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3 years ago

38. Find the solution(s) to x2 - 3x + 27 = 6x + 7.

Mathematics

1 answer:

Anni [7]3 years ago

7 0

Answer:

x=5,4

Step-by-step explanation:

as u got 2 x to find the value of

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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

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

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

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

4 0

2 years ago

Simplify the expression 11+3(−5+4)

Ghella [55]

Answer:

= 11+3(-1)

= -14

The answer is -14.

Step-by-step explanation:

Please mark me brainliest

7 0

2 years ago

Pls help my its now due in 20 minutes

Hoochie [10]

Answer:

We can't see the equation to answer it

5 0

2 years ago

Read 2 more answers

1) In Tara's math class, each student made up a number pattern for classmates to identify. These are the numbers that Tara wrote

pav-90 [236]

Answer:

TBH its a Link of this its call pdf and it tell yuu all your answer

Step-by-step explanation:

5 0

3 years ago

Square root 2x-1+2=5 what is x equal to?

KATRIN_1 [288]

Because your question isn't specific or formatted exactly, I cannot guarantee that my answer is what you expect.

√2x - 1 + 2 = 5
√(2x + 1)² = 5²
2x + 1 = 25
2x = 24
/2 /2
x = 12

Therefore x = 12.
Proof:

√2x - 1 + 2 = 5
√2(12) - 1 + 2 = 5
  √24 - 1 + 2 = 5
  √25 = 5
5 = 5

8 0

3 years ago