Answer:

Step-by-step explanation:
Distribute (2h − 3k)(h + 5k).
2h^2 + 10hk - 3hk - 15k^2
2h^2 + 7hk 15k^2
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:
In a herd no. of Cattle are: x
The ratio of bulls to cows is 1:6
\frac{bulls}{cows} = \frac{1}{6}
6 bulls = 1 cows
bulls \: + cows = x
bulls + 6 \: bulls \: = x
7bulls = x
The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5
<u>Solution:</u>
Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )
We have to solve the above given equation for x.
Now, take the equation

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction
On solving the brackets, we get

Now multiplication is given preference


Now subtraction is done

Now division is performed

Hence, the value of x is 4.5