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
Alik [6]
2 years ago
14

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

7 = 0. (Round your answer to four decimal places.)
Mathematics
1 answer:
nevsk [136]2 years ago
5 0

Answer:

x_2 \approx -1.769

Step-by-step explanation:

Let f(x)=x^3+x+7

So f'(x)=3x^2+1

x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}

Let x_1=-2

We are going to find x_2

So we are evaluating -2-\frac{f(-2)}{f'(-2)}

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3

f'(-2)=3(-2)^2+1=3(4)+1=12+1=13

So

x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769

You might be interested in
Rewrite the equation so that it does not have fractions 2- 5/6x = 7/8
sashaice [31]

the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:

24(5/6)x + 24(2) = 24(7/8)

the denominators will cancel out so you have:

4(5x) + 48 = 3(7)

do the multiplication:

20x + 48 = 21

fractions have been eliminated, and if you want to continue to solve:

20x = -27

x = -27/20

8 0
2 years ago
What is the sum of 4.2 × 105 and 5.3 × 105?
grandymaker [24]
The answer would be 9.5•105. You are supposed to add the beginning numbers since the second numbers are equal to each other meaning that the first numbers are of the base values.
4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%2027%7D%7B9%7D%20%20%2B%20%20%5Cfrac%7Bx%20%2B%208%7D%7B8%7D%20x%20%2B%208"
Alinara [238K]

\frac{9 {x}^{2} + 80x + 360 }{72}
If I'm not mistaken, this should be the answer
5 0
3 years ago
Jacob makes 20 baskets for every 35 times he shoots the ball. What is the ratio of baskets he makes to baskets he misses? Write
Kipish [7]

Answer:

ratio = 4/3 = 1.3333

Step-by-step explanation:

If Jacob makes 20 baskets for every 35 times he shoots the ball, that means he misses 35 - 20 = 15 shoots for every 35 shoots.

So, to calculate the ratio of baskets he makes to baskets he misses, we just need to divide these values:

baskets he makes = 20 for every 35

baskets he misses = 15 for every 35

ratio = 20 / 15 = 4 / 3 = 1.3333

8 0
3 years ago
Point B is collinear with A and C and partitions AC in a 3:4 ratio. B is located at (4,1) and C is located at (12,5). Find the c
GrogVix [38]

Answer:

A(-\frac{20}{3} ,-\frac{13}{3})

Step-by-step explanation:

Point B partitions AC in a 3:4 ratio.

B is located at (4,1) and C is located at (12,5).

Let (x_1,y_1) be the coordinates of A.

Then (\frac{mx_1+nx_2}{m+n}, \frac{my_1+ny_2}{m+n})=(4,1)

But m:n=3:4 implies m=3 and n=4 and (x_2=12,y_2=5)

(\frac{3x_1+4*12}{3+4}, \frac{3y_1+4*5}{3+4})=(4,1)

(\frac{3x_1+48}{7}, \frac{3y_1+20}{7})=(4,1)

\frac{3x_1+48}{7}=4, \frac{3y_1+20}{7}=1

3x_1+48=28, 3y_1+20=7

3x_1=-20, 3y_1=-13

x_1=-\frac{20}{3} , y_1=-\frac{13}{3}

8 0
3 years ago
Other questions:
  • EXPLAIN YOUR ANSWER
    8·1 answer
  • 3x − 6y = −12<br> −x + 2y = 8
    8·2 answers
  • What times what equals 6 but when added equals 5
    10·2 answers
  • An airline company advertises that 100% of their flights are on time after checking 5 flights from yesterday and finding that th
    11·1 answer
  • What is the square root of 165
    6·1 answer
  • Please give me the correct answer​
    15·1 answer
  • The tables below show four sets of data:
    13·1 answer
  • Could someone please help me with #7 and #8?
    5·2 answers
  • 4. If 3x − 1 = 11, the 2x = ?<br> a. 20/3<br> b. 2<br> c. 4<br> d. 8<br> e. 72
    14·2 answers
  • PLEASE HELP i hat ssing
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!