Answer: i think (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:
(4n + 1)²(4n - 1)²
= [(4n + 1)(4n - 1)]²
= (16n² - 1)²
= 16².n².n² - 2.16.n² + 1
= 8n²(32n² - 4) + 1
can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8
=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.
Step-by-step explanation:
Answer:
1) Rolling a 3 is unlikely and rolling a 4 is unlikely too.
2) The probability of niki drawing a green marble is likely and the probability of tom drawing a blue marble is unlikely.
Step-by-step explanation:
1) Since there is only one 3 out of 6 numbers, the probability of that outcome is 1/6, which is low. The same thing goes for throwing a 4.
2) The reason why it is equally likely for niki drawing a green is because there are more green marbles than the other marbles. You could see it as a fraction as well, which is 4/9 Which is very close to one half (4.5). For tom, there are less blue marbles which brings it down to the unlikely spot (fraction = 3/9)
Hopefully this helps, and hopefully it isn't too confusing.
Answer:
The slope of the line represented by y = -5x is "-5".
Step-by-step explanation:
y=mx+b
M=slope
b=Y-intecerpt
Answer:
x > 7
Step-by-step explanation:
3x-18 > 3
+18 3x-18 > 3 +18
3x > 21
x > 7
Step-by-step explanation:
Thats the answer it's easy
