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:
Answer:
What’s this
Step-by-step explanation:
Answer:
A coefficient is the number next to a letter. It's used to multiply a variable. If there is just a variable then the coefficient is 1. For example 6x.
Step-by-step explanation:
The answer, is 2 1/9. subtract 1 7/7 from 3 1/2, and you'll get 2 1/2
(hope this helps)
Answer:
1) the constant of variation is 1/6
2) b=80 when A=10
3)the value of k is 40
4) x=0.032 when y = 10
Step-by-step explanation:
1)m varies directly as y
k is the constant of variation
We are given that m is 6 when y is 36
Hence the constant of variation is 1/6
2)A varies directly as b.
k is the constant of variation
We are given that A = 3 when b = 24
Substitute A=10
80=b
So, b=80 when A=10
3)y varies inversely with x
k is the constant of variation
We are given that y = 5 when x = 8
So, the value of k is 40
4)y varies inversely with x
k is the constant of variation
We are given that k=0.32
Substitute y = 10
So, x=0.032 when y = 10