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3 years ago

What is the value of n? N–2=10n+42 Enter your answer in the box. N =

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

$\frac{44}{9}$

Nezavi [6.7K]3 years ago

8 0

Answer:

$n=\frac{-44}{9}$

Step-by-step explanation:

$n-2=10n+42$

Solve the equation for n

To get n alone we combine like terms

Subtract 10n from both sides

$n-2=10n+42$

$n-10n-2=10n-10n+42$

$-9n-2=+42$

Now add 2 on both sides

$-9n=+42+2$

$-9n=44$

Divide both sides by -9

$n=\frac{-44}{9}$

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Which polynomial is equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x)?

<h3><u><em>Answer:</em></u></h3>

The polynomial equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x) is $x^3 + 2x^2 + x + 3$

<h3><u><em>Solution:</em></u></h3>

Given that two polynomials are: $(-3x^2 + 2x - 3)$ and $(x^3 - x^2 + 3x)$

We have to find the result when $(-3x^2 + 2x - 3)$ is subtracted from $(x^3 - x^2 + 3x)$

In basic arithmetic operations,

when "a" is subtracted from "b" , the result is b - a

Similarly,

When $(-3x^2 + 2x - 3)$ is subtracted from $(x^3 - x^2 + 3x)$ , the result is:

$\rightarrow (x^3 - x^2 + 3x) - (-3x^2 + 2x - 3)$

Let us solve the above expression

<em><u>There are two simple rules to remember: </u></em>

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

So the above expression becomes:

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Removing the brackets we get,

$\rightarrow x^3 - x^2 + 3x + 3x^2 -2x + 3$

Combining the like terms,

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