3 years ago

What is the linear function of a table that is 35, 47.3 and 40, 42.5

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

dvdscscscvcwcawcsscsccs

Step-by-step explanation:scscscs

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Danielle spent 35$ on a magazine and some notepads. If the magazine cost 3$ and each notepad cost 4$ then how many notepads did

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3 years ago

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Solve the following recurrence relation: <br> <img src="https://tex.z-dn.net/?f=A_%7Bn%7D%3Da_%7Bn-1%7D%2Bn%3B%20a_%7B1%7D%20%3D

-Dominant- [34]

By iteratively substituting, we have

$a_n = a_{n-1} + n$

$a_{n-1} = a_{n-2} + (n - 1) \implies a_n = a_{n-2} + n + (n - 1)$

$a_{n-2} = a_{n-3} + (n - 2) \implies a_n = a_{n-3} + n + (n - 1) + (n - 2)$

and the pattern continues down to the first term $a_1=0$ ,

$a_n = a_{n - (n - 1)} + n + (n - 1) + (n - 2) + \cdots + (n - (n - 2))$

$\implies a_n = a_1 + \displaystyle \sum_{k=0}^{n-2} (n - k)$

$\implies a_n = \displaystyle n \sum_{k=0}^{n-2} 1 - \sum_{k=0}^{n-2} k$

Recall the formulas

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

It follows that

$a_n = n (n - 2) - \dfrac{(n-2)(n-1)}2$

$\implies a_n = \dfrac12 n^2 + \dfrac12 n - 1$

$\implies \boxed{a_n = \dfrac{(n+2)(n-1)}2}$

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Determine the value for b assuming that the two horizontal lines displayed are parallel.

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Answer:

Step-by-step explanation:

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3 years ago

There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?

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4 buses you just divide 211 by 48

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2 years ago

Sorry for so many problms plz help im super nice and give branleist

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Sorry I could on see these ones. The fractions were a bit hard to see but I hope this helped a bit.

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