Answer
Explanation
Translations move the parent function toward the left, right, downwards or upwards.
f(x) = 2 |x|
This stretches the function by a factor of 2, hence, it is not a translation.
f(x) = |x + 6|
This translates the parent absolut value functio
65 sequences.
Lets solve the problem,
The last term is 0.
To form the first 18 terms, we must combine the following two sequences:
0-1 and 0-1-1
Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent
So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:
2x + 3y = 18
Case 1: x=9 and y=0
Number of ways to arrange 9 identical 2-term sequences = 1
Case 2: x=6 and y=2
Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28
Case 3: x=3 and y=4
Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35
Case 4: x=0 and y=6
Number of ways to arrange 6 identical 3-term sequences = 1
Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65
Hence the number of sequences are 65.
Learn more about Sequences on:
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Answer:
∠2 = 51°
Step-by-step explanation:
The sum of supplementary angles = 180°
Equate the sum of the angles to 180 and solve for a
11a + 19 + 6a - 9 = 180
17a + 10 = 180 ( subtract 10 from both sides )
17a = 170 ( divide both sides by 17 )
a = 10
Hence
∠2 = (6 × 10) - 9 = 60 - 9 = 51°
Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Multiply both top and bottom by that number.
Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
