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2 years ago

B) Michael has $0 in his account but makes a purchase and overdrafts his account by $75

Mathematics

1 answer:

kap26 [50]2 years ago

7 0

Answer:

I do not see a question here

Step-by-step explanation:

Pls add your question

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Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

#learnwithBrainly

5 0

2 years ago

oshua is planning the awards breakfast for the freshman class. The catering company charges a $350 fee for the rental materials,

S_A_V [24]

Firsly remove the $350
$625-$350=$275
Each person is $6,so divide that from $275
275/6=45R5
The remaining $5 cannot be used to pay for another person,so we leave it as extras.
Therfore,45 people were at the the party.

4 0

2 years ago

You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 250,823. Its current populatio

Tanzania [10]

Answer:

I just answered it

Step-by-step explanation:

6 0

2 years ago

Scott likes to run long distances. He can run 20 km in 85 minutes. He wants to know how many minutes (m) it will take him to run

gtnhenbr [62]

You wanna
divide 85 and 52
because he can run 20 KM in 85 min
and he wants to see how long it takes him to run 52 KM
So the first one is correct

4 0

2 years ago

Which transformation produces another triangle that has the same area as the one shown?

son4ous [18]

Answer:

Step-by-step explanation:

8 0

2 years ago