X=8 because add 11 to both sides and it becomes 28=3.5x and divide both sides by 3.5 so x=8
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:
Water can freeze at 32 degrees f
Answer:
Step-by-step explanation:
14. You would add 41 + 41 + 61 + 61 because you just need to add together all the sides.
15. you need to measure the all the sides for 15 and do the same thing that you did on 14
Answer:
5 <= y <= 85
Step-by-step explanation:
Since the lowest weight possible is 5lbs (just the barbell and no weights) the lowest point of the range is 5lbs (the y intercept when x = 0)
The highest weight possible is 85lbs since, there is only 8 pairs of weight plates (8 is the input value) and the pairs each weigh 10lbs (the slope of the graph) + 5lbs from the barbell (y-intercept).
Using the function given, if you input 8 as the x value, you get
85 = 10(8) + 5
So the highest value of the range is 85lbs, therefore the range is 5 <= y <= 85.