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
Marianna [84]
3 years ago
14

Find r(x + 1) if r(x) = x3 + x + 1

Mathematics
2 answers:
suter [353]3 years ago
7 0

Substitute x + 1 as x in the equation of the function:

r(x)=x^3+x+1\\\\r(x+1)=(x+1)^3+(x+1)+1=x^3+3(x^2)(1)+3(x)(1^2)+1^3+x+1+1\\\\=x^3+3x^2+3x+x+2=x^3+3x^2+4x+2

Used

(a+b)^3=a^3+3a^3b+3ab^3+b^3

Ad libitum [116K]3 years ago
4 0

Answer:

<em>r(x + 1) = x^3 + 3x^2 + 4x + 3</em>

Step-by-step explanation:

r(x) = x3 + x + 1

Replace x with x + 1 is r(x) and simplify.

r(x + 1) = (x + 1)^3 + x + 1 + 1

= (x^2 + 2x + 1)(x + 1) + x + 2

= x^3 + x^2 + 2x^2 + 2x + x + 1 + x + 2

r(x + 1) = x^3 + 3x^2 + 4x + 3

You might be interested in
Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the sho
miskamm [114]

Answer:

7.61 miles

Step-by-step explanation:

Given that,

Haley hikes 3 miles north and 7 miles east.

We need to find the shortest distance from the campground to the waterfall. Let the distance is D.

It can be calculated as follows :

D=\sqrt{3^2+7^2}\\D=7.61\ miles

So, the shortest distance from the campground to the waterfall is 7.61 miles.

3 0
3 years ago
lipka reads a book of 1/34 hrs everyday she reads the entire book in 6 days how many hours in all were required by her to read t
marshall27 [118]

Answer: She needs 10 1/2 hours to read the book.

Step-by-step explanation:I day = 1 3/4 hours

6 days = 1 3/4 x 6

6 days = 7/4 x 6

6 days = 42/4

6 days = 10 1/2 hours

8 0
2 years ago
Express 7/8 as a decimal
Mekhanik [1.2K]
\displaystyle \frac{7}{8} = \frac{7 \times 125}{8 \times 125} \\\\ = \frac{875}{1.000} \rightarrow \boxed{\boxed{0,875}}
6 0
2 years ago
How much interest is earned on $2,700 in one year if it is invested at 3%?
Natalka [10]
$81 is earned by investing $2700 in one year at 3%.
3 0
3 years ago
What is this pls help
Julli [10]

Answer:

5z

Step-by-step explanation:

3z+5z-3z(3z gets cancelled)

5z

3 0
2 years ago
Read 2 more answers
Other questions:
  • Which list shows all the subset of the set (c,g,n)?
    7·1 answer
  • A line has this equation: y=-6x + 9 Write an equation for the parallel line that goes through (2, 1).​
    6·1 answer
  • there are 425 people in the auditorium they are sitting in rows of 9 how many rows have 9 people sitting down?​
    15·2 answers
  • How do I write an equation with two points on the same line? (15,17) and (20,24) are on the same line. Write the equation of the
    5·1 answer
  • A 99​-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
    6·1 answer
  • Which statement about the graph of y=8(0.25)^x is true?
    9·1 answer
  • The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is close
    13·1 answer
  • Set up a proportion and solve the following!
    10·1 answer
  • I need help how to get the answer please help!
    12·2 answers
  • What is the range for 46 47 52 55 64 69 70 78
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!