ANSWER

EXPLANATION
We want to factor

out of

The first term is already having a factor of

The constant term which is the second term is not having a factor of

so we need to use a trick of multiplying and dividing by the same factor to obtain,

We can now factor

out of the right hand side to obtain,

Let us rewrite the right most fraction using the normal division symbol.

We simplify to obtain,

This further gives us,

a. n-(n - 1) = 1
b. n( n - 1) = n² - n
c. (n - 1) + n = 2n - 1
d. (n - 1) + n = 2n - 1
<h3>Solution:</h3>
General Rule for Equation Solving
- Remove parentheses and combine like terms to simplify each side of the equation.
- To isolate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use multiplication or division.
Given two consecutive numbers , (n - 1) , n
simplifying :
n - (n - 1)
= n -1(n - 1)
= n - n + 1
= 1
multiplying :
n( n -1)
= n² - n
simplifying :
(n-1) + n
= n - 1 + n
= 2n -1
by adding two numbers :
(n - 1) + n
= n -1 + n
= 2n - 1
To learn more about equations refer to :
brainly.com/question/22688504
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Answer:
D
Step-by-step explanation:
Answer:
Both proportions are equivalent.
Step-by-step explanation:
We have been given two proportions
and
. We are asked to find why the solutions to our given proportions are equal.
We can solve proportions by cross multiplying them.
After cross multiplying our both proportions we will get same equation that is:




Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.
Answer:
b) 1.383
d) 2733
f) 41.429
h) 6317
j) 87.889
Step-by-step explanation: