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3 years ago

Simplify completely'''

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

6 0

Answer:

$\displaystyle \frac{x + 2}{x - 1}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}$
[Fraction] Factor denominator: $\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}$
[Fraction] Divide: $\displaystyle \frac{x + 2}{x - 1}$

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Can anyone get this answer

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3 years ago

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creativ13 [48]

Answer: -9n+20

This is the same as 20-9n

================================================

Explanation:

The jump from 11 to 2 is "minus 9"

The jump from 2 to -7 is also "minus 9".

Assuming this pattern continues on, we have an arithmetic sequence with

a = 11 = first term
d = -9 = common difference

The nth term can be found like so

$a_n = a + d(n-1)\\\\a_n = 11 + (-9)(n-1)\\\\a_n = 11 -9n + 9\\\\a_n = -9n+20\\\\$

Let's check the answer by trying n = 3

$a_n = -9n+20\\\\a_3 = -9*3+20\\\\a_3 = -27+20\\\\a_3 = -7\\\\$

This shows the third term is -7, which matches what the original sequence shows. The answer is partially confirmed. I'll let you check the other values of n. You should get 11 when trying n = 1, and you should get 2 when trying n = 2.

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Simplify completely'''​

Simplify completely'''