the value of the functions f(x) and g(x) will be √(4x + 3) and √2.
Then the correct option is B.
More about the function link is given below.
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Answer:
Student 2 used the correct steps to construct parallelogram PQRS.
Step-by-step explanation:
Out of all the students, student 2 got all the steps correct.
Fix the compass at Q and draw an arc that intersects side QP.
Without changing the width of the compass, move the compass to R and draw an arc.
Draw a line segment from R that passes through T and intersects the second arc at S.
This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible = 
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible = 
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible = 
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83
Answer:
44 Rachel earn in 10 hour
65 lbs= 1040 oz
120 people x 6 oz = 720 oz
1040-720 = 320 oz or 20 lbs left