3 years ago

CAN YOU ALSO HELP ME WITH THIS: 2x/4 + 3/8 = x/ 16- 3/2

Mathematics

1 answer:

Svetach [21]3 years ago

3 0

Answer: x = − 30 7 Decimal Form : x = − 4. ¯¯¯¯¯¯¯¯¯¯¯¯ 285714 Mixed Number Form : x = − 4 2 7

Step-by-step explanation:

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Use the functions f(x)=7x3−3x2−x+14 f x = 7 x 3 - 3 x 2 - x + 14 and g(x)=2x3+2x+5 g x = 2 x 3 + 2 x + 5 as examples to show tha

Aneli [31]

Answer:

<h3>The given set of polynomials f(x) and g(x) are closed under subtraction.</h3>

Step-by-step explanation:

Given that the functions f ad g are defined by

$f(x)=7x^3-3x^2-x+14$ and $g(x)=2x^3+2x+5$ respectively.

<h3>To show that the set of polynomials is closed under subtraction :</h3>

Now subtract the given polynomials

$f(x)-g(x)=(f-g)(x)$

$=7x^3-3x^2-x+14-(2x^3+2x+5)$

$=7x^3-3x^2-x+14-2x^3-2x-5$

$=5x^3-3x^2-3x+9$

∴ $f(x)-g(x)=5x^3-3x^2-3x+9$

When subtracting the polynomials the variables and their exponents remains same only variation in their coefficients.

<h3>Hence the given polynomials f(x) and g(x) are closed under subtraction.</h3>

∴ $f(x)-g(x)=5x^3-3x^2-3x+9$ are closed under subtraction,

Hence showed.

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3 years ago