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4 years ago

6

Cate and Elena were playing a card game. The stack of cards in the middle had 25 cards in it to begin with. Cate added 5 cards t

o the stack. Elena then took 6 cards from the stack. Finally, Cate took 7 cards from the stack. How many cards were left in the stack? Need help ASAP

1 answer:

ch4aika [34]4 years ago

7 0

Answer:

17

Step-by-step explanation:

25 + 5 - 6 - 7 = 17

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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]

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

<em>-------------------------------------------------------------</em>

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
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<u>It's 10.</u>

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

$\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\\\\
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<u>It's 90</u>

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3 years ago