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3 years ago

40x/64ydivided by 5x/8y=

1 answer:

4 0

40x/64ydivided by 5x/8y would be better written as

40x/64y
------------ which in turn would be clearer if written as
5x/8y

40x
--------
64y
==========
5x
------
8y

Now invert (5x/8y) and multiply (40x/64y) by your result:

 40x 8 y
-------- * ------ Reducing, we get 8/8, or 1. The answer is 1.
64y 5x

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What is the value of the expression 2x² – 5x + 6 when x = -2?

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Answer:

24 is correct answer

Step-by-step explanation:

$2 {x}^{2} - 5x + 6 \\ = 2 {( - 2)}^{2} - 5 \times ( - 2) + 6 \\ = 2 \times 4 + 10 + 6 \\ = 8 + 10 + 6 \\ = 24$

hope it helped you:)

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

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3 years ago