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Mekhanik [1.2K]
3 years ago
7

Please hurry and answer both the questions

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

What ever you have learned

Step-by-step explanation:

Its like a working machine like for ex any vending machine

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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:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

5 0
3 years ago
Jacob made a banner for a sporting event in the shape of a parallelogram the area of the banner is 127 1/2 square centimeters th
Firlakuza [10]
For a parallelogram, the area is calculated by the equation,
                                            A = bh
where A is area, b is base, and h is height. From this equation, we can solve for the base of the banner by dividing the area by the height. 
                        base of the banner = 127.5 cm² / 4.25 cm
                         base of the banner = 30 cm
Thus, the measure of the base of the banner is equal to 30 cm. 
8 0
3 years ago
Joe tracked the height of his Dalmatian puppy from age 13 weeks to 25 weeks. He graphed the data and determined the line of best
nadya68 [22]

Answer:

22.5 weeks

Step-by-step explanation:

y = 1.12x + 28.78 represents the height of the puppy.  Here that height is 54 cm:

Then 54 = y = 1.12x + 28.78

Combining the constants, we get 1.12x = 25.22.  Dividing both sides by 1.12, x turns out to be 22.5 weeks.

3 0
3 years ago
Of the 20 students in Emily's class 15 like chocolate cake and the rest like cheesecake how many like cheesecake and what percen
alisha [4.7K]
5 students like cheesecake because if there is 20 students in all and 15 like chocolate and the rest like cheesecake you do 20-15=5

If 5 students like cheesecake out of 20 it would be 5/20 20*5=100 just multiply by 5 5*5=25%


25% of students like cheesecake 
4 0
3 years ago
Read 2 more answers
Which ratio is equivalent to 2/5 with greater terms
Dominik [7]
1.2 I’m so sorry if it’s wrong.
8 0
3 years ago
Read 2 more answers
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