Answer:
2x < 600 or x < 300
Step-by-step explanation:
x = Johnny's current amount of records.
24= 3*2^3
88= 11*2^3
664= 83*2^3 -> 83=11+72 = 11 + 2^3*3^2
664=2^3 (11+2^3*3^2) = 88 +(2^3*2^3*3^2) = 88 +(24^2)
8408= 1051 * 2^3 -> 1051= 83+968 -> 968 = 2^3 * 11^2
8408= 2^3 (83+2^3*11^2) = 664 +(2^3*2^3*11^2) = 664 +(88^2)
So:
a(n) = a(n-1) + a(n-2)^2
Lets check: 88+24^2= 664
664+88^2= 8408
The average rate of change over the interval is 2/9
<h3>How to determine the average rate of change?</h3>
The interval is given as:
-4 ≤ x ≤ 5
From the table, we have:
f(5) = 4
f(-4) = 2
The average rate of change is then calculated as:
![m = \frac{f(5) - f(-4)}{5 --4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%285%29%20-%20f%28-4%29%7D%7B5%20--4%7D)
This gives
![m = \frac{4 - 2}{5 +4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%20-%202%7D%7B5%20%2B4%7D)
Evaluate
![m = \frac{2}{9}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B2%7D%7B9%7D)
Hence, the average rate of change over the interval is 2/9
Read more about average rate of change at:
brainly.com/question/23715190
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Step-by-step explanation::20x-10x=10x(2-1)=10x
Volume of right triangular prism is bxhxL/2
So here it is 5x12x16/2 = 480