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
Brrunno [24]
3 years ago
9

Simplify this rational expression: 5x^2+3x-11/x+3 what is the quotient and remainder

Mathematics
2 answers:
love history [14]3 years ago
8 0
<h3><u>After diving, we're left with the quotient of 5x - 12 + (25/(x + 3))</u></h3><h3><u>The remainder is 25.</u></h3>

Ivahew [28]3 years ago
4 0

Answer with explanation:

 The given rational expression is:

    =\frac{5x^2+3 x-11}{x+3}\\\\=\frac{5x^2+15 x-12 x-36+36-11}{x+3}\\\\=\frac{5x\times(x+3)-12\times (x+3)+25}{x+3}\\\\=\frac{(5x-12) \times (x+3)+25}{x+3}\\\\= 5x-12 +\frac{25}{x+3}

Use Euclid Division Algorithm to solve this ,which states that, if a and b are two expressions, when a divided by b, gives remainder m and Quotient g, then by the application of Division theorem , it can be written as:

⇒ a = b g +m, where, 0≤m<g

⇒5 x²+3 x-11=(5 x-12)(x+3)+25

Quotient = 5 x -12

Remainder =25

You might be interested in
Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Resp
Otrada [13]

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

4 0
2 years ago
A small company that manufactures snowboards uses the relation below to model its profit. In the model,
amm1812

Answer:

a)   x₁ = 14

     x₂ = - 6

b) x = 4

c) P(max ) = 4000000 $

Step-by-step explanation:

To find the axis of symmetry we solve the equation

a) -4x² + 32x + 336 = 0

4x²  - 32x  - 336  = 0       or    x² - 8x - 84 = 0

x₁,₂ = [ -b ± √b² -4ac ]/2a

x₁,₂ = [ 8  ±√(64) + 336 ]/2

x₁,₂ = [ 8  ± √400 ]/2

x₁,₂ =( 8 ± 20 )/2

x₁  = 14

x₂ = -6

a) Axis of symmetry must go through the middle point between the roots

x = 4 is the axis of symmetry

c) P = -4x² + 32x + 336

Taking derivatives on both sides of the equation we get

P´(x) = - 8x + 32  ⇒  P´(x) = 0     - 8x + 32

x = 32/8

x = 4    Company has to sell  4 ( 4000 snowboard)

to get  a profit :

P = - 4*(4)² + 32*(4) + 336

P(max) = -64  + 128 + 336

P(max) = 400           or  400* 10000 =  4000000

     

8 0
3 years ago
Thomas bikes at a rate of 24 mi in 3 h. Thomas’s friend De’Monte bikes 9.5 mi each hour. De’Monte and Thomas are 105 mi apart an
Murrr4er [49]
6 hours
...............................
8 0
2 years ago
What is 2/100000 as a decimal
blsea [12.9K]
2.0e-6
Is the answer to your question

6 0
3 years ago
Read 2 more answers
Circle the common factors of 20w and 40wz. Options are 10, 20w, 10xz, 5z, 2w, z, 9w, or w. Can you please explain how you guys g
IRISSAK [1]
10, 20w, 2w, and we are factors of 20w and 40wz
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?
    6·2 answers
  • What is the value of n in the equation –(2n + 4) + 6 = –9 + 4(2n + 1)?
    5·2 answers
  • Amy has two older brothers. Ben is 3 years older than Amy. Chris is 10 years older than Ben. The total of their ages is 73. Form
    13·2 answers
  • Which polygon is a base of the triangular prism?
    12·1 answer
  • Can someone help me
    10·1 answer
  • 2. Latoya opens a savings account and deposits $1,525. The interest rate is 2.73 percent. Interest is
    14·1 answer
  • I need help I need it ASAP!!
    14·1 answer
  • Toula has just baked a cake in the shape of a rectangle. She
    6·1 answer
  • What number is 40% of 720 I need work shown please show your work and don’t make it tricky thank you
    11·1 answer
  • Find Y, write your answer in simplest radical from. Please help me out guys I need this problem.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!