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
liubo4ka [24]
4 years ago
15

Solve 3/ x-2 - 2/ x+3 =1 Leave your answer in surd form.

Mathematics
1 answer:
zepelin [54]4 years ago
8 0

Answer:

Step-by-step explanation:

3/(x-2) - 2/(x+3) = 1....multiply everything by (x-2)(x+3)

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

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

3x + 9 -2x + 4 = (x-2)(x+3)

x + 13 = x^2 + x - 6

x^2 - x + x - 6 - 13 = 0

x^2 - 19 = 0

x^2 = 19....take sq rt of both sides

sqrt(x^2) = sqrt 19

x = sqrt 19 and x = - sqrt 19 <====

You might be interested in
phil ate three less than twice as many pancakes as sara. together they combined to eat 15 pancakes. How many pancakes did each e
Levart [38]

Answer:

Let x represents the Sara eat pancake and y represents the Phil eat the pancake.

As per the statement:

Phil ate three less than twice as many pancakes as Sara.

"Twice as many pancake as Sara" means 2x

"three less than twice as many pancakes as Sara" means 2x -3

⇒y = 2x-3         .....[1]

It is also given that together they combined to eat 15 pancakes.

⇒x+y =15      .....[2]

Substitute equation [1] into [2] we get;

x+2x-3 = 15

Combine like terms;

3x-3 =15

Add 3 to both sides we get;

3x = 18

Divide both sides by 3 we get;

x = 6

Substitute the value of x in [1] we get;

y = 2(6)-3 = 12-3 =9

y = 9

Therefore, the pancakes did each eat are;

Sara eat pancake = 6 and Phil eat pancake = 9


8 0
3 years ago
Juan received 236 votes in a school electionIf he received 130 more than of the total number 1/3 of votes , how many students vo
Bumek [7]

318 students voted in the election.

Step-by-step explanation:

Given,

Votes received by Juan = 236 votes

Let x represent the number of total votes.

According to given statement;

Juan received 130 more than 1/3 of total votes.

236=\frac{1}{3}x+130\\\\236-130=\frac{1}{3}x\\\\106=\frac{1}{3}x\\\\\frac{1}{3}x=106

Multiplying both sides by 3

3*\frac{1}{3}x=106*3\\x=318

318 students voted in the election.

Keywords: fraction, division

Learn more about division at:

  • brainly.com/question/6108628
  •  brainly.com/question/605571

#LearnwithBrainly

6 0
3 years ago
Pls help! What is 53,010,000 in scientific notation :3
velikii [3]
To find a, take the number and move a decimal place to the right one position. 
Original Number : 53,010,000
New Number: 5.3010000

6 0
4 years ago
Read 2 more answers
For the function g defined above, a is a constant and g(4) = 8 what is the value of g(-4)
kondaur [170]

Answer:

-8

Step-by-step explanation:

g(4)=8

8÷4=2

g=2

g(-4)=2(-4)

=(-8)

holp it can help you.

7 0
3 years ago
Evaluate 12-x for x=5.<br> O 12<br> 7<br> O 17
bezimeni [28]

Answer:

7

Step-by-step explanation:

12-x

Let x = 5

12-5

7

3 0
3 years ago
Other questions:
  • After 3.5 hours Kim had traveled 217 miles If she traveled at a constant speed how far will she have traveled after 4 hours
    11·1 answer
  • Ahmed and Tonya are training for a race. Ahmed runs a mile 8 minutes 30 seconds. Tonya runs a mile 7 minutes 45 seconds. How muc
    15·1 answer
  • The number to be added to 320 to get a perfect square number
    12·1 answer
  • Steven recently won $1 in the scratch-n-play lotto. His banker,
    14·1 answer
  • The horizontal cross-sectional shapes of the prism given below are all congruent. True or false.
    6·2 answers
  • Caitlin bought 6 cookies for a total of $10. At this rate, what is the cost of 9 cookies?
    14·2 answers
  • Can someone answer this please?
    9·2 answers
  • What is the answer to this question. <br> ill mark you as a brainliest if you help me! thank u! :)
    9·1 answer
  • A. 48 inches
    15·2 answers
  • A
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!