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
leonid [27]
3 years ago
5

Find AA and BB that make the equation true. Verify your results.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0

Answer:

a. A = -1 and B = 1

b. A = 7 and B = -5

Step-by-step explanation:

a.

\frac{A}{x+1} +\frac{B}{x-1}  = \frac{2}{x^2-1}

\frac{A*(x-1)+B*(x+1)}{(x+1)*(x-1)} = \frac{2}{x^2-1}

\frac{Ax - A + Bx + B}{x^2 -1} = \frac{2}{x^2-1}

To the equation be true, the "x-parts" and "nonx-parts" mist be the same, so:

Ax + Bx = 0

(A + B)x = 0

A + B = 0

A = -B

B - A = 2

B - (-B) = 2

2B = 2

B = 1  and A = -1

b.

\frac{A}{x+3} + \frac{B}{x +2} = \frac{2x -1}{x^2+5x+6}

\frac{A*(x+2) + B*(x+3)}{(x+3)*(x+2)} = \frac{2x-1}{x^2+5x+6}

\frac{Ax + 2A + Bx + 3B}{x^2 + 5x + 6} = \frac{2x-1}{x^2+5x+6}

To the equation be true, the "x-parts" and "nonx-parts" mist be the same, so:

Ax + Bx = 2x

(A + B)x = 2x

A + B = 2

A = 2 - B

2A + 3B = -1

2*(2-B) + 3B = -1

4 - 2B + 3B = -1

B = -5  and A = 2 - (-5) = 7

You might be interested in
You deposit $900 in a savings account. The account earns 4% simple interest per year. What is the balance after 8 years? What is
xeze [42]
$900+ $288( interest after 8 years)= $1, 188( total balance)
8 0
3 years ago
Decrease 220kg by 12.5%.<br><br> NEED HELPPP!
Serga [27]
Hmm try 192.5 I think that’s right
6 0
3 years ago
Read 2 more answers
Find a 101 of the sequence 5, 8, 11, ....<br><br> A. 302<br> B. 311<br> C. 305<br> D. 308
Dimas [21]

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

      = 5+3(100)

    = 5+300

   = 305

5 0
2 years ago
Can anyone help me to solve this please?? ​
andre [41]

Answer:

Step-by-step explanation: explique melhor

7 0
2 years ago
X squared=yw-3 make x the subject
KengaRu [80]
X²=yw-3
sqrt both sides
x=\sqrt{yw-3}
7 0
3 years ago
Other questions:
  • 9. You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles. You draw 2 marbles out of the bag. Without replacing
    10·2 answers
  • How do i simplify this expression?
    6·1 answer
  • What 18/25 simplest form?
    15·1 answer
  • Julie spends 3/4 hour studying on Monday and 1/6 hour studying on Tuesday. How many hours does Julie study on the two days? (A 1
    8·1 answer
  • For 7 and 8, find the maximum or minimum point of the parabola​
    10·1 answer
  • A standard showerhead in Sonia's house dispenses 12 gallons of water per minute. Sonia changed this showerhead to an energy-savi
    15·1 answer
  • 3. In New York, the Mega Ball jackpot lottery asks you to pick 5 numbers (integers) from 1 to 59 (the "upper
    13·1 answer
  • Given that Triangle KLM is congruent to Triangle RQP, what is the measurement of Side KL? Fill in the blank with only the numeri
    15·2 answers
  • What is 10x 10 x 10 x 10
    12·2 answers
  • Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!