On a timed session please help I have one more question after this.....
1 answer:
The coffee shop used 52 pounds of Type A coffee.
Step-by-step explanation:
Cost of Type A coffee per pound = 5.25
Cost of Type B coffee per pound = 4.10
Total pounds used in blend = 142
Total cost = 642.00
Let,
x be the pounds of Type A coffee used
y be the pounds of Type B coffee used
According to given statement;
x+y=142 Eqn 1
5.25x+4.10y=642.00 Eqn 2
Multiplying Eqn 1 by 4.10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 1.15
The coffee shop used 52 pounds of Type A coffee.
Keywords: linear equation, elimination method
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Answer: 
Explanation: For a general binomial expansion,
, we know that the powers have to add up to the initial power. This means that the power of x and power of y have to add up to n. This is the binomial theorem.
To further demonstrate this, let's use:
We can easily expand this. Using Pascal's Triangle, we get:
As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get:
Explanation: For a general binomial expansion,
To further demonstrate this, let's use:
We can easily expand this. Using Pascal's Triangle, we get:
As we progress along the expansion, we can see that in each term, the summation of each power remains constant, namely 4.
It doesn't matter what term the binomials are, because the power summation will never change.
This is why we can say that it is raised to the 12th power, and the binomial is:
(5x - 6y).
Thus, we get: