Answer:
The given sequence is:
a(2)=1
a(3)=3
a(4)=9
We are to find the average rate of change between n=3 and n=4 for the given function.
Average rate of change =
So the average rate of change for the given function from n = 3 to n = 4 is 6
Step-by-step explanation:
Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
=================================================
Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
-------------
Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
Answer:
Bert has $45.
Step-by-step explanation:
I have no real strategy, except for that I used guess and check. How did I do this? Well, since I am in 5th Grade, I don't know algebra very well, so I made an organized chart and checked all the numbers that had to be a multiple and could be divided equally by 5, 3 and when a third of that number was subtracted by 6, it was a fifth of the orginal number. Thats how I got 45.
Checking this answer:
It is always important to check your answer after finishing the problem, so this is how I checked my answer:
1. 45 divided by 3 = 15
2. 15 - 6 = 9, and 9 is 1/5 of 45
Bert has $45.
Answer:
1. x ≤ 400
2. x ≥ 200
3. x < 20
Step-by-step explanation:
I am pretty sure that this is right. :)
<span>all real numbers between 19 and 54 inclusive</span>
