Answer:
28
Step-by-step explanation:
We will keep dividing by prime numbers until both are one (we will only consider whole divisions)
```
14 28 | 2
7 14 | 2
7 7 | 7
1 1
Now we <em>m</em><em>u</em><em>l</em><em>t</em><em>i</em><em>p</em><em>l</em><em>y</em> the left collumn, to get the LCM
2 * 2 * 7 = 28
And this was the vertical method, ok?
Answer:
option B and C
Step-by-step explanation:
Lets check each function
Lets simplify 
factor the numerator
Cancel out x+5 so we are left with x-5
When x=-5 then f(x) = x-5= -5-5 = -10
To make the function continuous at x=-5 the value of f(x) should be -10
So option B is correct
Now we check with option C and D
Lets simplify 
factor the numerator
Cancel out x+5 , so we are left with x+5
When x=-5 then f(x) = x+5= -5+5 = 0
To make the function continuous at x=-5 the value of f(x) should be 0
So option C is correct
First, create a rule for this sequence.
Let a(1) be the first term (which here happens to be 1).
The next term, a(2), is twice the previous term, that is, twice 1, or 2.
a(3) = 2a(2) = 2(2) = 4
This is called a "recursive function."
The 3rd term is 4. The next, which is a(3) is 2*4, or 8.
Note that there's an alternative approach. The first term, a(1), is 1; the next is a(2) = a(1)*2^(2-1) = 1*2^1=2
the next is a(3) = 1*2^(3-1) = 1*2^2 = 4
So the rule is a(n) = a(1)*2^(n-1).
So a(8) is a(1)*2^(8-1) = 1*2^7 = 2^3*2^4 = 8(16) = 128
Answer:
x > 1 or x < 7
Step-by-step explanation:
| x - 4 | < 3
± ( x - 4 ) < 3
There are two possible cases
( x - 4 ) < 3 or - ( x - 4 ) < 3
x - 4 < 3 or - x + 4 < 3
x < 3 + 4 or 4 - 3 < x
x < 7 or 1 < x
x > 1 or x < 7
Therefore option 4 is correct.
(55 + 150 + 325 + 510 + 780 + 990) - (40 + 150 + 300 + 500 + 800 + 1000) = 2810 - 1790 = 20
