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stealth61 [152]
1 year ago
14

What is the rational expression in simplest form? State any restrictions on the variables.

Mathematics
1 answer:
allochka39001 [22]1 year ago
4 0

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = \frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = \frac{-4}{(x+3)}

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is \frac{-4}{(x+3)}

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

<u>brainly.com/question/1280754</u>

#SPJ4

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Pls help i really need this​
gulaghasi [49]

Answer:

5/7

Step-by-step explanation:

take the basic fact 5 - 3

3 0
3 years ago
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Christopher’s backyard is shaped like a rectangle with a length of 2x + 5 feet and a width of 4x - 7 feet.
Doss [256]

Answer:

8x² + 6x - 35

Step-by-step explanation:

A = (2x + 5)(4x - 7)

Front: 2x * 4x = <em>8x²</em>

Outside: 2x * (-7) = <em>-14x</em>

Inside: 5 * 4x = <em>20x</em>

Last: 5 * -7 = <em>-35</em>

Add up: <em>8x² - 14x + 20x -35</em>

Simplify: 8x² + 6x - 35

8 0
3 years ago
Which pairs of variables have a linear relationship? Select
Neko [114]

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Suppose you are given cube with side length of x units.

Then

Side length = x units

Perimeter = 4x units

Area of 1 face =x^2 square units

Surface area =6x^2 square units

Volume =x^3 cubic units

A linear relationship is any equation that, when graphed, gives you a straight line.

Consider all options:

A. Side length and perimeter of 1 face is a linear relationship, because the graph of the function y=kx is a straight line.

B. Perimeter of 1 face and area of 1 face is not a linear relationship, because the graph of this relationship is a quadratic parabola with equation y=kx^2.

C. Surface area and volume is not a linear relationship, because the graph of this relationship is a curve with equation y=kx^{\frac{3}{2}}.

D. Area of 1 face and surface area is a linear relationship, because the graph of the function y=kx is a straight line.

E. Side length and volume is not a linear relationship, because the graph of this relationship is a cubic parabola with equation y=kx^3.

6 0
3 years ago
Read 2 more answers
What is the length of the diagonal, ddd, of the rectangular prism shown below?
wel

Answer:

7

Step-by-step explanation:

Its 7 because khan academy and i know it

3 0
3 years ago
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The graph of the parent function y = x3rd power is horizontally stretched by a factor of 1/5 and reflected over the y-axis. What
kodGreya [7K]
  • y=x³

Horizontally streched means change in x

So

New equation

  • y=kx³

k is factor

  • y=1/5x³

We know the rule for reflection (x,y)=(x,-y)

So

New function

  • -y=1/5x³
  • y=-1/5x³

Option D

3 0
1 year ago
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