can someone please help me with this math problem?

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

nevsk [136]

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

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

5 0

2 years ago

HELP PLEASE: Which is the equation of the graphed line written in

maksim [4K]

Answer:

$x - y = 0$

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (1,1)$

The slope of the graph is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{1-0}{1-0}$

$m = \frac{1}{1}$

$m =1$

So, the graph equation is:

$y = m(x - x_1) + y_1$

$y = 1 * (x - 0) + 0$

$y = 1 * x$

$y = x$

In standard form, we have:

$x - y = 0$

6 0

2 years ago

A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word

alex41 [277]

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

3 0

2 years ago

Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost

Mama L [17]

2X=Y

2 because it is two dollars per pound.

8 0

3 years ago

Read 2 more answers

What is the equation in point-slope form for the line parallel to y = 4x – 14 that contains P(–2, –6)?

lord [1]

Point t slope form:
y + y value = m (x + x value) where m is the gradient
Parallel line must have the same gradient as the two lines never meet, so the gradient must be 4. This eliminates option B and D.
Remember that point-slope form is still an equation, so the values of both sides must be equal. So let's substitute the given coordinates.
Option A:
y-6=4(x+2)
-6-6 (-12) does not equal to 4(-2+2) (0)
Option C:
y+6=4(-2+2)
-6+6 (0) = 4(-2+2) (0)
Therefore, option C is your answer.

8 0

2 years ago

Read 2 more answers

￼can someone please help me with this math problem?

can someone please help me with this math problem?