1-x/1+x=2x+1/-2x+5 find x

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Given

[tex]\frac{1-x}{1+x}[/tex] = [tex]\frac{2x+1}{-2x+5}[/tex] ( cross- multiply )

(2x + 1)(1 + x) = (1 - x)(- 2x + 5) ← expand parenthesis on both sides using FOIL

2x + 2x² + 1 + x = - 2x + 5 + 2x² - 5x , simplify

2x² + 3x + 1 = 2x² - 7x + 5 ( subtract 2x² from both sides )

3x + 1 = - 7x + 5 ( add 7x to both sides )

10x + 1 = 5 ( subtract 1 from both sides )

10x = 4 ( divide both sides by 10 )

x = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]

Answer 2

Answer:

 x = 2/5

Step-by-step explanation:

[tex]\frac{1-x}{1+x}=\frac{2x+1}{-2x+5}[/tex]

Cross multiply,

(1 - x)(-2x + 5) = (2x +1)(1 + x)

Use FOIL method to multiply,

1*(-2x) + 1*5  - 2x *(-x) + 5*(-x) =2x *1  + 2x *x  + 1*1 + 1*x

             -2x + 5  + 2x² -5x    = 2x + 2x² + 1 + x

Combine like terms,

              -2x - 5x + 2x² + 5 = 2x² + 2x +x  + 1

                      -7x + 2x² + 5 = 2x² + 3x + 1

           -7x + 2x²  - 2x² - 3x  = 1 -  5

                             -7x - 3x    = - 4

                                       -10x = -4

                                          x = -4/-10

                                          x = 2/5


Related Questions

given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?

Answers

Answers:

x = 4

RM = 7

======================================================

Explanation:

The midpoint cuts the larger segment RS in two equal halves, so RM = MS

RM = MS

x+3 = 2x-1

3+1 = 2x-x

4 = x

x = 4

RM = x+3

RM = 4+3

RM = 7

MS = 2x-1

MS = 2*4-1

MS = 7

Both RM and MS are 7 units long, which confirms our answers.

RS = RM+MS

RS = 7+7

RS = 14

which is the graph of the exponential function y=8(5)^x?

Answers

Answer:

y=8(5)^(x)

Step-by-step explanation:

Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16

Answers

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

I need 15. please its my last question and fast​

Answers

Answer: X(to the power of 0) over 3(to the power of 2)



Explanation: It is equal to 1/9

Factorise x^2-10
I need help

Answers

Answer:

This expression is not factorable with rational numbers.

what is the slope of the line -3 -1/3​

Answers

Answer:

negative slope

Step-by-step explanation:

in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
Answers:
A: 20%
B: 35%
C: 14%
D: 30%

Answers

i think b but idek know
C definitely c can’t see why not

Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?

Answers

Answer: 2:100

Step-by-step explanation:

please help i don’t know how to find the slope

Answers

Y= mx+b is the formula for writing and equation for slope.


M= slope
B= y-intercept

You replace the m and b with the info given to you in the problem.

Answer: y = -3/4x -6

19. Find the perimeter of a triangle if the side lengths are 3 1/2 ft, 5 2/3 ft,
and 4 1/6 ft.

Answers

Answer: 13 1/3

Step 1: Find the LCD

Step 2: Add the fractions

Step 3: Simplify

Please show all work

Answers

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers

Answers

220 papers

176 + 43 = 219
219 is closest to 220

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

55 = 18 +0.004x
What is x

Answers

55=18+0.004x
37=0.004x
9250=x

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!

Answers

Answer: 1,045,440,000

Explanation:

1 mile = 5280 feet

55 x 5280 = 290400

290400 x 60 = 17424000

17424000 x 60 = 1045440000

3 words. Get. A. Caluculator.

Lol I hope this helps!

Answer:

80.67 ft/sec

Step-by-step explanation:

Mile to feet

1 mi = 5280 feet

Hour to seconds

1 hr = 60 min = 60*60 sec =3600 sec

Speed of the car

55 mi/hr = 55*5280 ft / 3600 sec = 80.67 ft/sec rounded to two decimal places

How do I solve for pie?​

Answers

Pi is a unlimited number but when used in most math equations they just mean it simplified which is 3.14.

1.) Solve for c:
4c + 5 > -c-5

Answers

Answer:

Step-by-step explanation:

If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°

Answers

288• Jesus loves you and so do I, accept him in you heart

Plz answer I need help my teacher doesn't explain things good

Answers

270 is most probably the answer

Who know this for my other math these plz

Answers

Answer:

7. c

8. d

9. c

10. c

11. b

12. d

13. c

Answer:

7. C: 80

8. D: 100

9. C: 80

Step-by-step explanation:

each line equals 180

where H is at, has a 100 above it.

that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.

you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff

What is T?
3/8=t-1/8

Answers

Answer:

t = 0.5

Step-by-step explanation:

sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open

In 2005, the UT Longhorns scored 15 times to win the Big 12 Championship Game 70-3. All of their points came from touchdowns (6 points each) and extra point kicks (1 point each). How many touchdowns and extra points did the Longhorns have in that game? (For the purposes of this problem, touchdowns and extra point kicks count as separate "scores".

Answers

Answer:

The number of touch downs = 11

The number of extra points = 4

Step-by-step explanation:

The number of times UT Longhorns scored = 15 times

The composition of the scores = Touch down and point kicks

The points with which UT Longhorns won the game = 70-3

The points that came from each touch down = 6 points

The points that came from each point kick = 1 points

We have;

The number of touch downs + Point kicks = 15

The number of touch downs = 15 - Point kicks

Let the number of point kicks = P

Therefore;

The number of touch downs = 15 - Point kicks = 15 - P

The number of touch downs = 15 - P

Given that the total points of UT Longhorns = 70, we have;

6 × (15 - P) + 1 × P = 70

90 - 6·P + P = 70

5·P = 90 - 70 = 20

P = 4

∴ The number of point kicks = P = 4

The number of point kicks, extra points = 4

The number of touch downs = 15 - P = 15 - 4 = 11

The number of touch downs = 11

f(x) = -7x + 1, find f(0).

Answers

Answer:

Step-by-step explanation:

f(0)= -7(0)+1= 0 + 1 = 1

18,000 divided by 60

Answers

Answer:

Step-by-step explanation:

300

300

Simple

18,000/60 = 300

Determine the slope of that line that pass through the points (5,2) (-6,8)

Answers

Answer:

The answer is

[tex] \huge - \frac{6}{11} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{8 - 2}{ - 6 - 5} = \frac{6}{ - 11} = - \frac{6}{11} \\ [/tex]

We have the final answer as

[tex] - \frac{6}{11} \\ [/tex]

Hope this helps you

The ratio of men to women working for a company is 3 to 2 . If there are 58 women working for the company, what is the total number of employees?

Answers

Answer:

145

Step-by-step explanation:

Find the distance between the points.
(0,6) and (0,2)

Answers

Answer:

4

Step-by-step explanation:

Because the formula of distance I'd root under x2 - x1 and y2-y1 and the answer Is 4 units

Write the equation of a line that passes through (0, -6) and (11, 1).

Answers

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

i suck at math and i really need help asap!

Answers

Answer:

2

Step-by-step explanation:

2^{4-3}

=2

Find the slope of the line passing through the points (2, 2) and (2,-4).

Answers

Answer:

The slope is (DNE), undefined.

Step-by-step explanation:

urgent! please help!​

Answers

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

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