Answer:
16.1
Step-by-step explanation:
The recursive formula
means that the current element (
) is written in terms of the term immediately before (
).
In order to get , you have to add 5 to the previous term . In other words, every term is 5 more than its predecessor.
So, if we want the 8th term, we can keep adding 5 until we get there:
Its is true that C ⊆ D means Every element of C is present in D
According to he question,
Let C = {n ∈ Z | n = 6r – 5 for some integer r}
D = {m ∈ Z | m = 3s + 1 for some integer s}
We have to prove : C ⊆ D
Proof : Let n ∈ C
Then there exists an integer r such that:
n = 6r - 5
Since -5 = -6 + 1
=> n = 6r - 6 + 1
Using distributive property,
=> n = 3(2r - 2) +1
Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then
Let s = 2r - 2
Then, m = 3r + 1 with r some integer and thus m ∈ D
Since , every element of C is also an element of D
Hence , C ⊆ D proved !
Similarly, you have to prove D ⊆ C
To know more about integers here
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Answer:
y = 4x + 24
Step-by-step explanation:
The slope is the number in front of the x-value.
Slope intercept form is in the form of
y = mx + b (or as how I learned it)
m is the slope, and b is the y-intercept (the number that is left on the side.)
You can rearrange this by moving the x to the right side by subtracting it from both sides.
You now have 1/8y = 3 - 1/2x
which can be rearranged to
1/8y = -1/2x + 3.
You need to change the y to 1 whole instead of 1/8, so you multiply it by 8 since 8 divided by 8 is 1.
y = -4x + 24
