Answer:
60
Step-by-step explanation:
Answer:
Option D. 13122 is the answer.
Step-by-step explanation:
As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.
Sequence is 2, 6, 18 , 54, 162, 486.
and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.
Now we know that explicit formula of the sequence can be written as
where Tn is the nth term of the sequence.
a = first term
r = common ratio
n = number of the term
Now from this explicit formula we can find the 9th term of the sequence.
From the given table
a = 2, r = 3, n = 9
T9 = 13122
Therefore Option D. 13122 will be the answer.
Answer:
x = -
Step-by-step explanation:
Given
49 + 2x = 6x + 52 ( subtract 6x from both sides )
49 - 4x = 52 ( subtract 49 from both sides )
- 4x = 3 ( divide both sides by - 4 )
x = = - = - 0.75
Answer: 6.71
Explanation:
1) The absolute value of a complex number a + bi is √ [ (a)² + (b)²]
2) The given number - 3 - 6i is equivalent to (-3) + (-6)i, so you see that a = -3 and b = - 6.
3) Therefore, the absolute value is √ [ (-3)² + (-6)² ] = √ [ 9 + 36] = √(45) ≈ 6.708 ≈ 6.71
Answer:
The least common multiple of 12x and 40y is 120xy.
Step-by-step explanation:
First, we need to get the prime factors of each number.
12x: 2 × 2 × 3 × X
40y: 2 × 2 × 2 × 5 × Y
Then, we need to see how many times each factor occurs in each factorization.
2 × 2 × 3 × X: 2 twice, 3 once, X once
2 × 2 × 2 × 5 × Y: 2 three times, 5 once, Y once
Finally, we need to multiply each factor the most number of times it occurs in either factorization.
The most times 2 appeared was 3 times.
3 once.
5 once.
X once.
Y once.
With that information, we do this:
2 × 2 × 2 × 3 × 5 × X × Y = 120xy
The least common multiple of 12x and 40y is 120xy.