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olchik [2.2K]
3 years ago
13

How to factor10x^2+89x-9

Mathematics
2 answers:
hodyreva [135]3 years ago
7 0

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>⤴</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>:</em><em>)</em>

maks197457 [2]3 years ago
6 0
I hope I helped you with your answer was 21
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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
Owen receives $10 and puts it into his savings account. He adds $0.50 to the account each day for a number of days, dd, after th
tankabanditka [31]

It is the sum of the initial amount and the additional amount after d days



HOPE THIS HELPS!


6 0
3 years ago
Read 2 more answers
Tell whether the system has one solution, infinitely many solutions, or no solution.
nadya68 [22]
X=-7y+34
x+7y=32

To begin with make the two problems the same kind of problem. By adding 7y on both sides for the first problem.
x+7y=34
x+7y=32

So the correct answer would be no solution because it's the same problem and it can't equal to different answers.

8 0
3 years ago
Match each item with the correct statement below. (4 KU)
viva [34]

Answer:

1. F

2. G

3. H

4. E

5. C

6. B

7. A

8. D

Step-by-step explanation:

1. For a horizontal line, this is zero. F. Slope

2. These lines have the same slope.  G Parallel Lines

3. These lines meet at 90°. H Perpendicular Lines

4. This is where two lines meet.  E. Point of Intersection

5. For the line 3 2 6 x y   , this is −3. C. Y-intercept

6. The numbers 10 and 1 /10 are examples.  B Reciprocals

7. This is the name for an equation of a line  in the form Ax By C    0. A. Standard Form

8. For a vertical line, the value of x is constant  and equal to this D. x-intercept

8 0
3 years ago
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
Ratling [72]

Answer:

8. -385°, 335°

9. -30°, 330°

Step-by-step explanation:

8. θ = -25°

-25-360 = -385°

-25+360 = 335°

9. θ = -390°

-390+360 = -30°

-30+360 = 330°

8 0
3 years ago
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