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3 years ago

7

Here are some letters and what they represent. All costs are in dollars. M represents the cost of a main dish n represents the n

umber of side dishes s represents the cost of a side dish t represents the total cost of a meal What does ns = 6 mean in this situation?

1 answer:

e-lub [12.9K]3 years ago

7 0

Answer:

$ns=6$ means total cost of side dishes is equal to 6.

Step-by-step explanation:

M represents the cost of a main dish.

n represents the number of side dishes.

s represents the cost of a side dish.

t represents the total cost of a meal

Total cost of side dishes = Cost of a side dish × Number of side dishes = ns

Therefore,

$ns=6$ means total cost of side dishes is equal to 6.

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$(1+x)^{k+1}=(1+x)\left(\dbinom k0+\dbinom k1x+\cdots+\dbinom k{k-1}x^{k-1}+\dbinom kkx^k\right)$
$(1+x)^{k+1}=1+\left(\dbinom k0+\dbinom k1\right)x+\left(\dbinom k1+\dbinom k2\right)x^2+\cdots+\left(\dbinom k{k-2}+\dbinom k{k-1}\right)x^{k-1}+\left(\dbinom k{k-1}+\dbinom kk\right)x^k+x^{k+1}$

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$\dbinom k\ell+\dbinom k{\ell+1}=\dfrac{k!(\ell+1)}{(\ell+1)!(k-\ell)!}+\dfrac{k!(k-\ell)}{(\ell+1)!(k-\ell)!}$
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which agrees with the result obtained for part (c).

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