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snow_lady [41]
4 years ago
11

How can rational expressions be rewritten in a simplified form?

Mathematics
2 answers:
lubasha [3.4K]4 years ago
3 0
<span>Rational Expressions can be rewritten in a simplified form by canceling off any common numerical or variable factors.

Hope it helped : )</span>
Vinvika [58]4 years ago
3 0

Answer:

A rational expression is a quotient between two polynomials. To write them in a simplified way, you can search the roots of the functions and see if you can cancel any part of the expression of the numerator with one of the denominator.

Step-by-step explanation:

In other words, functions are factored to see if there are coindicent roots that can be canceled, here is an example:

f(x)=\frac{x^{2} -4}{x^{2} -3x+2} =\frac{(x+2)(x-2)}{(x-1)(x-2)} =\frac{x+2}{x-1}

In this example, we can cancel the term (x-2), because it is both in the numerator and in the denominator. In this way we get a simplified expression.

You might be interested in
Cant find the answer
dedylja [7]

Answer:

Carter family = 25 hours

Davis family = 31 hours

Step-by-step explanation:

Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.

So combined:

x + y = 45 hours

and we are also told that:

40x + 15y = 1300 L

So we can do simultaneous equations to solve the problem.

With some rearranging, we can figure out that:

y= 45 - x

and by substituting that into the second equation:

40x + 15 (45 -x) = 40x + 675 - 15x = 1300L

25x = 1300 - 675

25x = 625

x = 25 = hours that the Carter family used their sprinkler

and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:

25 + y = 56

y = 31

The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.

7 0
2 years ago
20/60+15/60=35/60&gt;<br> What dose it equal
stepladder [879]

Answer:

\dfrac{7}{12}

Step-by-step explanation:

1. Find the Greatest Common Factor of the numerator and denominator.

The prime factors of 35 are             <u>5</u>,     7,                              35  

The prime factors of 60 are 2, 3, 4, <u>5</u>, 6,     10, 12, 15, 20, 30,      60

The only common factor of 35 and 60 is 5.

2. Divide the numerator and denominator by the Greatest Common Factor.

\dfrac{35}{60} = \mathbf{\dfrac{7}{12}}

8 0
4 years ago
What is the number written in standard form :six million , seven hundred thousand,twenty
Luda [366]
It would be 670.002*10^4

4 0
4 years ago
Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.
maks197457 [2]
Your equivalent expression would be (1+0.06)15=A.
6 0
3 years ago
Read 2 more answers
Use the situation below to complete the table and answer the questions,
Amiraneli [1.4K]

Answer:

t = 13

Step-by-step explanation:

3 months ------ 4500

6 months ------ x

3/6 = 4500/x

cross multiplation:

3x =27000

x = 9000,or we should have just doubled the wages, since the time doubled

3 months ------ 4500

5 months ------ y

3/5 = 4500/y

3y = 22500

y = 7500

3 months ------- 4500

t months -------- 19500

3/t = 4500/19500 = 3/13

3t = 39

t = 13

5 0
3 years ago
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