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
vladimir2022 [97]
2 years ago
12

What two rational expressions sum to 3x+4/x^2-6x+5?

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
4 0

Answer:

\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}

Step-by-step explanation:

The given rational expression is:

\frac{3x+4}{x^{2}-6x+5} = \frac{3x+4}{(x-1)(x-5)}

We can use concept of Partial Fractions to solve this problem. Let,

\frac{3x+4}{(x-1)(x-5)}=\frac{A}{x-1} +\frac{B}{x-5}

Multiplying both sides by (x - 1)(x - 5), we get:

3x+4=A(x-5)+B(x-1)

Substituting x = 5, we get:

3(5)+4=A(5-5)+B(5-1)\\\\ 15+4=0+4B\\\\ 19=4B\\\\ B=\frac{19}{4}

Substituting x = 1, we get:

3(1)+4=A(1-5)+B(1-1)\\\\ 7=-4A\\\\ A=-\frac{7}{4}

Substituting the value of A and B, back in the original equation, we get:

\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}

You might be interested in
Find 50% of<br>$199.96.<br>(Round to the nearest penny.)​
hram777 [196]

Answer:

$99.98

Step-by-step explanation:

199.96 x .5 = 99.98

.5=50% so if you multiply by .5 you get 50 percent of 99.98

5 0
3 years ago
I need help with this due in 10 mins pleaseeeee
mylen [45]

Answer:

D) (2, 14)

Step-by-step explanation:

substitute each coordinates into the inequality:

(0, 0)

y > 5x

0 > 5*0

0 > 0

this is false, 0 = 0.

(3, 12)

y > 5x

12 > 5 * 3

12 > 15

this is false, 12 < 15

(-2, -10)

y > 5x

-10 > 5 * -2

-10 > -10

this is false, -10 = -10

(2, 14)

y > 5x

14 > 5 * 2

14 > 10

this is true, 14 > 10

3 0
2 years ago
Read 2 more answers
You are going shopping for school supplies. Between what you have saved and what you have been given, you have $300 to use to bu
nydimaria [60]

Answer:

Step-by-step explanation:

7 0
3 years ago
Help plssssss ASAP pls I’m not good at math
liq [111]

Answer:

B.) 51/64

Step-by-step explanation:

8 0
2 years ago
If DM=35, what is the value of r ?
balu736 [363]

Answer:

r=12.5 units

Step-by-step explanation:

Well assuming that DM means diameter of a circle, then r should be the radius of the circle.

Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.

Given  diameter =25

Radius will be= 25/2 = 12.5 units

7 0
2 years ago
Other questions:
  • Don't understand number 1
    8·1 answer
  • The height of the parallelogram, h, can be found by dividing the area by the length of the base. If the area of the parallelogra
    13·2 answers
  • Whats -2 and 1/3 times 6
    11·2 answers
  • Lines p and q are intersecting by line r. If m&lt;1=7x-36 and m&lt;2=5x+12, for which value of x would p||q
    9·1 answer
  • What is the function of the line?
    13·1 answer
  • Explain how to convert 2.7 × 104 from scientific notation to standard form, then give the answer in standard form.
    12·2 answers
  • What is the relationship between the standard deviation and the precision of a procedure? there is no relationship between stand
    13·1 answer
  • To turn 2/5 into a decimal, what operation
    11·1 answer
  • Danika concludes that the following functions are inverses of each other because f(g(x)) = x. Do you agree with Danika? Explain
    5·2 answers
  • If the volume of a cone is 10 m^3 what is its height if the area of the base is 10 m^2?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!