Solve rational Equation

Please Show Full Steps Please!


Solve Rational Equation Please Show Full Steps Please!

Answers

Answer 1

Answer:

x=1

Step-by-step

Step 1:

Simplify x/x2

Dividing exponential expressions :  

1.1    x1 divided by x2 = x(1 - 2) = x(-1) = 1/x1 = 1/

Equation at the end of step 1:

  2    1         1

 (((—+1)-—)-1)-((2•—)-1)  = 0

    x    x         x

STEP 2:Rewriting the whole as an Equivalent Fraction:

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        1     1 • x

   1 =  —  =  —————

        1       x  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 - (x)     2 - x

——— = ———  

   x          x  

Equation at the end of step 2:

2    1     (2-x)

 (((—+1)-—)-1)-—————  = 0

    x    x       x  

STEP 3:

Simplify 1/x

Equation at the end of step 3:

2          1           (2 - x)

 (((— +  1) -  —) -  1) -  ———————  = 0

    x          x              x  

STEP4:

Simplify: 2/x

Equation at the end of step 4:

    2          1                 (2 - x)

 (((— +  1) -  —) -  1) -  ———————  = 0

    x          x                      x  

STEP 5:

Rewriting the whole as an Equivalent Fraction :

5.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        1         1 • x

   1 =  —  =  —————

        1            x  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

2 + x                x + 2

—————  =  —————

  x                       x  

Equation at the end of step 5:

(x + 2)    1                                (2 - x)

 ((——————— -  —) -  1) -  ———————  = 0

      x       x                                  x  

STEP 6:Adding fractions which have a common denominator :

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(x+2) - (1)                            x + 1

———————————  =  —————

     x                                       x

Equation at the end of step 6:

  (x + 1)                           (2 - x)

 (——————— -  1) -  ———————  = 0

     x                               x

STEP 7:

Rewriting the whole as an Equivalent Fraction :

7.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x  as the denominator :

        1     1 • x

   1 =  —  =  —————

        1       x  

Adding fractions that have a common denominator :

7.2       Adding up the two equivalent fractions

(x+1) - (x)                           1

———————————  =  —

     x                                   x

Equation at the end of step 7:

 1       (2 - x)

 — -  ———————  = 0

 x         x

STEP 8:

Adding fractions which have a common denominator :

8.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 - ((2-x))                              x - 1

———————————  =  —————

     x                                     x    

Equation at the end of step 8:

 x - 1

 —————  = 0

   x  

STEP 9:

When a fraction equals zero :

9.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-1

 ——— • x = 0 • x

  x

Now, on the left hand side, the  x  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-1  = 0

.2      Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

One solution was found :

x = 1

   


Related Questions

What is the solution set of the inequality below?
A .y greater than negative 33
B. y less than 33
C. y less than negative 33
D .y greater than 33

Answers

Your answer is C

Step-by-step explanation:

Multiply -33 x 11

B. y less than 33 is the solution set .

Angela uses 7 1/2 inches each of 6 different colors of embroidery floss to make one friendship. Each package of the floss contains 26 feet. How many friendship bracelets can Angela make if she has one package of each color?

Answers

Answer:

She can make 41 bracelets!:D

Answer: сдхдкссахкайсефдуехф84

Step-by-step explanation:

The value of a share of stock decreases in value at a rate of $1.10 per hour during the first 3.5 hours of trading. Enter and solve an equation to find the decrease in the value of the share of stock during that time. Let x represent your variable.

The equation is ??? = 1.10

The decrease in the value of a share during 3.5 hours of trading is $???.

Answers

Answer:

The decrease in the value of a share during 3.5 hours of trading is $3.85.

What is the answer??5(-2)(-1)(2)

Answers

Answer:

-20

Step-by-step explanation:

multiply 5*-2*-1*2

20 is the answer have a good day

The temperature of a freezer is never greater than -2 degrees Celcius. Yesterday the temperature was -10 degrees Celcius, but it increased at a steady rate of 1.5 degrees Celcius per hour. How long in hours and minutes did the temperature increase to -2 degrees Celcius?

WILL PICK BRAINLIEST

Answers

Answer: 8 hours

Step-by-step explanation: Maths bro

8 hours as you’d add 1.5 until you get to -2

WILL CHOOSE BRAINLIEST! If A is (-4,5) and A' is (5,4) what transformation was used?

Answers

Answer:I think it isa 90 degrees clockwise rotation, because theformula for it is (x,y) to (y,-x)

Step-by-step explanation:

i need help with the blank spaces!!

Answers

-9,
35002=-9x+55000 x=2222
0.39
10.74

Which of the angles in the figure are supplementary to Ð5?

Answers

Answer:

Option C) Angle 6 and 7 only

Step-by-step explanation:

Two angles are called supplementary when their measures add up to 180 degrees.

So here the angle supplementary to Angle 5 would be 6, since adding both would get us 180 degrees. Then there's angle 7 which would also give us 180 degrees when added to angle 5.

please answer this asap and please show work.

Answers

So it is C because when you use rise over run, then you just look at the line were the line crosses trough the caskets and then you see that rise is 1 and run is two so it is 1/2 but if you convert the fraction into a decimal, the. It will be 0.5. The b is we’re the line goes trough the y-axis. So y=1/2+4 but you have to convort it into a decimal and it will be C y=0.5x+4. You welcome

A box has p sheets of writing paper and two-thirds as many envelopes. If there are a total of 500 sheets of paper and envelopes together, how many envelopes are there?

Answers

Answer:

333.3333 repeating

Step-by-step explanation:

Divide 500 by 3 then multiply the answer by 2.

ASAP question!
There are four sixth graders and seven seventh-graders in Elsa's chess club. Two members of the club will be chosen at random to attend a tournament with several other chess clubs.
What is the theoretical probability of randomly drawing two sixth graders? What is the theoretical probability of randomly drawing two seventh graders?

Answers

Answer:

2 Six graders: 6/55 chance

2 Seventh graders: 21/55 chance

Step-by-step explanation:

Total: 11 students

6 graders: 4

4/11 for first student and 3/10 for second

4/11 * 3/10 = 12/110 = 6/55

7 graders: 7

7/11 for first student and 6/10 for second

7/11 * 6/10 = 42/110 = 21/55

please help me asap.

Answers

Answer:

a=8.8 kg

b=3.3 kg

c=2.49 kg

Step-by-step explanation:

A=8.8kg
B= 3.3kg
C=2.49kg

A customer must choose a color of wrapping paper and gift box type for gift wrapping at a store. The table shows the customer’s options.

Wrapping Paper Color
red (R)
silver (S)
yellow (Y)

Gift Box Type
regular (G)
premium (P)

Which list shows the complete sample space of choosing a wrapping paper color and gift box for the gift?

A)GR, GS, GP, GY

B)PG, PR, PS, PY

C)RG, RP, RS, SG, SP, YG, YP, YR, YS

D)RG, RP, SG, SP, YG, YP

Answers

Answer:

The answer is D

Step-by-step explanation:

Red-Regular

Red - Premium

Silver-regular

Silver-premium

Yellow-regular

Yellow-Premium.

This all shows the space of choosing the color and gift box for the gift.

Because of the description.

If this answer is right pls give brainlest.

The answer is D.

You’ll match each wrapping color paper to a gift box type once. Meaning,

Red (R) - regular (G)
Red (R) - premium (P)

Silver (S) - regular (G)
Silver (S) - premium (P)

Yellow (Y) - regular (G)
Yellow (Y) - premium (P)

Michael has 26 shirts to fold. Let N be the number of shirts he would have left to fold after folding F them. Write an equation relating N to F . Then use this equation to find the number of shirts he would have left to fold after folding 23 of them.

Answers

Answer:

N = 3 F = 26

Step-by-step explanation:

If there's 26 in total and Michael has folded 3 of them N would be 3. F will be the total after folding 'N' amount left of the clothes!

3. Which two integers are 7 units away from the number 5 on a number line?
A. -2 and 2
B. -2 and 7
C. -7 and 7
D. -2 and 12

Answers

Answer:

2B

3D

Step-by-step explanation:

2A is

a/b + -a/-b = a/b + a/b = 2a/b

this is NOT 0/0. you can't add numerator and denominator. when you have the same denominator, you can only add the numerator.

and don't forget : -×- and -/- are both + !

2B

you do not multiply anything. you ADD (but again NOT the denominators) !

and +×- or +/- = - !

overall this this adding a negative number to the same positive number. the result : always 0

2C

cannot be added like that. first you would have to bring both to a common denominator. but then you ADD !

2D

very similar to 2C.

3

5 + 7 = 12

5 - 6 = -2

these are the 2 integers 7 units away from 5.

The answer is C. -7 and -7

Which situation could NOT represent a proportional relationship?

Answers

Answer: D
Explanation: to find whether two instances are proportional, find the rate of change for each situation. Simply divide both numbers from both situations and if the numbers are not the same they are not proportional.
Yes they are right it is D

write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets. Two solutions: x=2, x=14.

Answers

Answer:

Write the absolute value equations in the form

x−b

=c (where b is a number and c can be either number or an expression) that have the following solution sets.

Chapter Reference

a

Two solutions: x=2, x=14.

Step-by-step explanation:

The absolute value equations in the form |x-b|=c is 6.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Two solutions are x=2 and x=14

Now,

To write an absolute value equation that has these solutions, we need to find a common value of b and c that satisfy the property above. One possible way to do this is to find the midpoint and the distance between the two solutions. The midpoint is the average of the two solutions, and the distance is half of their difference. The midpoint will be the value of b, and the distance will be the value of c.

Using this method, we get:

b = (2 + 14) / 2 = 8

c = (14 - 2) / 2 = 6

Therefore, by the given equation the answer will be 6

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

32Two functions are shown.

What is the rate of change, in simplest form, of the function that has the lesser rate of change?

Answers

Answer:

4/12

Step-by-step explanation:

rate of change formula

f(b) - f(a) / b-a

f (5)- f (1) / 12-0

5-1 / 12-0

4/12

Please answer the question!

Answers

Answer:

62 degrees

Step-by-step explanation:

if they are complementary that means the angles ad up to 90, and all you have to do is subtract 90-28=62 degrees

Answer:

152

Step-by-step explanation:

a complimentary angle are 2 angles that add up to 180. therefore, we can subtract 28 from 180 ang get 152

What is the approximate circumference of a circle with a diameter of 14 inches, rounded to the nearest inch? (Use 3.14 as an approximation of pi.)

Answers

Answer:

44 in.

Step-by-step explanation:

pi = 3.14 (in our case)

circumference = diameter x pi

circ. = 14 x 3.14, which equals to 43.96

round that and you get 44 in.

The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, how many ounces are there in 8 pounds?

128 ounces
144 ounces
160 ounces
176 ounces
PLEASE HELP!!!!!

Answers

Answer:

128 ounces???

Step-by-step explanation:

128 ounces. I believe is the answer

The table shows the amount of gas, in gallons, a truck has left after it is driven at a constant rate for a certain number of hours.

Number of Hours Driven Amount of Gas Left
3
9
4
6
5
3
Which statement is true?


The truck initially has
9
gallons of gas, and each hour
3
gallons of gas are used.

The truck initially has 9 gallons of gas, and each hour 3 gallons of gas are used.

The truck initially has
9
gallons of gas, and each hour
6
gallons of gas are used.

The truck initially has 9 gallons of gas, and each hour 6 gallons of gas are used.

The truck initially has
18
gallons of gas, and each hour
3
gallons of gas are used.

The truck initially has 18 gallons of gas, and each hour 3 gallons of gas are used.

The truck initially has
18
gallons of gas, and each hour
9
gallons of gas are used.

The truck initially has 18 gallons of gas, and each hour 9 gallons of gas are used.

Answers

Answer:

assuming I read this correctly

The truck initially has

18

gallons of gas, and each hour

3

gallons of gas are used.

The truck initially has 18 gallons of gas, and each hour 3 gallons of gas are used.

Step-by-step explanation:

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points)

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3: = -5x/-5=53/-5
Step 4: x = -53/5

Answers

−5x − 25 = 78

Step 1: −5x − 25 − 25 = 78 − 25        WRONG

- 5x - 25 = 78

- 5x - 25 + 25 = 78 + 25

- 5x                  = 103

x = - 103/5

x = - 20,6

Answer:

Step-by-step explanation:

−5x − 25 = 78

Step 1: −5x − 25 − 25 = 78 − 25  <== this is where the error was made.

Step 2: −5x = 53

Step 3: = −5x/−5=53/−5

Step 4: x = −53/5

Right steps:

−5x − 25 = 78

Step 1: −5x − 25 + 25 = 78 + 25

Step 2: −5x = 103

Step 3: −5x/−5 = 103/−5

Step 4: x = 103

Step 1 was where the error was, because she subtracted 15 from both sides instead of adding 15, so they cancelled out.

Hope this helps!

(20 POINTS PLS HELP!!)

Answers

The answer is d good luck

Answer:

D. QY

Step-by-step explanation:

Perpendicular means at a 90 degree angle, and QY is at a 90 degree angle to LD

What is

(\frac{-7c}{p3})^-4[/tex]

without negative exponents

Answers

Can you take a pic of it because it shows as copy and paste

(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?

Answers

200,000+50,000+4,000+400+50+6

Would you mind helping please

Answers

Answer:

So Number 1 is 4

Number 2 is 2

(Not sure about 3)

Number 4 is 54

(Not sure about 5)

Number 6 is

Step-by-step explanation:

Number 1: He needs 5x3 to get 15 balloons, but since he need more than provided, he needs one more pack.

Number 2: He played 2 rounds, and each round got 4 points, 4x2=8.

Number 4: If she had 8x8=64, and subtracted 10, she has 54.

Number 6: So you should make the fractions improper fractions, (fractions that have a numerator thats more than the denominator) so 2 1/4 = 9/4 and 3 1/4 = 13/4 and then multiply 13 x 9= 117 and then 4x4= 16 so you have 117/16 and then when you simplify it you get: 7 5/16

Hope this helps and also for the other questions I think someone else can get those :)

i need help on this! ASAP

Answers

Answer:

-2

Step-by-step explanation:

Good luck! :)

Answer:

A. -2

Step-by-step explanation:

The square root of 256 is 16 and the square root of 324 is 18. 16 - 18 = -2

HELP! GIVING BRAINLIEST IF ANSWERED CORRECTLY AND FOR EACH SECTION!!!
Use the diagram below, if m∠AEC=41°, find each angle measure

Answers

Answer:

[14] 139

[15] 90

[16] 41

[17] 49

[18] 139

[19] 131

Step-by-step explanation:

[14] Since m ∠ CEB is vertical with m ∠ AED = 139

[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree

[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41

Note: vertical angles are angles opposite each other where two lines cross.

[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49

[18] To Find m ∠CEB we have to subtract from m ∠ DEB

180 - 41 = 139

[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41

Then m ∠ AEF =  90 +41=131

~Lenvy~

A company that makes and sells riding lawnmowers determines that the demand for
lawnmowers is () = −/ + How many lawnmowers must be sold to maximize
revenue and what price must be charged for the lawnmowers to maximize revenue?
-use a representation(example step one, step two,
-use verbal explaination explaining each step

Answers

Answer:

2

Step-by-step explanation:

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