Cora is using successive approximations to estimate a positive solution to
f
(
x
)
=

g
(
x
)
, where
f
(
x
)
=
x
2
+
13
and
g
(
x
)
=
3
x
+
14
. The table shows her results for different input values of
x
.

Answers

Answer 1

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].

How to find a solution of two functions by direct inspection

According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:

[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]

[tex]-0.01[/tex]

As we need only two decimals, approximation seems to be reasonable.

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]

Remark

Statement is incomplete and incorrectly formatted, correct form is presented below:

Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:

x         f(x)           g(x)

 0         13             14

 1          14             17

 2         17             20

 3         22            23

 4         29            26

3.5     25.25       24.5

To learn more on numerical methods, we kindly invite to check this verified question: https://brainly.com/question/19034634


Related Questions

A line has this equation: y = -8x + 8,
Write an equation for the parallel line that goes through (9,7)

Answers

Parallel lines have the same slope
Y = -8x + 8
The slope will be -8
Therefore: y = -8x + b
Plug in the point
7 = -8(9) + b
7 = -72 + b, b = 79

Solution: y = -8x + 79
hello!

[tex]=======================================[/tex]

parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)

now, we are also given a point that the line passes through:

(9, 7)

we can use point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)

now, convert to slope-intercept form, if necessary:

[tex]\pmb{y-7=-8x+72}[/tex]

[tex]\pmb{y=-8x+72+7}[/tex]

[tex]\pmb{y=-8x+79}[/tex]

[tex]================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

what is the length of side c?

Answers

Answer:

try doing 18.1

Step-by-step explanation:

hope this helps

ABC has vertices at A(3.2), B(1.4), and C(2.7).

What will be the new vertices after a 90° counter clockwise rotation about the origin?​

Answers

Answer:

A = 1,4

B = 2,1

C = -4,-5

Step-by-step explanation:

The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5

9)A linear equation is graphed. What is the y-intercept of the linear
equation?
*

Answers

Answer: Choice C)  -1

This is where the diagonal line crosses the vertical y axis.

The y intercept always occurs when x = 0. The location of the y intercept in (x,y) form is (0,-1)

find the surface area

Answers

6,272, multiply 32 and 14 twice for multiple sides

PLEASE HELP ITS A TEST!!


Point A = (3, 4) Point B = (11,8)

Find the point on segment AB that is 3/4 of the distance from A to B

Answers

Answer:

b

Step-by-step explanation:

Which expression(s) result(s) in negative answer(s), when simplified?
Select ALL that apply.
-1+(-5)
2-(-4)
-3+2
+2
4+ (-2)
o 5-(-5)
06-(-1)

Answers

It’s the first one and the third one

K/-8 = -6
Can I have help on this.

Answers

Answer:

=48

Step-by-step explanation:

Answer:

k/-8=-6

k=-6*-8

k=48

Step-by-step explanation:

Type
the correct answer in each box.
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is
units. The point (-15, lies on this circle.

Answers

Answer:

radius = 17 units

equation of the circle =( x -h)^2 +(y -k) ^2 = r^2

or , (8 -(-7))^2 + (7-(-1))^2 = r^2

or, (8+7)^2 + (7 + 1)^2 = r^2

or, (15)^2 + (8)^2 =r^2

or, 225 + 64 = r^2

or 289 =r^2

or, 17^2 = r^2

or, r = 17 units

Please check the point by inserting centre(-7,-1) in place of (h,k ) and point in (x , y) and radius in r in the following equation

(x-h)^2 + (y - k)^2 = r^ 2.

396 divided by 11. Step by step explanation

Answers

Answer: 36

Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times

you have 6 left, so keep the 6 and drop down the other 6

next 11 goes into 66, 6 times making it 396/11= 36  

hope this helps

Answer:

36

Step-by-step explanation:

396 divided by 11 is equal to 36

      36

11/[tex]\sqrt{396\\}[/tex]

   - 33

      066

    -  66

         0

If 12 cans of cat food cost $40.00 then
how much would it cost for 60 cans ?

Answers

Answer:

$200.00

Step-by-step explanation:

because if you do a ratio:

12=40

60=?        

60 divided by 12 is 5, and whatever you do to the top you must do to the bottom, so then you gotta do 40 times 5=200

- 7th Grade Work -

Please answer with an equation that would represent the situation.

A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?

Answers

Answer:

7.75+1.25x=31.50

Step-by-step explanation:

so in the end the answer is 19

Answer:

19 refills

Step-by-step explanation:

7.75+1.25x=31.50

Subtract the 7.75 on the other side..

1.25x=23.75

Then divide 1.25 from the 23.75

So, x which is the refills equal 19

Plzzz I Need help ASAPPPPPPP

Answers

Answer:

1, 3, and 4 would be correct answers

Step-by-step explanation:

1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2

2.) -3x + 2y + 3y + 2 = -3x + 5y + 2

3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2

4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2

5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2

Hope this helps!

A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?

Answers

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

pls help pls for brainliest

Answers

i’m pretty sure it’s b

Answer:

I think the answer could be C

Step-by-step explanation:

Sorry if im wrong

The diameter of a circle is 12 cm. Find the circumference to the nearest tenth}to the nearest tenth.

Answers

Answer:

multiple by pie or 3.14........

Answer:

38 or 37.7 when not rounded

Step-by-step explanation:

I need help please. Whatever you can with the 1st question

Answers

What the other person said:)))))

Find the area of the triangle.
A right triangle has a base of 7 meters and a height of 6 meters.
7 m 6m

Answers

Answer:

7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters

Step-by-step explanation:

Formula of area of a triangle:

BH x 1/2

base x height x 1/2(basically just dividing by 2)

Answer:21 m2

Step-by-step explanation:

h= 6

b= 7

6x7= 42

42 divided by 2 = 21

Area= 21m

Plz help! No link plz! I need to finish fast!

Answers

There is a total of 8 pies so 8 is your denominator. And there is 6 apple pies so your answer is 6/8 but if you need it simplified your answer is
3/4

Simplify 12 − 32 + (5 − 1)2.
A) 12
B) 18
C) 19
D) 97

Answers

12-32+[5-1]x2

-20+4x2

-20+8

=-12

The simplified form of the given expression is -12. Therefore, option A is the correct answer.

What is simplify?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

The given expression is 12-32+(5-1)2.

Here, 12-32+4×2

= -20+8

= -12

Therefore, option A is the correct answer.

Learn more about the simplification here:

brainly.com/question/2804192.

#SPJ6

In the figure, d || m. What is the value of x?

Answers

Answer:

x = 53

Step-by-step explanation:

The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.

Opposite interior angles are congruent

This means that 2x - 20 = 86

This is our equation.

We now solve for x using basic algebra

2x - 20 = 86

step 1 add 20 to each side

-20 + 20 cancels out

86 + 20 = 106

now we have 2x = 106

step 2 divide each side by 2

2x / 2 = x

106 / 2 = 53

we're left with x = 53

What is -3y(y-8)(2y+1)=0

Answers

Step-by-step explanation:

(-3y^2+24y)(-6y^2-3y)

open the bracket and collect the like terms

-3y^2-6y^2+24y-3y

-9y^2+21y

3 men go to a hotel, the room price is 15 dollars so each man pays 5 bucks, but then the receptionist realizes there is a discount so the room is only 10 dollars, so she hands back 5 dollars, so each man decides to take a dollar each and give the receptionist a 2 dollar tip, now if you add what I have said up, you will realize there is a dollar missing, please someone help me figure this out, its been in my mind for days now

Answers

Answer:

He might have dropped it.

Step-by-step explanation:

If the manager didn't have any 5 dollar bills then he could have given him 3 dollars in ones and one 2 dollar bill. 2 dollar bills are rare now, he wanted the 2 dollar bill to keep for himself and also dropped one of the single dollar bills.

Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles​

Answers

Answer:

D 3,704

Step-by-step explanation:

Answer:

the answer is 3,704

Step-by-step explanation:

wouldn't you just multiply 483 by so the answer is 3,704

A transformation is a of a figure to the or​

Answers

Answer: change, position, shape

Step-by-step explanation:

If you solve this correctly I’ll give you brainliest!

Answers

I would consider the number 2

Need answer FAST!! (Something is incorrect in their work but I can’t figure it out) “Charlotte’s ice skates cost $30.45 less than her skateboard. Her ice skates cost $95.28. How much did her skateboard cost?”

Answers

Answer:

Skateboard costs 125.73$

Step-by-step explanation:

Which statement is true?
A) function is a relation where each output value is assigned to exactly one input value.
B) The domain of a function is the set of all output values, or y-values, for which the function is defined.
C)The range of a function is the set of all input values, or x-values, for which the function is defined.
D)To write the equation y = ax + b in function notation, substitute f(x) for y.

Answers

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A function is a relation where each input value is assigned to only one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

Which A, B, & C are wrong. So D, is the one that makes the most sense.

Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP) when X = 8? B) What is the Average Product (AP) when X = 6? C) At what value of X will Q be at its maximum? D) At what value of X will Diminishing Returns set in?

Answers

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]

At x = 8

MP = 72 + 30(8) - 3(8)²

     = 72 + 240 - 192

     = 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= [tex]\frac{Q}{x}[/tex]

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

                             = 72 + 90 - 36

                             = 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put [tex]\frac{dQ}{dx} = 0[/tex]

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x=28.9

Step-by-step explanation:

tan(61)=x/16

Yea it should be 28.9
Other Questions
For the year ended December 31, 2021, Norstar Industries reported net income of $960,000. At January 1, 2021, the company had 1,050,000 common shares outstanding. The following changes in the number of shares occurred during 2021: Apr. 30 Sold 80,000 shares in a public offering. May 24 Declared and distributed a 5% stock dividend. June 1 Issued 90,000 shares as part of the consideration for the purchase of assets from a subsidiary.Required: Compute Norstar's earnings per share for the year ended December 31, 2021. (Enter your answers in thousands. Round "EPS" answer to 2 decimal places. Do not round intermediate calculations.) The Treaty of Antarctica states that Antarctica shall be used for peacefulpurposes only"TrueFalse What is the output of this program?grades = [89, 70, 98, 100, 83]print(grades[-4])Group of answer choices891007098 ECRIRE UN DIALOGUE AImaginez une scne au supermarch entre une mre et son fils qui entre au CM2 et veut que celle-cilui achte un nouveau sac dos.Les rpliques de l'enfant se trouvent dans le tableau ci-dessous, vous de les remettre leur placeconvenable.Il est vingt heures et une foule dense envahit encore le rayon des fournitures scolaires en cetteavant-veille de rentre. Jrme a la liste du matriel acheter dans les mains. Sa mre le prvient: Nous avons un budget serr cette anne: il va dons te falloir tre raisonnable. Other than Europeans, what other immigrants came to live in Argentina? PLEASE HURRY!!!!! 50 POINTS!!!!!! NO LINKS!!!!!! ILL GIVE BRAINLIEST!!!!! COMPLETE AND CORRECT ANSWERS ONLY!!!!! PLEASE ANSWER BOTH QUESTIONS!!!!!!Read an excerpt from "Television and the Public Interest" and answer the question. The speech was delivered by Newton N. Minow, chairman of the Federal Communications Commission, to the nations television executives in 1961.[1] But when television is bad, nothing is worse. I invite each of you to sit down in front of your television set when your station goes on the air and stay there, for a day, without a book, without a magazine, without a newspaper, without a profit and loss sheet or a rating book to distract you. Keep your eyes glued to that set until the station signs off. I can assure you that what you will observe is a vast wasteland.[2] You will see a procession of game shows, formula comedies about totally unbelievable families, blood and thunder, mayhem, violence, sadism, murder, western bad men, western good men, private eyes, gangsters, more violence, and cartoons. And endlessly, commercialsmany screaming, cajoling, and offending. And most of all, boredom. True, you'll see a few things you will enjoy. But they will be very, very few. And if you think I exaggerate, I only ask you to try it.[3] Is there one person in this room who claims that broadcasting can't do better? Well a glance at next season's proposed programming can give us little heart. Of 73 and 1/2 hours of prime evening time, the networks have tentatively scheduled 59 hours of categories of action-adventure, situation comedy, variety, quiz, and movies. Is there one network president in this room who claims he can't do better?[4] The best estimates indicate that during the hours of 5 to 6 P.M. sixty percent of your audience is composed of children under twelve. And most young children today, believe it or not, spend as much time watching television as they do in the schoolroom. I repeatlet that sink in, ladies and gentlemenmost young children today spend as much time watching television as they do in the schoolroom. It used to be said that there were three great influences on a child: home, school, and church. Today, there is a fourth great influence, and you ladies and gentlemen in this room control it.[5] If parents, teachers, and ministers conducted their responsibilities by following the ratings, children would have a steady diet of ice cream, school holidays, and no Sunday school. What about your responsibilities? Is there no room on television to teach, to inform, to uplift, to stretch, to enlarge the capacities of our children? Is there no room for programs deepening their understanding of children in other lands? There are some fine children's shows, but they are drowned out in the massive doses of cartoons, violence, and more violence. Must these be your trademarks? Search your consciences and see if you cannot offer more to your young beneficiaries whose future you guide so many hours each and every day [6] You must provide a wider range of choices, more diversity, more alternatives. It is not enough to cater to the nation's whims; you must also serve the nation's needs. And I would add this: that if some of you persist in a relentless search for the highest rating and the lowest common denominator, you may very well lose your audience. Because the people are wise, wiser than some of the broadcastersand politiciansthink.Which two sentences provide evidence that what is on television is a "vast wasteland"? "You will see a procession of game shows blood and thunder, mayhem, violence, sadism, murder private eyes, gangsters, more violence, and cartoons." (paragraph 2) "There are some fine children's shows, but they are drowned out in the massive doses of cartoons, violence, and more violence." (paragraph 5) "Search your consciences and see if you cannot offer more to your young beneficiaries whose future you guide so many hours each and every day " (paragraph 5)What argument does Minow make in his speech? Parents should demand better programs for their children to watch in the evenings. The nation's children depend on television to entertain and educate them. The plumber charged Mrs. Evans $225.00 for materials and $35.00 an hour for labor to fix her leaky sink. The total bill came to $347.50. How many hours did it take the plumber to fix the sink? What needs to be done to help address hate crime? What do you generally see in a family when both parents are working?A)They are unable to afford a high school education for their childrenB)They are able to attend social functions with their childrenC)They do not easily give in to their children's tantrums.D)They may have difficulty devoting enough time to their children I need help with geometry Information in advertising is likely to have a ___________ A. Bias B. ConflictC. Positive message D. Negative message Which body of water does not form the Anatolian Peninsula?Caspian SeaMediterranean SeaBlack SeaAegean Sea Which best describes John C. Calhoun's attitude towards slavery?Slavery was a necessary evil.BSlavery was a good for everyone involved.Slavery was worse than work in textile mills.DSlavery should be abolished. What x and y equal to Differentiate 2x-4x^4 How long is a TABC certification valid Argue why electrode therapy is NOT the most effective treatment for brain disorders, and recommend an alternative treatment. 15y - 2y + 29 = 5y -27 ano ang dapat tandaan sa pagbuo ng plano ng proyekto ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE