This question relates to the order of convergence of the secant method, using an argument similar to that of the proof of Theorem 9.1. a. Consider a functionf :R REC?, such that ** is a local minimizer and f"(x*) + 0. Suppose that we apply the algorithmx(k+1) = x(k) – 4f(x(k)) such that {at} is a positive step- size sequence that converges to 1/8"(x*. Show that ifrſk) →x*, then the order of convergence of the algorithm is superlinear (i.e., strictly greater than 1). b. Given part a, what can you say about the order of convergence of the secant algorithm? Theorem 9.1 Suppose that fe cand x* ER' is a point such that f(x*) = 0 and F(x*) is invertible. Then, for all x(0) sufficiently close to x*, Newton's method is well-defined for all k and converges to x* with an order of convergence at least 2.

Answer:

yes it is a solution

Answer:

M.P=Rs.6000

Sales tax=10%

S.P including sales tax=6000+

100

10

×600

⇒6000+600=Rs.6600

Discount=15%

∴ S.P after discount=6600−15%of6600

⇒6600−

100

15

×6600

⇒6600−990=Rs.5610

Answer:

(2,7)

Step-by-step explanation:

Answer:

[tex]y = a {x}^{2} + bx + c \\ y = - 2 {x}^{2} + 6x - 8 \\ so \\ a = - 2 \\ b = 6 \\ c = - 8[/tex]

Answer:

D: intersecting but not perpendicular lines

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:a) 31.8 b) 5.3 c)1.06

Step-by-step explanation:

A) by taking the consumption rate (10.6) and multiplying it by 3

B) dividing consumption rate by 2= half the distance traveled

Answer:9

Step-by-step explanation:

Answer:

She spends:

2980.83 hours reading in a year,

3406.67 hours listening to music in a year,

and 3650 hours listening to podcasts in a year.

Step-by-step explanation:

Let's multiply each activity she does by 14 and take it to a year:

-Reading

[tex] R = 14*35 \frac{min}{d} = 490 \frac{min}{d}*\frac{365 d}{1 y}*\frac{1 h}{60 min} = 2980.83 \frac{h}{y} [/tex]

She spends 2980.83 hours reading in a year.

-Listenign to music:

[tex] M = 14*40 \frac{min}{d} = 560 \frac{min}{d}*\frac{365 d}{1 y}*\frac{1 h}{60 min} = 3406.67 \frac{h}{y} [/tex]  

She spends 3406.67 hours listening to music in a year.

-Listenign to podcasts:

[tex] P = 14*1.25*4 \frac{h}{w} = 70 \frac{h}{w}*\frac{1 w}{7 d}*\frac{365 d}{1 y} = 3650 \frac{h}{y} [/tex]

She spends 3650 hours listening to podcasts in a year.

I hope it helps you!  

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 6, - 3)

m = [tex]\frac{-3-5}{-6+2}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2

Answer:

Student one and student 3, and II, III, and IV

There ya go!

Answer:

1/4×100=25

7/10×100=70

13/20×100=5×13=65  TRUE(D)

Step-by-step explanation:

C IS TRUE

0.65 AND65/100 AND 13/20

Answer:

Step-by-step explanation:

I used trig because I'm not quite sure what they mean by proportion so I have done:

[tex]tan^{-1}(\frac{9.8}{18.3} ) = 28.17 degrees (rounded)\\ tan(28.17)*32.9 = 17.62 m high\\[/tex]

Answer:

7 whole times

Step-by-step explanation:

To figure it out your equation should look like 100÷13 = x

And now just solve for x.

X = 7.69

Answer:

I think it's 4x +8 =100

Step-by-step explanation:

x in this equation is the number of cookies baked last week.

Answer:

64x2−9y2−320x−18y+391

Step-by-step explanation: 16(2x−5)2−9(y+1)2

Answer:

Look below.

Step-by-step explanation:

As 3/2 is the multiplicative inverse (reciprocal) of 2/3, multiply 3/2 to both sides.

6 = 2/3p                            Write the original equation.

6 · 3/2 = 2/3 · 3/2 · p       Multiply the reciprocal of 2/3 (3/2) to both sides.

18/2 = p                            Simplify.

p = 9                                 Simplify.

Answer:

Your Answer is w =3

Step-by-step explanation:

Hope this helps

Answer:

1/2 maybe

Step-by-step explanation:

Answer:

option B is correct-$1.45+$0.55× ≤ $35.

Step-by-step explanation:

Total cost equals the $1.45, plus $0.55 per mile. She can only spend $35 or less

In math language:

35≤1.45+.55x

33.55≤.55x

61≤x

So, Ariel can go 61 miles or less for $35

Hope u like it ♥️

The inequality is  $1.45 + $0.55x ≤ $35

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

Given:

Total cost equals the $1.45, plus $0.55 per mile.

She can only spend $35 or less

$1.45 + $0.55x ≤ $35

0.55x≤ $35-1.45

0.55x≤33.55

x≤ 61

Hence, Ariel can go 61 miles or less for $35.

Learn more about inequality here:

https://brainly.com/question/20383699

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Answer:

x = 6, AM = 22

Step-by-step explanation:

Since A is the midpoint of RM, then RA = AM = 3x + 4 , then

RM = RA + AM , substitute values

7x + 2 = 3x + 4 + 3x + 4 = 6x + 8 ( subtract 6x from both sides )

x + 2 = 8 ( subtract 2 from both sides )

x = 6

Thus

AM = 3x + 4 = 3(6) + 4 = 18 + 4 = 22

Answer: B: 85 °

Step-by-step explanation: I'm pretty sure that the triangle adds up up 360 degrees. When you add the 2 points together you get 275 and 360 minus 275 is equal to 85. Im not sure this is right, but im pretty sure

Answer:

I think it might be the third one or the last one

Answer:

x is the cups of water

Step-by-step explanation:

1/4 is the lemon juice so y = lemon juice

1 cup is the water so x is the water

Answer:

x=2645/5832 hope that helped

Step-by-step explanation:

Ans:- [tex]\red{\bold{\boxed{156 \degree}}}[/tex]

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15, thus

sum = 180° × 13 = 2340°

Divide the sum by the number of sides for each interior angle, that is

interior angle = 2340° ÷ 15 = 156°

Answer:

The vertices of the square [tex]B'C'D'E'[/tex] are [tex]B'(x, y) = (6,7)[/tex], [tex]C'(x,y) = (2, 6)[/tex], [tex]D'(x,y) = (3,2)[/tex] and [tex]E'(x,y) = (7,3)[/tex]

Step-by-step explanation:

From Geometry we notice that a reflection with axis of symmetry on y-axis is represented by the following formula:

[tex](x',y') = (-x, y)[/tex], [tex]\forall \,x,y\,\in\mathbb{R}[/tex]

Thus, the vertices of the square [tex]B'C'D'E'[/tex] are [tex]B'(x, y) = (6,7)[/tex], [tex]C'(x,y) = (2, 6)[/tex], [tex]D'(x,y) = (3,2)[/tex] and [tex]E'(x,y) = (7,3)[/tex]

   Coordinates of the image square B'C'D'E' after reflecting the square BCDE across y-axis will be B'(6, 7), C'(2, 6), D'(3, 2), E'(7, 2).

If a point (x, y) is reflected across y-axis, rule to be followed,

(x, y) → (-x, y)

Following this rule coordinates of image square B'C'D'E' will be,

B(-6, 7) → B'(6, 7)

C(-2, 6) → C'(2, 6)

D(-3, 2) → D'(3, 2)

E(-7, 2) → E'(7, 2)

      Therefore, vertices of the image square will be B'(6, 7), C'(2, 6), D'(3, 2), E'(7, 2).

Learn more,

https://brainly.com/question/905639

Answer:

A unit rate is a rate where the second quantity is one unit, such as $34 per pound, 25 miles per hour, 15 Indian Rupees per Brazilian Real, etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.

Hope this helps :)

Answer:

Unit rates are like 2 liter per 30 min how much do you get in 1 hour 4

Step-by-step explanation:

Answer: ISN and TSW or TSN and ISW same thing so b and c

The pair ∠ISN, ∠ TSW, and ∠TSN, ∠ISW are opposite angles made by intersecting two lines so they will be the vertical angles.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Vertical angles are the opposite angles of two intersecting lines.

Vertical angles are always the same.

In the given figure ;

Line IT and NW are intersecting at S

So,

∠ISN = ∠ TSW (vertical angle)

∠TSN = ∠ISW (vertical angle)

Hence "The pair ∠ISN, ∠ TSW, and ∠TSN, ∠ISW are opposite angles made by intersecting two lines so they will be the vertical angles".

For more about the angle,

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Answer: (7, 9)

Step-by-step explanation: To solve this system, I would use addition.

To solve a system of equations by addition,

we need one of our variables to cancel out.

Notice that we have a 4x in our first equation.

If we had a -4x in our second equation, the x's would cancel.

To create a -4x in the second equation,

we must multiply the entire equation by -4.

So we have (-4)(x + 6y) = (61)(-4).

Rewriting this equation, we have -4x - 24y = -244.

Now let's rewrite both equations.

Now when we add the equations together, the x's cancel.

So we're left with -29y = -261.

Now divide both sides by -29 and we have y = 9.

To find x, we plug a y back in for x in either equation.

So let's go with our second equation, x + 6y = 61.

Plugging a 9 in for y, we have x + 6(9) = 61 or x + 54 = 61.

Subtracting 54 from both sides, we have x = 7.

So x = 7 and y = 9 which we can write as the ordered pair (7, 9).

Answer: (7,9)

Step-by-step explanation:

Took the  test :)

Answer:

Alternate exterior angles, 52.

Answer:

16 girls

Step-by-step explanation:

If you have 12 boys, and the ratio is 3;4, that means you multiplied 3 times 4. To find the answer to this problem, you need to multiply 4 by 4 because you multiplied 3 by 4, and you always have to multiply or divide by the same thing if its a ratio.