1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
4vir4ik [10]
4 years ago
13

What is the solution to the equation x+3/x+2=3+1/x

Mathematics
2 answers:
victus00 [196]4 years ago
8 0

Answer:

x=-1

Step-by-step explanation:

x+3

------- = 3 + 1/x

x+2

Get a common denominator on the right

3*x/x + 1/x

3x/x + 1/x = (3x+1)/x


x+3       3x+1

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

x+2         x


We can use cross products to solve

(x+3) *x = (3x+1) * (x+2)

x^2+3x = 3x*x +x + 3x*2 +2

Simplifying

x^2 + 3x = 3x^2 +7x+2

Subtract x^2 from each side

x^2 -x^2 + 3x = 3x^2-x^2 +7x+2

3x = 2x^2 +7x+2

Subtract 3x from each side

3x-3x = 2x^2 +7x -3x+2

0 = 2x^2 +4x +2

Divide by 2

0 = x^2 +2x +1

Factor

0 = (x+1) (x+1)

Using the zero product property

x+1 =0

x=-1

marishachu [46]4 years ago
6 0

Answer:

The solution set is { -1 }.

Step-by-step explanation:

If we multiply each term by the LCM of x and x+ 2 ( = x(x + 2))  we get:-

x(x + 3) = 3x(x + 2)  + x + 2

x^2 + 3x = 3x^2 + 6x + x + 2

0 = 3x^2 - x^2 - 3x + 6x + x + 2

2x^2 +4x + 2 = 0

2(x^2 + 2x + 1) = 0

2( x + 1)(x + 1) = 0

x = -1    Multiplicity 2

The solution set  only contains 1 * -1 . Elements in a set are not repeated

So   its {-1}  (answer)


You might be interested in
A circle has diameter 12. What's the circumference?
Karo-lina-s [1.5K]

Answer:

b. 12π

Step-by-step explanation:

C= 2πr

R= D/2= 12/2= 6

C= 2x3.14x6

2x6= 12

C= 12π

6 0
3 years ago
Read 2 more answers
Evaluate A + 3B if possible. HELP ASAP!
madreJ [45]

Answer:

Not possible.

Step-by-step explanation:

Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.

Order of a matrix with m rows and n columns is m\times n.

Here, matrix A is \left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]

Matrix B is \left[\begin{array}{ccc}0&-4&6\\2&-10&4\end{array}\right].

Multiplying a matrix by a constant doesn't change its order.

So, order of matrix A is 3\times 2 as it has 3 rows and 2 columns.

The order of matrix 3B is 2\times 3 as it has 2 rows and 3 columns.

Therefore, addition is not possible as the order is different.

4 0
3 years ago
Brass is an alloy made by melting and mixing copper and zinc. A metallurgist has two brass
Drupady [299]

Answer:

  • x +y = 500
  • 0.65x +0.95y = 0.75(500)
  • solution: (x, y) = (300, 200)

Step-by-step explanation:

A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.

<h3>Setup</h3>

Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.

  x + y = 500 . . . . . . quantity of new alloy needed

  0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy

These are the desired system of equations.

<h3>Solution</h3>

This problem does not ask for the solution, but it is easily found using substitution for x.

  x = 500 -y

  0.65(500 -y) +0.90y = 0.75(500)

  (0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)

  y = 500(0.10/0.25) = 200

  x = 500 -200 = 300

300 grams of 65% copper and 200 grams of 90% copper are needed.

4 0
2 years ago
I did a test for math and got a 64. I did a retake with the help of this app and look back at the other test and it just got me
s344n2d4d5 [400]

Answer:

Well, at least you improved.  But maybe you should use another source besides brainly for your tests.  Sometimes people put the wrong answers just to get points.

I hope you do better next time!  Good luck!!

5 0
3 years ago
Manuel created a factor tree and wrote the prime factorization of 60 shown below.
bagirrra123 [75]

Answer:

The second one or B- "He did not find the prime factors of 4."

Step-by-step explanation:

I got it right on Edge2020

7 0
3 years ago
Read 2 more answers
Other questions:
  • .<br> .<br> Convert the measurement as indicated.<br> 39 in =_ft_in
    5·1 answer
  • Can a straight line be drawn through any two points
    14·1 answer
  • Someone help me with this ASAP!
    12·2 answers
  • What is the length of the base of a right triangle with an area of 24m and a height of 4m
    15·2 answers
  • Four lab rats stage a daring escape in broad daylight, eventually establishing a colony behind the laboratory's parking garage.
    13·1 answer
  • Fresh cut flowers need to be in at least 4in of water. A spherical vase is filled until the surface of the water is a circle of
    6·1 answer
  • How many roots does the polynomial equation have?<br><br> 0=x^3(x+3)(x−1)^2
    11·2 answers
  • Hi! can someone please help me i would appreciate it
    9·2 answers
  • What is the value of X
    13·1 answer
  • Determine the slope of the line above.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!