Answer:
115.2 other solutions is 576/5, 115 1/5
Step by step explanation:
To divide by a fraction, multiply by the reciprocal of the fraction
2.4 x (12 x 4)
Then multiply 12 and 4 which is 48
2.4 x 48
Then multiply 2.4 x 48
which is 115.2
The question as presented is incomplete, here is the complete question with the multiple choice:
The sequence a1 = 6, an = 3an − 1 can also be
written as:
1) an = 6 ⋅ 3^n
2) an = 6 ⋅ 3^(n + 1)
3) an = 2 ⋅ 3^n
4) an = 2 ⋅ 3^(n + 1)
The correct choice is option 3) an = 2⋅3^n.
If we look at the initial sequence an = 3⋅an-1, and
a1 = 3⋅a0 = 6
a0 = 6/3
a0 = 2
We can now look at the sequence.
a0 = 2
a1 = 6
a2 = 18
a3 = 54
etc...
A common factor in each of those numbers is 2, so we can rewrite the sequence by factoring out 2.
a0 = 2⋅1
a1 = 2⋅3
a2 = 2⋅9
a3 = 2⋅27
The numbers being multiplied by 2 are all factors of 3. So we can rewrite the sequence again as:
a0 = 2⋅3^0
a1 = 2⋅3^1
a2 = 2⋅3^2
a3 = 2⋅3^3
This sequence can now be rewritten as an = 2⋅3^n.
Answer: Second option.
Step-by-step explanation:
The slope of a line can be calculated with this formula:
Then, you need to choose two points of the line shown in the graph and substitute them into the formula for calculate the slope:
Let's pick the points (-4,4) and (4,-2).
Substituting:
Simplifiying, you get that the slope of the line in the graph is:
60/15=4 meaning 25% of the dogs are purebreed
