Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
We can write this as:
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
Then we have the inequality
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
Answer: 180 cookies
Step-by-step explanation: If 1.75 cups of flour is required to make a batch and the bakery used 5.25, the bakery made 3 batches, since 1.75(3) is 5.25. One dozen is 12 cookies, and there are 5 dozen cookies in each batch. If there are 3 batches, then there are 15 dozens of cookies. 15(12) is 180.
Answer:
[A]
Step-by-step explanation:
8/12 is .67, when rounded. In order to find her percentage, multiply .67 by 100 to get it. She got 66.7%, when rounded, on the test.
It's linear
If you evaluate x when it's 0 you'll get the cut in y, that means the function will pass on (0,7)
The formula for linear functions is y=mx +b
In this case b is 7
M=7-5/0+1
M=2
Now you just write the function down, it would be
F(x) =2x + 7
