solution to 3/x + 2/(x+1) = 3/5x?

Answers

Answer 1

9514 1404 393

Answer:

  x = -6/11

Step-by-step explanation:

We assume you want the solution to ...

  3/x +2/(x+1) = 3/(5x)

Subtracting the term on the right, we get the form f(x) = 0.

  [tex]\displaystyle\frac{3}{x}+\frac{2}{x+1}-\frac{3}{5x}=0\\\\\frac{15-3}{5x}+\frac{2}{x+1}=0\\\\\frac{12(x+1)+10x}{5x(x+1)}=0\\\\22x+12=0\quad\text{numerator must be zero}\\\\x+\frac{6}{11}=0\quad\text{divide by 22, simplify}\\\\\boxed{x=-\frac{6}{11}}[/tex]

_____

If you really intend 3/x +2/(x+1) = (3/5)x as you have written, the solution is 3 irrational values for x. I find a graphing calculator a convenient way to find them.


Related Questions

4 to the power of -3 as fraction

Answers

Answer:

Step-by-step explanation:

4^-3

=1/4^3

=1/64

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]4^{-3} = 0.015625[/tex]

[tex]0.015625 = \frac{1}{64}[/tex]

What is 5x5 answer for a cookie

Answers

Answer:

25

Step-by-step explanation:

26 because 5 5 times is equivalent to 26

a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.​

Answers

Answer:

40 cm

Step-by-step explanation:

57600 is the volume here

Because "was filled with 57600cm of water."

- NOTE :  Volume can Never change unless There is a Subtracted amount of water That's Removed

36 x 40 x n = 57600

n = 40

Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?

Answers

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The sum of measures of angles in a triangle is 180°. The third angle is ...

  180° -22° -53° = 105°

Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 17 1/2 or decimal form = 17.5

Step-by-step explanation: Hope this helped!

Answer:

17.5 Statues im pretty sure.

Step-by-step explanation:

7/8 divided by 1/20

A publishing house is selling subscriptions to magazines for 10% off the original price.
If a subscription to Time Magazine usually costs $50, how much will it cost on sale?
A) $5
B) $45
C) $42
D) $55.56

Answers

Answer:

B. 45

Step-by-step explanation:

50x.10=5 discount

50-5=45

Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?

Answers

Answer:

11

Step-by-step explanation:

because they empty 6 bags and there are 5 bags left to that is 11 all together

The total number of bags of leaves b is given by the equation b = 11 bags

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total number of bags be = b

The number of bags emptied by Cora's brother = 6 bags

The number of bags left with Cora = 5 bags

So , the equation will be

The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora

Substituting the values in the equation , we get

The total number of bags b = 6 + 5

The total number of bags b = 11 bags

Therefore , the value of A is 11 bags

Hence , the number of bags of leaves is 11 bags

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Find the value of given PSRQ is a parallelogram

Answers

Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.

This means angle r = 180-145 = 35 degrees.

36x -1 = 35

Add 1 to both sides:

36x = 36

Divide both sides by 36

X = 1

Answer:

Work attached below :D

help with this please. Thanks​

Answers

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

If f (x) is an exponential function where f(-2.5) = 9 and f(7) = 91, then find
the value of f(12), to the nearest hundredth.

Answers

Hi I’m here to help and I think the answer will be =56 bye now !

he owner of a local supermarket wants to estimate the difference between the average number of gallons of milk sold per day on weekdays and weekends. The owner samples 5 weekdays and finds an average of 259.23 gallons of milk sold on those days with a standard deviation of 34.713. 10 (total) Saturdays and Sundays are sampled and the average number of gallons sold is 365.12 with a standard deviation of 48.297. Construct a 90% confidence interval to estimate the difference of (average number of gallons sold on weekdays - average number of gallons sold on weekends). Assume the population standard deviations are the same for both weekdays and weekends.

Answers

Answer:

90% confidence interval is ( -149.114, -62.666   )

Step-by-step explanation:

Given the data in the question;

Sample 1                                Sample 2

x"₁ = 259.23                            x"₂ = 365.12

s₁  = 34.713                              s₂ = 48.297

n₁ = 5                                       n₂ = 10

With 90% confidence interval for μ₁ - μ₂ { using equal variance assumption }

significance level ∝ = 1 - 90% = 1 - 0.90 = 0.1

Since we are to assume that variance are equal and they are know, we will use pooled variance;

Degree of freedom DF = n₁ + n₂ - 2 = 5 + 10 - 2 = 13

Now, pooled estimate of variance will be;

[tex]S_p^2[/tex] = [ ( n₁ - 1 )s₁² + ( n₂ - 1)s₂² ] / [ ( n₁ - 1 ) + ( n₂ - 1 ) ]

we substitute

[tex]S_p^2[/tex] = [ ( 5 - 1 )(34.713)² + ( 10 - 1)(48.297)² ] / [ ( 5 - 1 ) + ( 10 - 1 ) ]

[tex]S_p^2[/tex] = [ ( 4 × 1204.9923) + ( 9 × 2332.6 ) ] / [  4 + 9 ]

[tex]S_p^2[/tex] = [ 4819.9692 + 20993.4 ] / [  13 ]

[tex]S_p^2[/tex] = 25813.3692 / 13

[tex]S_p^2[/tex] = 1985.64378

Now the Standard Error will be;

[tex]S_{x1-x2[/tex] = √[ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

[tex]S_{x1-x2[/tex] = √[ ( 1985.64378 / 5 ) + ( 1985.64378 / 10 ) ]

[tex]S_{x1-x2[/tex] = √[ 397.128756 + 198.564378 ]

[tex]S_{x1-x2[/tex] = √595.693134

[tex]S_{x1-x2[/tex] = 24.4068

Critical Value = [tex]t_{\frac{\alpha }{2}, df[/tex] = [tex]t_{0.05, df=13[/tex] = 1.771  { t-table }

So,

Margin of Error E =  [tex]t_{\frac{\alpha }{2}, df[/tex] × [ ( [tex]S_p^2[/tex] / n₁ ) + ( [tex]S_p^2[/tex] / n₂ ) ]

we substitute

Margin of Error E = 1.771 × 24.4068

Margin of Error E = 43.224

Point Estimate = x₁ - x₂ = 259.23 - 365.12 = -105.89

So, Limits of 90% CI will be; x₁ - x₂ ± E

Lower Limit = x₁ - x₂ - E = -105.89 - 43.224 = -149.114

Upper Limit = x₁ - x₂ - E = -105.89 + 43.224 = -62.666

Therefore, 90% confidence interval is ( -149.114, -62.666   )

Which graph represents a function?

Answers

Answer:

The 4th graph represents a function

Step-by-step explanation:

trust bro

4th graph is a function

Option D is the correct answer

area is measured in square centimeters of parallelogram below do not include unions in your answer ​

Answers

Answer:

21 cm²

21 square centimeters

Step-by-step explanation:

A = bh

A = 3 × 7

A = 21

Answer:

you swim 20inches and then you walk 50

Step-by-step explanation:

just because

A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.

Answers

Answer:  T=1700

Step-by-step explanation:

You buy halibut at 28 per pound. One portion of seared halibut requires 6 ounces of halibut. How much dose the halibut for one portion cost?

Answers

Answer:

4.6

Step-by-step explanation:

yes

The manager of a pizza chain in Albuquerque, New Mexico, wants to determine the average size of their advertised 13-inch pizzas. She takes a random sample of 37 pizzas and records their mean and standard deviation as 13.50 inches and 1.90 inches, respectively. She subsequently computes the 95% confidence interval of the mean size of all pizzas as [12.89, 14.11]. However, she finds this interval to be too broad to implement quality control and decides to reestimate the mean based on a bigger sample. Using the standard deviation estimate of 1.90 from her earlier analysis, how large a sample must she take if she wants the margin of error to be under 0.5 inch

Answers

Answer:

She must take a sample of 56.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation estimate of 1.90

This means that [tex]\sigma = 1.9[/tex]

Wow large a sample must she take if she wants the margin of error to be under 0.5 inch?

This is n for which M = 0.5. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 1.96\frac{1.9}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 1.96*1.9[/tex]

[tex]\sqrt{n} = \frac{1.96*1.9}{0.5}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*1.9}{0.5})^2[/tex]

[tex]n = 55.5[/tex]

Rounding up:

She must take a sample of 56.

anyone know the missing angle ?

Answers

Answer:48.013

Step-by-step explanation: just found it

Questlon 18 of 25
Joanne and Betty have a combined age of 41 years. If Joanne is 17 years old,
how old is Betty?
Answer here
SUBMIT

Answers

Betty is 24. Joanne is 17, you do the equation of 41 - 17 making Betty’s age which is 24.

Answer:

24

Step-by-step explanation:

betty age = 41 - 17

= 24

Help me plz I’m too slow for this

Answers

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²



। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay​

Answers

Answer:

Factorizing 4x2 - 9y2, we get

(2x)2 - (3y)2, by using the identities of a2 - b2.

= (2x + 3y) (2x - 3y)

Step-by-step explanation:

f(x) = 3x + 4 is y =

Answers

Here’s the thing whatever

Please help will mark BRAINLIEST!

Answers

Answer:  540

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

Explanation:

We have n = 5 sides. This means the interior angles sum up to...

S = 180(n-2)

S = 180(5-2)

S = 180(3)

S = 540

All five interior angles of this pentagon add up to 540 degrees.

Evaluate + for x = 6, y=-4, and z=-2.
09
0 27
0-9
0-27

Answers

Answer:

-27

Hope this helped in anyway

Answer:

the answer to this is -27.

A park is \frac{9}{10} 10 9 ​ mile long and\frac{4}{5} 5 4 ​ mile wide. What is the area of the park?

Answers

the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein

Bob has been alive for 21,900 days. How old is Bob?

Answers

Answer:

32 Years, 7 Months, 2 Days old

Step-by-step explanation:

If asphalt pavement costs $0.78 per square foot, determine, to
the nearest cent, the cost of paving the shaded circular road
with center o, an outside radius of 50 feet, and an inner
radius of 36 feet.

Answers

Answer:

2590.33

Step-by-step explanation:

...............

Do anybody know this ???

Answers

Answer:

option D

Step-by-step explanation:

18 1/5 + 22 2/5 +40 1/5

HELPPP MEEEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED

Answers

it wouldnt let me type the answer-

Help! Possess I will give brainiest!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

Since both fractions have a different denominator, we need to look for a common denominator.

[tex]\frac{1}{3}=\frac{3}{9}[/tex]   Multiply 3 in both numerator and denominator

[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]    

Hence, 2/9 is the answer

if the coordinates are ( -1 , 5) and moved 9 units to the left what is the final answer?

Answers

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

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