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
Katarina [22]
3 years ago
13

Select the correct answer. Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form q(x)+r(x)/b(x).

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

1 step: Divide the polynomial x^3+10x^2+13x+39 by the polynomial x^2+2x+1 with remainder:

x^3+10x^2+13x+39=(x^2+2x+1)(x+8)+(-4x+31).

Here x+8 is quotient and -4x+31 is remainder.

2 step: Substitute previous result into the fraction:

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}=\dfrac{(x^2+2x+1)(x+8)+(-4x+31)}{x^2+2x+1}=\\ \\=\dfrac{(x^2+2x+1)(x+8)}{x^2+2x+1}+\dfrac{-4x+31}{x^2+2x+1}=(x+8)+\dfrac{-4x+31}{x^2+2x+1}.

Answer: correct choice is A.

You might be interested in
A single number between 0 and 9 occurring either alone or in a larger number is called a what
USPshnik [31]

Answer:

A chronilagical corientation

Step-by-step explanation:

My teacher told me :()()()

6 0
3 years ago
13x-7y+4x
Vinvika [58]

Answer:

17−7

Step-by-step explanation:

Hope this helped good luck in your work!

4 0
3 years ago
According to a survey, 40% of adults watch a particular television show. Six adults are selected at random. The binomial distrib
iren [92.7K]

Answer:

The distribution is  

b) skewed.

The sum of the probabilities is:

1

Step-by-step explanation:

In a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.

The next quantity of significance in a binomial model is the number of independent trials, n. In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;

n = 6 and p = 0.4

A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of this conditions is met since p is 0.4 while n is just 6 which is relatively small. Thus we conclude that the distribution is not symmetric but rather skewed.

The sum of the probabilities is any discrete probability distribution such as the bernoulli, binomial, negative binomial, poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.

7 0
3 years ago
Read 2 more answers
Write an equation of a line that is perpendicular to the line x-2y=8
Helen [10]

2x+y=8 is the equation perpendicular to x-2y=8.

6 0
3 years ago
Read 2 more answers
Use the information in the article and associated document about organic strawberry farming to answer the questions about sales
IrinaK [193]

Answer: 27,576

16 acres

Step-by-step explanation:

9 0
3 years ago
Read 2 more answers
Other questions:
  • A dollar bill is about 0.00011 meter thick. What is this thickness is scientific notation?
    5·1 answer
  • Unit rate for $4.95 for 3 tacos
    10·1 answer
  • How many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?
    15·1 answer
  • Simplify -8(2-3w) -5w
    13·2 answers
  • Find the first five terms of the sequence in which a1 = 6 and an = –3an – 1 – 12, if n ≥ 2.
    7·1 answer
  • Use the graph below to fill in the blank with the correct number
    11·1 answer
  • 5) Find the value of x<br>5²x + 5 = 5​
    11·1 answer
  • 6t+4&lt;-2 solve the inequality
    11·1 answer
  • HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • I need help please and thank you​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!