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siniylev [52]
1 year ago
5

Which domain restrictions apply to this rational expression? x2 4x 4x2−4 select each correct answer.

Mathematics
1 answer:
rosijanka [135]1 year ago
7 0

Because domain restrictions apply to this rational expression, x cannot be equal to {-2, 2}.

<h3>What is domain?</h3>

Domain restrictions are any points in the domain where the function will not have a value. This basically means that there is a point in the function where x will not work.

For the numerator, any value of x will suffice. We can have a value of 0 in the numerator, or a positive, negative, or decimal number.

However, the denominator cannot be equal to zero. This is due to the fact that a fraction bar represents division, and we cannot divide by zero.

Here,

x²-4=0

Add 4 to both sides:

x²-4+4 = 0+4

x² = 4

Take the square root of both sides:

√x² = √4

x = 2 or x = -2

The x cannot be equal to {-2, 2} as domain restrictions apply to this rational expression.

To know more about domain,

brainly.com/question/10238709

#SPJ4

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Elena-2011 [213]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
ratelena [41]

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to <u>negative</u> three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

3 0
2 years ago
What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show
jarptica [38.1K]

The remainder of the polynomial equation is -49

<h3>What is a remainder of a polynomial equation?</h3>

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

\mathbf{= \dfrac{5x^3+7x+5}{x+2} }

Using the long division method, we have:

\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}

Divide by \mathbf{ \dfrac{-10x^2+7x+5}{x+2}}, we have:

\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}

Divide by \mathbf{\dfrac{27x+5}{x+2}}, we have:

\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}

Learn more about finding the remainder of a polynomial equation here:

brainly.com/question/24978997

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4 0
1 year ago
Simplify. (x−3)( x^2−4x−7)
Shkiper50 [21]

Answer:

Simplification of the expression (x−3)( x^2−4x−7) is x³ -7x² + 5x + 21 .

Step-by-step explanation:

As the expression given in the question be as follow .

=  (x−3)( x²−4x−7)

simplify the above

= x (x²-4x-7)-3 (x²-4x-7)

Now open the bracket

= x³ - 4x² -7x - 3x² + 12x + 21

= x³- 4x²-3x²-7x + 12x + 21

= x³ -7x² + 5x + 21

Thus the simplification of the expression (x−3)( x^2−4x−7) is x³ -7x² + 5x + 21 .

5 0
2 years ago
Read 2 more answers
84: 7<br> B<br> Reducing ratios
MAXImum [283]

Answer:

84: 7 would reduce to 12:1 or 12

Step-by-step explanation:

See, if you divide 84 by 7, you'd get 12. (Hope this help, I guess :>)

7 0
3 years ago
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