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
What is the number written in standard notation?
expeople1 [14]

Answer:

option B

Step-by-step explanation:

To find the number which is written in the standard form,5 \times {10}^{3}

We expand {10}^{3} and multiply by 5 to get

= 5 \times (10 \times 10 \times 10)

=5\times 1000

=5000

5 0
3 years ago
Read 2 more answers
(01.07)
AURORKA [14]
*The answer is A. 24.*

All you have to do is back solve. In other words, just plug your answer choices into the equation.
3 0
3 years ago
Round off 431.3608 to the nearest hundreth​
FromTheMoon [43]
This would be 431.36
3 0
2 years ago
Read 2 more answers
Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for
White raven [17]
One scarf=s
One hat=h

2s+h=13
s+2h=14

h=13-2s
(plug that into the other equation)

s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4

One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9
5 0
3 years ago
A fish tank is a cube. Its side length is 4 1/2 feet. The volume of water needed to completely fill the fish tank is ___ cubic f
GalinKa [24]

The equation for the volume of a cube is V=s^3, where V is volume and s is side length.  Plug in and solve:

V=4.5^3

V=4.5*4.5*4.5

V=91.125ft^3

Hope this helps!!

6 0
3 years ago
Other questions:
  • Which of the following is not a binorrial experiment?
    6·1 answer
  • On average, the moon is 384,400 kilometers from the Earth . How is this distance written in scientific notation?
    8·1 answer
  • Plz send help ???????????????????????
    13·1 answer
  • What is the Like Term of 2L 2 and L?
    15·1 answer
  • Question 21..........
    9·1 answer
  • Please helpp ahhhhhhhhh
    11·1 answer
  • Which expression is equal to 5 6 (6 is an exponent)
    15·1 answer
  • GUYS PLEASE HELP ME I WILL GIVE BRAINLIEST, 5 STARS, AND EVERYTHING! THANKS!
    14·1 answer
  • Simplify the expression ⎯(+⎯)
    7·1 answer
  • Christine, Kareem, and Trey have a total of $133 in their wallets. Kareem has $5 more than Christine. Trey has 4 times
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!