First you do the exponents so 10^-3 is:
1/10^3 (change it so it is not a negative exponent, so make it its reciprocal)
1/(10*10*10) = 1/1000 = 0.001
Answer:
x^2 - 9x + 20
Step-by-step explanation:
(x - 4)(x - 5) (have to do the opposite for it to be positive)
FOIL method: X x X = x^2
-5 x X = -5x
-4 x X = -4x
x^2 - 5x - 4x + 20
-5 - 4 = -9 so...
x^2 - 9x +20 is the answer
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:
brainly.com/question/12246947
#SPJ4
Step-by-step explanation:
0.6x- 1.2x = 6
-0.6x = 6
x = 6/0.6
x = -10
