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nevsk [136]
3 years ago
12

Explain how you know which method you should use to solve a rational equation.

Mathematics
1 answer:
notsponge [240]3 years ago
7 0

<u>Methods to solve rational equation:</u>

Rational equation:

A rational equation is an equation containing at least one rational expression.

Method 1:

The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.

For example,

\frac{1}{2}=\frac{x}{2}\Rightarrow x=1

This can be used for rational equations with polynomials too.

For example,

\frac{1+x}{x-3}=\frac{4}{x-3}\Rightarrow(1+x)=4 \Rightarrow x=3

When the terms in a rational equation have unlike denominators, solving the equation will be as follows

\frac{x+2}{8}=\frac{3}{4}

\Rightarrow\frac{x+2}{1}=\frac{3\times8}{4}\Rightarrow{x+2}=2\times3

\Rightarrow{x+2}=6\Rightarrow x=6-2\Rightarrow x=4

Method 2:

Another way of solving the above equation is by finding least common denominator (LCD)

\frac{x+2}{8}=\frac{3}{4}

Factors of 4: 1\times2\times2

Factors of 8: 1\times2\times2\times2

The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,

\Rightarrow\frac{x+2}{8}=\frac{3}{4}\times{2}{2}

we get,

\Rightarrow\frac{x+2}{8}=\frac{6}{8}

On cancelling 8 on both sides we get,

\Rightarrow(x+2)=6\rightarrow x=6-2\rightarrow x=4

Hence, these are the ways to solve a rational equation.

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pentagon [3]
Y+2=-3/4(x+1)
y+2=-3x/4 -3/4
y=-3x/4 - 3/4 - 2
y = -3x/4 - 3/4 - 8/4
y = -3x/4 - 11/4
7 0
3 years ago
At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the pro
Ber [7]

Answer :

0.53

Step-by-step explanation:

Given the following :

Probability of female = probability of success on a single trial = 0.51

Number of babies = 80

Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)

The problem can be solved using the binomial probability function :

P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]

In other to save computation time, we can use the binomial probability calculator

Hence ; P(X > 40) = 0.527 = 0.53

6 0
3 years ago
Pleaseeeeee helpppppp 3^5/3^-4
Nataly_w [17]
I got 19,683. I hope this helps.

6 0
3 years ago
1. Clare has $150 in her bank account. She buys a bike for $200. What is Clare's account
marshall27 [118]

Answer: -50

Step-by-step explanation:

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3 years ago
1. The graph shows the height of a plant after a certain amount of time measured in days.
kirza4 [7]
Wow this is a lot I am so sorry anyone smart hasn’t answered this yet cause I really do know the answer to this
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