All categories

3 years ago

What causes a solution to a rational equation to be an extraneous solution?

Mathematics

2 answers:

LenKa [72]3 years ago

6 0

its B just did the pre test

nika2105 [10]3 years ago

5 0

Answer: If a solution results in zero when subsitituted into the denominator of the equation, the solution is extraneous.

This is because you obtained the solution from a simplified version of the original equation, but you have to check if the solution obtained is a real solution of the original equation

In the case that when you substitute the solution in the original version the denominator becomes zero, this solution must be rejected, because the division by zero is not defined.

You might be interested in

Convert 35 mi/h to kilometers per hour. Round to the nearest tenth. (1 mi = 1.61 km)

PilotLPTM [1.2K]

Answer:

56.35

Step-by-step explanation

Set up the equation as two fraction equaling to each other.

35mi/?km = 1m/1.61km

Then cross multiply and divide.

35 * 1.61 =56.35

56.35 / 1 =56.35

4 0

3 years ago

Please help fr i don’t understand this

Zanzabum

Answer:

Hope that helps!

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the

devlian [24]

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be $\frac{1}{5}$ .

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

As president = $\frac{1}{10}$

Not as president = $1 - \frac{1}{10}$ = $\frac{9}{10}$

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = $\frac{9}{10}*\frac{1}{9}*1$ = $\frac{1}{10}$

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = $\frac{9}{10}$

Probability for not chosen as secretary = $1-\frac{1}{9} = \frac{8}{9}$

Probability to be chosen as treasurer = $\frac{1}{8}$

Probability to be chosen as Treasurer = $\frac{9}{10}*\frac{8}{9}*\frac{1}{8}$ = $\frac{1}{10}$

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

= $\frac{1}{10} +\frac{1}{10} = \frac{1}{5}$

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be $\frac{1}{5}$ .

7 0

3 years ago

Divide use partial quotients 5÷630=

Nimfa-mama [501]

the answer is 126 I swear to god I am not a liar I am smart in math

6 0

3 years ago

Read 2 more answers

There are 7 ushers and 11 technicians helping at the Harper Middle School fall play.

bearhunter [10]

Answer:

<h3>The ratio of technicians to all helpers is 11 : 7, or $\frac{11}{7}$ or 11 to 7.</h3>

Step-by-step explanation:

Given that there are 7 ushers and 11 technicians helping at the Harper Middle School fall play.
Let x be the number of ushers ( or helpers ).
Therefore x=7 helpers.
Let y be the number of technicians.
Therefore y=11 technicians.

<h3>To find the ratio of technicians to all helpers :</h3>

That is to find the ratio of y to x.

We can write the ratio of technicians to all ushers(helpers) as y : x

Which implies that 11 : 7, (since y=11 and x=7)

Or $\frac{11}{7}$ or 11 to 7

<h3>The ratio of technicians to all helpers is 11 : 7, or $\frac{11}{7}$ or 11 to 7</h3>

4 0

4 years ago