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4 years ago

Are a rational expression and its simplified forms equivalent? Provide mathematical examples to support your opinions.

1 answer:

7 0

Yes rational expression and its simplified forms are equivalent.

Rational expression are those that contain fractions.

Example:
25/50 is a rational expression but it is not yet in its simplest form.

25/50 ⇒ 5/10 ⇒ 1/2

1/2 is the simplest form of 25/50.

They are equivalent:

1/2 = 25/50
1*50 = 2*25
50 = 50

or
1/2 = 0.50
25/50 = 0.50

You might be interested in

How many extraneous solutions does the equation below have?

FrozenT [24]

Answer

Explanation

(2m)/(2m+3)-(2m)/(2m-3)=1

Simplifying the left hand first

(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)

(4m²-6m-4m²-6m)/(4m²-9)

= (-12m) / (4m²-9)

Now this equet to 1

(-12m) / (4m²-9) = 1

-12m = 4m²-9

4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.

4m²+ 12m -9 =0

m² + 3m + (3/2)²= 9/4 + 9/4

(m + 3/2)² = 18/4

m = √18/2 - 3/2 or m = -√18/2 - 3/2

= 0.621 = -3.621

So we can say that the equation has NO extraneous solutions.

Answer = 0

8 0

3 years ago

Read 2 more answers

A poster board was cut into equal pieces, and 3 pieces were used for

AnnyKZ [126]

Answer: 8. There were 11 pieces and 3 were used, so 8 are left.

5 0

3 years ago

Answer this fast will mark brainlist for sure answer the question whichever u know :)

Kay [80]

Answer:

$\large\boxed{1.\ 38\ and\ 22}\\\boxed{1'.\ 42\ and\ 30}$

Step-by-step explanation:

$1.\\x,\ y-the\ numbers\ (x>y)\\\\\text{We have the system of equations:}\\\\\underline{\left\{\begin{array}{ccc}x-y=16\\x+y=60\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=76\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=38}\\\\\text{Put the value of x to the second equation.}\\\\38+y=60\qquad\text{subtract 38 from both sides}\\\boxed{y=22}$

$1'.\\x-larger\ part\\x-12-smaller\ page\\\\x+(x-12)=72\\x+x-12=72\qquad\text{add 12 to both sides}\\2x=84\qquad\text{divide both sides by 2}\\\boxed{x=42}\\\boxed{x-12=30}$

6 0

3 years ago

Find the value of the expression: a. 3x^0 for x=2.6, b. 10a^2b^0 for a=–3, b=–8

nekit [7.7K]

Step-by-step explanation:

For x = 2,6

$= 3{x}^{0}$

$= 3 \times {2,6}^{0}$

$= 3 \times1$

$= 3$

$\:$

For a = -3 and b = -8

$= 10 \times {a}^{2} \times {b}^{0}$

$= 10 \times {( - 3)}^{2} \times {( - 8)}^{0}$

$= 10 \times 9 \times 1$

$= 90$

3 0

3 years ago

5. A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the d

vredina [299]

Okay so all you have to do is find the Area of each shape, then add them together. Starting with the square. Your formula is A=s4 All you have to do is plug in your number. A=26(4) Now solve. A=104. Now we have to find the area of a semicircle. Your formula is ((3.14)r squared)(.5) To find the radius (r) you divide the diameter by 2, so 26/2=13 Now all you have to do is plug in your numbers. (3.14)(13 squared)(.5) (3.14)(169)(.5)
(530.66)(.5) Your final answer is: 265.33 inches squared

7 0

3 years ago

Read 2 more answers