Answer:
Step-by-step explanation:
Given
Required
Solve for w
In absolution functions;
So, the given expression can be rewritten as
Removing the absolute sign, will gibe
or 
When the second inequality os rewritten, it gives
or 
Reorder both inequalities
or
Lastly, both inequalities are combined
Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
Answer:
13
Step-by-step explanation:
(x + 3)^3/2 = 64
√(x + 3)^3 = 64
(x + 3)^3 = 64^2
(x + 3)^3 = (4^3)^2
(x + 3)^3 = (4^2)^3
Same exponent
So
x + 3 = 4^2
x + 3 = 16
x = 13
Answer: the answer is MO=5
Step-by-step explanation:
Answer:
66.7%
Step-by-step explanation:
The factors of 18 are as listed: 1, 2, 3, 6, 9, 18
Since 1, 2, 3, and 6 are in the die, that makes 4 out of the 6 numbers.
4/6 can be simplified to .667 or 66.7%
