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
Citrus2011 [14]
3 years ago
6

Solving Rational equations. LCD method. Show work. Image attached.

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

b=1

Step-by-step explanation:

The given rational equation is

\frac{2b-5}{b-2} -2=\frac{3}{b+2}

The Least Common Denominator is (b+2)(b-2).

Multiply each term in the equation by the LCD.

(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}

Simplify;

(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}

(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)

Expand and group similar terms

2b^2-5b+4b-10 -2(b^2-4)=3b-6

2b^2-5b+4b-10 -2b^2+8=3b-6

-b-2=3b-6

3b+b=-2+6

4b=4

b=1

You might be interested in
The Bengals football team scored 2 touchdowns for 6 points each, one extra point, and 3 field goals for 3 points each. The Raven
Yanka [14]

bangles scored 22 pts but don't know how much the ravens scored


4 0
3 years ago
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $30 p
Mkey [24]

First, you need to write to expressions to model each situation:

Plan A: 10+0.15x

Plan B: 30+0.1x


Next, set the expressions equal to each other and solve for x:

10+0.15x=30+0.1x

<em>*Subtract 0.1x from both sides to isolate the variable*</em>

10+0.05x=30

<em>*Subtract 10 from both sides*</em>

0.05x=20

<em>*Divide both sides by 0.05*</em>

x=400


The plans would have the same cost after 400 minutes of calls.


To find how much money the plans cost at 400 minutes, plug 400 into either expression.  We'll use Plan A:

10+0.15(400)

10+60

70


The plans will cost $70.


Hope this helps!

3 0
3 years ago
The quotient of a number and 6 plus 3 is 11
kkurt [141]
2? because you add 6 and 3 together and get 9 then you subtract 11 by 9 and get 2
5 0
3 years ago
Solve the equation when x=40. This will show the ball’s height, in feet, when it reaches the goal post. Y=-0.1x^2+4x
maks197457 [2]

Answer:

0

Step-by-step explanation:

-0.1(40)^2+4(40)

-160+160

0

6 0
3 years ago
Read 2 more answers
Complete each congruence by naming the corresponding angle or side.
Lisa [10]

Step-by-step explanation:

angle k equal to angle m ,,,

4 0
3 years ago
Other questions:
  • There are nine tennis balls and three cans
    14·1 answer
  • A magazine has 120 pages. There are 28 full-page ads and 12 half-page ads. The rest of the magazine consists of articles.
    14·2 answers
  • Please helppppp!! My friend and I have tried no luck....
    8·1 answer
  • Write the quadratic equation in standard form.
    8·2 answers
  • Radius: 12<br> diameter: 24 inches <br> circumference:<br> area:
    11·1 answer
  • What is 20×40+3×9÷3+4
    6·2 answers
  • Mark's computer weighs 35.759 pounds. Whats is the weight of his computer rounded to the nearstest hunredth?
    8·2 answers
  • Please I need help with this question: d/8 – 11 &gt; –12
    15·2 answers
  • Math help pls all 4 questions please
    15·2 answers
  • A pair of equations is shown below.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!