Answer:
Step-by-step explanation:
Given
See attachment for table
Required
Determine the explicit formula for the table
First, we need to check if the guppies increases at arithmetic progression or geometry progression.
For arithmetic progression:
We calculate the common difference (d)
Take n as 1
From the table:
Take n as 2
From the table:
The two differences are not equal. So, this
For geometry progression:
We calculate the common ratio (r)
Take n as 1
From the table:
Take n as 2
From the table:
The two ratios are equal.
So, the next step is to calculate the explicit formula using n term of a geometric progression.
Because the progression starts from 0, we make use of the following formula
Substitute values for g(0) and r
Hence:
The explicit formula is:
25*40=1000 is how you write 25 times 40 = 1000
Answer:
He used 17/3 feet = 5 and 2/3 feet
Step-by-step explanation:
∵ He bought 9 and 1/3 feet = 28/3 feet
∵ He had 3 and 2/3 feet left = 11/3 feet
∴ He used = 28/3 - 11/3 = 17/3 feet = 5 and 2/3 feet
Answer:
y=-4/10x+ 5 or y=-0.4x+5
Step-by-step explanation:
The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.
1. Figure out your slope:
Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.
2. Determine whether it is positive or negative
A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward
3. Find the y-intercept
Simply look at the graph and find where the line crosses the y-axis
4. Plug everything into the equation
Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!
