Solve rational equation

Please Draw Steps, and show answer please!

Solve Rational Equation Please Draw Steps, And Show Answer Please!

Answers

Answer 1

[tex] \frac{2x}{x + 2} - \frac{x}{ - 1} = 1[/tex]

[tex]⇢ \frac{2x}{x + 2} = 1 + \frac{x}{x - 1} [/tex]

[tex]⇢ \frac{2x}{x + 2} = \frac{(x - 1) + x}{ - 1} [/tex]

[tex] ⇢\frac{2x}{x + 2} = \frac{2x - 1}{x - 1} [/tex]

By, Cross multiplying, we get

[tex]⇢2x(x - 1) = (2x - 1)(x + 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)[/tex]

[tex]⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2[/tex]

Here, [tex]2 {x}^{2} [/tex] from both sides will get cancelled

[tex] ⇢- 2x = 3x - 2[/tex]

[tex]⇢ - 2x - 3x = - 2[/tex]

[tex] ⇢- 5x = - 2[/tex]

[tex] ⇢x = \frac{ - 2}{ - 5} [/tex]

[tex] ⇢ \underline { \boxed{ x = \frac{2}{5} }} [/tex]

Answer 2

Answer:

[tex]x=\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2 x}{x+2}-\frac{x}{x-1}=1[/tex]

[tex]\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}[/tex]

[tex]\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}[/tex]

therefore,

[tex]x=\frac{2}{5}[/tex]


Related Questions

The first three terms of an arithmetic sequence are as follows.

Answers

Answer:

9, 3

Step-by-step explanation:

To get from 27 to 21, you subtract by 6. To get from 21 to 15, you must also subtract by 6. Therefore, subtracting by 6 is the pattern. In order to get the next number in the sequence, we must subtract 6 from 15.

15 - 6 = 9

The next number is 9. To find the number after 9, we must do the same thing - subtract 6 from 9.

9 - 6 = 3

The 5th number of the sequence is 3.

I hope this helps and please mark me as brainliest!

9 , 3
you subtract by 6 each time

PLEASE HELP DUE IN 5 MIN

Answers

1025.
To find the equation, you have to know the slope (5x) and the y intercept (25)
(Formula: y=mx+b) It says the input= x.
So plug 200 for x
5(200)+25=1025

The value of output for value of input of 200 is,

⇒ y = 1025

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The table shows the outputs for several inputs.

Now, We can find the expression for the table as;

Take two points are (0, 25) and (1, 30)

Hence, The equation is,

y - 25 = (30 - 25) / (1 - 0) (x - 0)

y - 25 = 5x

y = 5x + 25

Hence, The value of output for value of input of 200 is,

y = 5 × 200 + 25

y = 1000 + 25

y = 1025

Thus, The value of output for value of input of 200 is,

⇒ y = 1025

Learn more about the mathematical expression visit:

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Rule 1: Subtract 4 starting from 20.
Rule 2: Subtract 3 starting from 20.

What would the coordinate pair be?

Answers

Answer:rule 1  is 16

             rule 2  is 17

Step-by-step explanation:

The first one is 16

The second one is 17

I need help solving this.

Answers

Answer:

0.66

Step-by-step explanation:

4.91 x 10^2

Calculate 10 to the power of 2 and get 100.

4.91×100

Multiply 4.91 and 100 to get 491.

491

7.47×10^2

Calculate 10 to the power of 2 and get 100.

7.47×100

Multiply 7.47 and 100 to get 747.

747

491 divided by 747=0.65729585006693440428380187416332

0.65729585006693440428380187416332 is rounded to 0.66

A lasagna has a mass of 6 pounds. The lasagna is cut into 12 equal pieces What is the mass of each piece in ounces?

A. 8 ounces
B. 10 ounces
C 12 ounces
D 14 ounces

show your work

Answers

The answer is A your welcome
Ik this cause I took the test

I need help with my math homework.


The first one to answer I will mark brainliest. But no spam answering.

Answers

Answer:

4.1 is the height of the smallest doll

I'm not sure for the expression sorry.

Step-by-step explanation:

Answer:

4.1 is the height of the small doll i don't know the expression sorry

Step-by-step explanation:

About 14 weeks ago, there were 42 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 7 weeks.


The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.


How many mold spores are in the garden today?


A. 378

B. 91,854

C. 252

D. 1,134

Answers

Answer b because how it’s formed

Answer:

Im guessing 252 is the answer, 42 mold spores were found 14 weeks ago and each 7 weeks it trples right? so two 7 weeks fit in 14 weeks so we would multiply 42 x 2 and which gives us 84 multiply that by 3 since it triples every 7 weeks. And there's your answer, btw don't take this for granted my math is rusty (':

Please multiply and add the question shown down below.
Then Pick: A, B, C, or D.

Answers

Answer:

1/7 + 2/7 * 1/4 = 3/14, therefore your answer is, B.

Step-by-step explanation:

I added 1/7 and 2/7 then multiplied it by 1/4 and got 3/14!

Answer:

B

Step-by-step explanation:

1/7 + 2/7 x 1/4

Bodmas

1/7 + 2/7 x 1/4

1/7 + 1/7 x 1/2

1/7 + 1/14

LCM = 14

2 + 1 3

--------- = -------

14 14

If you are NOT beinggreat78, DO NOT ANSWER THIS. Beinggreat still answer this fast though bc ppl are mean

Answers

Answer:

[tex]Here~I~am![/tex]

That is true, those ways listed are the three ways to write a ratio.

Find the perimeter and area of the shaded figure below.

Answers

perimiter 10
area 6
Perimeter - 10 units
Area - 6

Explanation: Perimeter: 2 + 3 + 2 + 3 = 10
Area: 2*3 = 6

State the reason why MN = LK.

Given:

KLMN is a parallelogram.

Answers

Answer:

MN = LK because there both parallel.

Step-by-step explanation:

Since there parallel and the shape has equal sides, then those two lines are the same.

According to parallelogram's property, sides MN and LK are equal in parallelogram KLMN.

What is parallelogram?

In a parallelogram, the two sets of opposite sides are parallel and equal. It is a unique kind of quadrilateral.

The given parallelogram is KLMN,

According to parallelogram definition,

Opposite sides of any parallelogram are parallel and equal,

In parallelogram KLMN, sides MN and LK are apposite,

Therefore, sides will be parallel and equal.

Thus, sides MN and LK are equal.

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A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.

What does the second bin represent?

Select from the drop-down menu to correctly complete the statement.

Sixteen pumpkins weigh
A. more than 2.4 pounds but less than 4.8 pounds
B. more than 2.4 pounds but no more than 4.8 pounds
C. at least 2.4 pounds but no more than 4.8 pounds
D. at least 2.4 pounds but less than 4.8 pounds

Answers

The correct option regarding the representation of the second bin on the histogram is given by:

D. at least 2.4 pounds but less than 4.8 pounds.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.The intervals are closed on the left and open on the right.

According to the second bullet point, the second bin represents measures of at least 2.4 pounds but less than 4.8 pounds, hence option D is correct.

More can be learned about histograms at https://brainly.com/question/25836450

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Answer:

the answer is D

Step-by-step explanation:

PLEASE HELP
1# Which graph shows the number of 3-point field goals Aspen could have made in the game

2# Riley read 36 pages of a book before putting it down for a month she wants to resume reading the book that is more than 480 pages long she plans on finishing the book in 12 days reading the same amount each day which inequality can be used to determine P, the number of pages that Riley must read each day to attain her goal

The first Screenshot is for 1# and the second Screenshot is for 2#

Answers

Answer:12p+36>480

Step-by-step explanation: I got the answer somewhere else but I’m not 100% sure if it’s right

I need help on this I cant figure it out..

Answers

Answer:

15

Step-by-step explanation:

(1/6) of 18

= (1/6)×18

= 3

18-3

=15

Answer:

15

Step-by-step explanation:

We have been told:

Alex made 18 free throws Quinn made 1/6 less than that

Therefore, to find the number of throws Quinn made, we need to find 1/6 of 18, then subtract this from 18 (the number of throws Alex made).

[tex]\begin{aligned}\sf \dfrac16\:of\:18 &=\sf \dfrac16 \times 18\\\\ & = \sf \dfrac{1 \times 18}{6}\\\\ & = \sf\dfrac{18}{6}\\\\ & =\sf18 \div 6\\\\ & =\sf3\end{aligned}[/tex]

Now we have calculated 1/6 of 18, we can subtract it from 18 to find the number of throws Quinn made:

⇒ Number of throws Quinn made = 18 - 3 = 15

The upper-left coordinates on a rectangle are (−4,4), and the upper-right coordinates are (4,4). The rectangle has a perimeter of 20 units.

Draw the rectangle on the coordinate plane.

(If you could please graph this as a coordinate plane and not numbers)

Answers

Answer:

(4,2) and (-4,2)

Step-by-step explanation:

You can see that we have 2 points, which means we have 2 sides of the rectangle. The length of that side is 8. we know that a rectangle has 2 sets of parallel sides, and that they have 2 sets of equal sides. We now know that there are 2 sides with side lengths equaling 16, which we then subtract from 20. We get 4, which we then divide by 2 because there will be 2 more sides. We then move 2 down from both points and take the point which we get from that, which is (4,2) and (-4,2).

Hope This Helps! :) Please give Brainliest if this helped you!

Answer:

Move 3 spaces to the left and 7 up hope this helps

Step-by-step explanation:

15) Joe had 1 /4 of an acre of land. He wanted to plant 3 different types of vegetables in equal amounts of space. How much land will he use for each type of vegetable?

Answers

Answer:

1/12 land would be used for each type of vegetable

Step-by-step explanation:

First, Joe has 1/4 of an acre of land and 3 different types of plants he wants to plant for equal distance within that area. To find out the land he will use for each type of vegetable you must divide 1/4 by 3

The simplest way to divide fractions is to use cross multiplication

1         1        1

_   x   _  =    _

4        3       12

Therefore 1/12 of an acre is the amount of land he will use for each type of vegetable.

To check this just multiply 1/12 by 3 giving you 3/12 which can be simplified back into 1/4

1/12 should be the correct answer

PLS PLS PLS PLS HELP!!!!
What's 2+2???
CORRECT ANSWER=BRAINLIEST

Answers

Answer:

4

Step-by-step explanation:

By adding (+ / Plus) 2 and 2 together, like II + II, you get IIII. Otherwise, 4. Or "Four" as a word. You pronounce it just like you say "For" as in "For you". "Four" and "For" mean different things, but sound the same when said. Hope this helped! (lol i know this is a joke question)

The point B is at the centre of the circle.
The points P and Q are on the circumference of the circle.
Calculate the area of the shaded sector.
take π to be 3.142 in your working.
Give your final answer to 1dp

Answers

Answer:

24.7

Step-by-step explanation:

Calculation of the area of the shaded sector is 24.7:

Since

Line PQ = 5.413590865cm

BQ = 9cm

Now

cos(x) = 0.8190928022

x = 35.00591739˚

Now finally the

Area of sector = 24.7cm^2

So point B is at the centre of the circle, making the area of the shaded sector to be 24.7 .

(PLSS HELP FAST!!) Which parallelograms below have the same area?

Answers

Answer:

I, II, IV

Step-by-step explanation:

Same base and height so same area. or with I the base and height calculate to the same area

Answer:

Parallelograms two and four

Step-by-step explanation:

the area of a parallelogram is base times height or bh.  Count each unit and solve.

Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.

Answers

Answer:

There is a positive correlation happening.

Step-by-step explanation:

A positive correlation happens when both of the sequences are going up. In the first sequence, the terms go up by 2. In the second one, the terms go up by 1. While the do not have the same common difference, the two sequences still increase. This makes the relationship a positive one.

-------------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

Answer:

2,4,6,8,10 You multiply by 2 each time

1,2,3,4,5 You add 1 each time

Step-by-step explanation:

You multiply 2 and you add 1

I dont get dis pls help

Answers

Answer:

I won't give you the answer since you didn't ask for it but:

Step-by-step explanation:

to find the theoretical probability of whatever, you must add up all the values in the table then put the whatever value that the question is talking about on top of the sum of all the values. you must then change your fraction to either a decimal then to percent, or if you don't want to you can just change it directly to a percent. I hope this helps

Yvette spins the following spinner 35 times. How many times should she expect it to land on 4?

Answers

7 because there is a 1/5 chance and 7*5=35

what is the answer to this i am confused

Answers

Answer:

the answer is 313

Step-by-step explanation:

if you add the number of the names your talking about and then subtract them you get 313

Answer:

313

Step-by-step explanation:

791-1104 =313

WILL CHOOSE BRAINILEST!!! Find the midpoint of the line segment CD if C=(1,0) and D=(-7,2)

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad D(\stackrel{x_2}{-7}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -7 + 1}{2}~~~ ,~~~ \cfrac{ 2 + 0}{2} \right)\implies \left(\cfrac{-6}{2}~~,~~\cfrac{2}{2} \right)\implies (-3~~,~~1)[/tex]

Answer:

Midpoint: (-0.5, -1)

Step-by-step explanation:

Solution: M=([tex]x m[/tex],[tex]ym[/tex])/2 or ([tex]x[/tex]+[tex]x[/tex]/2, [tex]y[/tex]+[tex]y[/tex]/2)

add the first [tex]x[/tex] coordinate plus the second [tex]x[/tex] coordinate

do the same for the two [tex]y[/tex] coordinates

then divide them both by 2

should look something like this: (1+0 /2, -7+2 /2)

[tex]x[/tex]= 1+0= 1 / 2 + 0.5 or one half 1/2

[tex]y[/tex]= -7+2= -5 / 2 = -2.5 or four one half -2 1/2

BUT we are not done here, since we cant divide 1/2 no more because it will still give us the same answer (0.5) we move into the next number, -2 1/2, -2 x 1/2 = -1

So our answer is (-0.5, -1)

hoped it helped! <3

Answer ASAP! but only if you know 100%, and whoever gets it right can have brainliest
beinggreat78, please confirm or answer this question

Answers

hey there! to find the area of a circle all you need is the radius!

the formula is: A = π r²
by plugging in the value(s) we were given, 28.274 is your final answer.

Kira has to carry 170 apples from a farm to the market. How many baskets will she need, given that each basket can hold 46 apples?

Answers

Answer:

4 baskets

Step-by-step explanation:

Since 170 divided by 46 equals 3 with a remainder of 32, you use the remainder,32, and change it to one more basket so 3+1=4 so Kira needs 4 baskets.

Answer:

Kira will require exactly four baskets.

Step-by-step explanation:

The given information we know is..

- Kira is responsible for transporting 170 apples from a farm to the market.

- Each basket has a capacity of 46 apples.

We must divide 170 apples by 46 apples in order to solve this problem.

170/46 ( When I use the / symbol, it indicates to divide.)

170/46 = 3.69565217391

We'll have to round it up because we can't actually accept 3.69 bags. So the answer is 4 baskets.

Kira will need approximately 4 baskets.

Hope this helps! :D

The price of an item has been reduced by $8.72. The original price was $45.39. What is the price now?

Answers

Answer:

36.67 dollars

Step-by-step explanation:

45.49 - 8.72 = 36.67

Subtraction :)

Hope this helps.

36.67
45.49-8.72=36.67

[tex]9(5x + 1)[/tex] ÷ [tex]3y[/tex]
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)

Please give me the correct answers with a short or long explanation covering it all. Thank you!! :)

Answers

Answer:

5+1=6x9=54/3=18

Step-by-step explanation:

how this helps! :)

Write the rule for the translation below. Draw to show your thinking

Answers

Answer:

(x-10, y+9)

Step-by-step explanation:

Count how many spaces vertex D moves to be at the same x-level as vertex D'. Then do the same for the y-level. Write the rule for translation in (x+/-, y+/-)

Can someone help me with this pls

Answers

Answer:

33.8

Step-by-step explanation:

1) Use Phythagoras theorem to get RS ↓

[tex]9.1 ^{2} + 6 ^{2} = 118.81 \\ \sqrt{118.81 } = 10.9[/tex]

2) RS = RQ

therefore, to get the perimeter, you'll have to total up the sides of the triangle ↓

[tex]rs + rq +qt + ts \\ = 10.9 + 10.9 + 6 + 6 \\ = 33.8[/tex]

Hope this helps =)

Answer:

33.8

**Brainliest would be appreciated**

Step-by-step explanation:

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