Evaluate 7xy ÷ w + 4z when w = 10,x = 2,y = 5, and z = 9

1 answer:

4 0

First,, we need to insert the numbers in before we can start solving. This will change the expression to the following:
7(2)(5) ÷ 10 + 4(9)
We are first going to begin solving this by calculating the expression 7 × 2 × 5 ÷ 10. We can start this solving this by multiplying 2 by 5.
7 × 10 ÷ 10
Any expression divided by itself equals 1,, so the expression changes to:
7 × 1
Any expression multiplied by 1 remains the same,, so add 7 back into the equation.
7 + 4 × 9
Multiply the numbers together.
7 + 36
Lastly,, add the numbers together to find your final answer.
43
Let me know if you have any further questions.
:)

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What is the coefficient of x4y4 in the expansion of (x + y)8?

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Answer:

Step-by-step explanation:

If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:

1, 8, 28, 56, 70, 56, 28, 8, 1

The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):

$1(x^8)(y^0)+8(x^7)(y^1)+28(x^6)(y^2)+56(x^5)(y^3)+70(x^4)(y^4)+...$