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
Tema [17]
3 years ago
13

How do you do this problem?

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

Step-by-step explanation:

You are going to work entirely on the right, until you can compare what is on the right with what you are given on the left.

a/1 + b/(x + 2) + c/(x - 8)

The first step is to determine the common denominator which is

(x + 2)(x - 8)

Now put each fraction over the common denominator.

<u>a(x + 2)(x - 8) + b(x - 8) + c(x + 2)</u>

             (x + 2)(x - 8)

The denominators on the left and right are the same, so you need only work with the numerators.

Remove the brackets.

a(x^2 - 6x - 16) + bx - 8b + cx + 2c

ax^2 - 6ax - 16a + bx - 8b + cx + 2c

In that whole expression, there is only 1 term that has an x^2 in it and that is the very first term.

a = 2 when you compare it to the left. You do this so you can get a value for  a.

Now put a = 2 in the first three terms on the expression above

2x^2 - 6*2x - 16(2) + bx - 8b + cx + 2c

2x^2 - 12x - 32 + bx - 8b + cx + 2c

The next thing is to get all the terms containing x together.

-12x + bx + cx = - 14x That's the term on the left (-14x). Divide by x

-12 + b + c = - 14          Add 12 to both sides

b + c = -14 + 12

b + c = - 2                    (x)

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

Now you equate the terms with no x's in them.

-32 - 8b + 2c = - 76      Add 32 to both sides.

-8b + 2c = - 76 + 32

-8b + 2c = - 44             Divide by 2

-4b + c = - 22               (y)

Subtract (y) - (x)

-4b + c = - 22

 <u> b + c = - 2</u>

- 5b = - 20                   Divide by - 5

-5b/-5 = - 20/-5

b = 4

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

b + c = - 2                     Find c substitute b = 4

4 + c = - 2                     Subtract 4 from both sides

c = - 2 - 4

c = - 6      

===============  

Answer

a = 2

b = 4

c = -6

You might be interested in
If two polygons are SIMILAR, then the corresponding sides must be and the corresponding angles must be .
AveGali [126]

Answer:

Their sides must be in the same ratio and their angles must be equal.

Step-by-step explanation:

If two polygons are similar their sides must be in the same ratio and their angles must be equal.

e. g. -

If ABCDEF  and GHIJKL be the two polygons,

then,

\frac{AB}{GH} = \frac{BC}{HI} = \frac{CD}{IJ} = \frac {DE}{JK} = \frac {EF}{KL} = \frac{FA}{LG}

and,

∠ABC = ∠GHI ; ∠BCD =∠HIJ ; ∠CDE = ∠IJK ; ∠DEF =∠JKL ; ∠EFA =∠KLG;

∠FAB = ∠LGH .

5 0
3 years ago
a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then
insens350 [35]

Answer:

a) Everyone on the team talks until the entire team agrees on one decision.

Step-by-step explanation:

Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense

8 0
2 years ago
Wright a simple equation :)
kipiarov [429]

Answer:

6 pairs of socks

Step-by-step explanation:

I started with $15.99 and subtracted that by $21.93. $21.93-$15.99= $5.94. Then I divided $5.94 by $0.99. $5.94/$0.99= 6. I hope this helped

4 0
3 years ago
The number of students at Lala High School is 64 less than 3 times the number of students at Banana High School. Which expressio
dangina [55]

Answer:

3s - 64

Step-by-step explanation:

7 0
3 years ago
Power (denoted by PPP) can be defined as a function of work (denoted by WWW) and time (denoted by ttt) using this formula: P=\df
Amanda [17]

Answer:

\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

Step-by-step explanation:

Power (denoted by P) can be defined as a function of work (denoted by W) and time (denoted by t) using this formula:

P=\dfrac{W}{t}

Unit of Work = \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2}

Unit for Time = s

Therefore, the Unit of Power

=$Unit for W \times \dfrac{1}{\text{Unit for time}}

=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^2} \times \dfrac{1}{s} \\=\dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

An appropriate unit for power is: \dfrac{\text{kg}\cdot\text{m}^2}{\text{s}^3}

3 0
2 years ago
Other questions:
  • A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with points C and D on the circle
    10·1 answer
  • What type of angle is formed by joining an acute and right angles
    5·1 answer
  • Multiple Choice question
    13·2 answers
  • X/3=9<br><br> X=???<br><br> I need help!
    11·1 answer
  • Linear functions<br> 10th grade math<br> Need help fast <br> What should I write
    8·1 answer
  • Timothy is filling fish bowls with pebbles at his fish store. He wants to have $\frac{1}{6}$ of a pound of pebbles in each fish
    6·1 answer
  • Pls help ill give brainliest to the person WHO GETS IT RIGHT
    15·2 answers
  • Only part B and C . please help.​
    7·1 answer
  • The city of Raleigh has 6200 registered voters. There are two candidates for city council in an upcoming election: Brown and Fel
    5·2 answers
  • (show ur work) Each bag of gourment popcorn for a school fundraiser costs $6.75. The total amount received from the popcorn sale
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!