Step-by-step answer:
We are looking at the coefficient of the 22nd term of (x+y)^25.
Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on, 22nd term is x^21y^4.
The twenty-second term of (x+y)^25 is given by the binomial theorem as
( 25!/(21!4!) ) x^21*y^4
=25*24*23*22/4! x^21y^4
= 12650 x^21 y^4
The coefficient required is therefore 12650, for a binomial with unit valued coefficients.
For other binomials, substitute the values for x and y and expand accordingly.
Question would have been more clearly stated if the actual binomial was given, as commented above.
Answer:
It's value is less than 0
Step-by-step explanation:
Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Step-by-step explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:
And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
<em>This says that from 
eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>
Now we have two equations:
We put the value of e from equation (1) into equation (2) and solve for s and get:
Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.
Answer:
<h2>it will take 30 minutes</h2>
Step-by-step explanation:
obtain a formula
<h3>=> M = $0.10($p)+$25</h3>
<u>insert the value of p dollars</u>
<h3>=> M = $0.10(50) + 25</h3>
<u>multiply 50 by 0.10</u>
<h3>=> M = $5 + 25</h3>
<em> </em><u>add 25 + 5</u>
<h3><em><u>=></u></em> M = $30</h3>
<u>So it takes 30 minutes for international minutes</u> <em><u>Thank </u></em><em><u>You</u></em>
^_^
