Answer:
there are holes at x= 3/2 and x=-1/3
Step-by-step explanation:
Answer:
unrepresentative
Step-by-step explanation:
pretty sure dont quote me
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
Answer:
Step-by-step explanation:
3x+4y=−23.........(1)
x=3y+1 .........(2)
Putting (2) in (1)
3(3y + 1) + 4y = -23
9y + 3 + 4y = -23
9y + 4y = -23 - 3
13y = -26
y = -26/13
y = -2
Putting y into (2)
x=3y+1
x = 3(-2) + 1
x = -6 + 1
x = -5
Answer: to avoid bias and to get a representative sample
Step-by-step explanation:
A random sample is useful for:
Avoid bias: if you have a selected sample, all of the selected individuals may have some common factor (same age group, same salary rage, same political ideology) so the sample may be kinda biased, this is something that you may want to avoid.
All the other options can not be ensured by any method, you survey, even with a random sample, may have no significant result, and you can not ensure that the surveyed people will answer truthfully.