Select the correct answer. Consider these equations: f(x)=[tex]x^{3}[/tex]+3 g(x)=[tex]x^{2}[/tex]+2 Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use this graph as a starting point.

Select The Correct Answer. Consider These Equations: F(x)=[tex]x^{3}[/tex]+3 G(x)=[tex]x^{2}[/tex]+2

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

[tex]x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}[/tex]

Hope this helps!

Answer 2

Answer:

-13/16

Step-by-step explanation:

f(x)=x^3+3

g(x)=x^2+2

We know the solution is around -1

x^3+3 = x^2 +2

Subtract x^2+2 from each side

x^3 -x^2 -1 = f(x)

We need to find the derivative

3x^2 -2x = f'(x)

Newtons method of successive approximation states

xn+1 = xn -f(xn) / f'(xn)

Function

x3−x2+1

Derivative

x⋅(3⋅x−2)

x

-0.75488

Iterations

Step x F(x) |x(i) - x(i-1)|

x1 -0.8      -0.152000 0.152000

x2 -0.75682 -0.006259 0.006259

x3 -0.75488 -0.000012 0.000012

The approximate answer is -0.75488

The closest answer given is -13/16


Related Questions

write a rule for the nth term of the sequence 15, 19, 23, 27

Answers

Answer:

aₙ= 4n+11

Step-by-step explanation:

the sequence 15, 19, 23, 27

is AP with the first term 15 and

the common difference 19-15=23-19=27-23= 4

aₙ= a₁+(n-1)d

aₙ= 15+(n-1)*4= 15+4n- 4= 4n+11

aₙ= 4n+11

Find any 6 ratinol numbers between -5/6 and 5/8​

Answers

Answer:

There is a variety of answers. you will find an example below

Step-by-step explanation:

To find the rational numbers between 2 fractions/rational numbers, we have to find the LCM of the denominator, which would increase the value of the numerator. This way you will have more rational numbers between the two.

- 5/6 = -40 / 48

5 / 8 = 30 / 48

Now, we can notice that there is a difference of 70 between the 2. this means you may choose 6 out of these. Here is an example(some of them are simplified)

5/16, 5/8, 7/48 , 1/6 , 2/6, -1/2.

Hope this helps

True or false All irrational numbers are real numbers. Explain

Answers

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers. Irrational numbers can also be expressed as non-terminating continued fractions and many other ways.

The answer is True

The statement that all irrational numbers are real numbers is true.

Real number is a union of rational number and irrational numbers.

An irrational number is a number that cannot be expressed as a fraction or ratio of two integers. All the root values, repeating values, comes under irrational numbers.

Since irrational numbers can still be plotted on the number line, they are considered real numbers. Therefore, all irrational numbers are also real numbers.

Thus, all irrational numbers are also real numbers.

Yes, the given statement is true.

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Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem: 171 divided by 3.8 Jacob started by multiplying the divisor and the dividend by 10. This is the new problem: 1710 divided by 38 Use long division to find the quotient. 0.45 4.5 45 450

Answers

See the attached picture

Answer:

45

Step-by-step explanation:

(i just highlighting the answer from the other person's paper)

On a compass, what bearing is South East?​

Answers

A bearing of 168.750° south by east

The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up

the time daniel spent gradually slowing down.

Daniel's fastest rate of speed during his ride.

The time Daniel spent at the ballpark.

Answers

the slope of the line between c and d are  a constant meaning that he must have been riding at the same speed or something

d

Answer:

On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.

Hey so im really confused on how to rewrite problems into radical form, so I was wondering if anyone would be able to show me how to do It step by step?

Answers

Answer:

Step-by-step explanation:

Ok so, I'll try to make this explanation super simple for you.

The denominator will always go on the outside and the numerator will be on the inside. Let me give you an example.

Take x^2/3. The answer will be 3√(x^2). Do you see how the 3 is on the outside and the 2 is on the outside?

Take p^4/5. The answer will be 5√(p^4).

I hope this gives you a clear understanding.

URGENT!!! A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c for child

a for adult

4c+ 6a ≤ 120  for build

4c +4a ≤ 100 for test

We want 20 child and 6 adult

4(20)+ 6*6 ≤ 120

80+36  ≤ 120

116  ≤ 120   true for build

4*20 +4*6 ≤ 100

80+24  ≤ 100

104 ≤ 100

False for test

Answer:

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

What is the HCF of 36 81?

Answers

Answer:

9

Step-by-step explanation:

Let us look at the factors of each of these

36:

1 and 36

2 and 18

3 and 12

4 and 9

81:

1 and 81

3 and 27

9 and 9

When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.

Answer: hope that's right

HCF OF 36 81 = 9

Step-by-step explanation:

Steps to find HCF:

Find the prime factorization of 36 36 = 2 × 2 × 3 × 3

Find the prime factorization of 81 81 = 3 × 3 × 3 × 3

To find the HCF , multiply all the prime factors common to both numbers:

Therefore, HCF = 3 × 3

Please help please :( I will really appreciate it thank you

Answers

Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

Please help. Posting question below will mark brainiest and 25 points!!!!!!

Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides

Answers

Answer:

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘.

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x − 2=50 − x⇒x = 13

(3x−2)∘ = 3(13)−2 = 37∘

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180−37=143∘

The measure of each angle of the parallelogram.

37∘ , 143∘ , 37∘ , 143∘

Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?

Answers

Answer:

65p

Step-by-step explanation:

375 divided by 750=0.50

0.50+15=65p

Answer:

0.65

Step-by-step explanation:

750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65

Which value is NOT equivalent to the other values?

A: 1.5
B: 15%
C: 3/20
D: 0.15

Answers

Answer:

A

Step-by-step explanation:

1.5 does not equal 0.15 or the other values.

1.5 is not equal because it is greater than 15 and all the other choices equal 15

What is another word for magnitude ​

Answers

Answer:

Step-by-step explanation:

Magnitude means size. Its a scalar quantity which means it is always positive and has no specific direction

Lets say you are driving East at 30 miles per hour. The magnitude would be 30. Same thing for going West. Youre technically going in the negative direction, but the magnitude is still 30

Another word for magnitude is "size" or "extent."

We have,

Magnitude refers to the size, quantity, or intensity of something.

It is a measure of the absolute value or scale of a particular attribute or characteristic.

In various contexts, magnitude can refer to physical quantities such as length, mass, or force, where it describes the amount or extent of that particular quantity.

It can also be used to describe the intensity or severity of events or phenomena, such as the magnitude of an earthquake or the magnitude of a problem.

Essentially, magnitude provides a sense of the relative scale or importance of something within a given context.

Thus,

"size" or "extent." are the other words for magnitude,

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step 1

a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.

Answers

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

Answers

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.

The equation of the graphed line is..... x+......y=4 ANSWER FAST PLZZXZZ FILL IN THE BLANKS (DOTED LINE)

Answers

Answer:

x+2y=4

Hope this helped

Solve 5 + x - 14 = x - 7

Answers

Answer:

No solution

Step-by-step explanation:

5+x-14=x-7

-9+x=x-7

2+x=x

2=0

No solution

What is the measure of the supplementary angle of the 65˚ angle?

A.50˚
B.40˚
C.130˚
D.310˚

Answers

Answer:

115

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore, if we call the other angle x:

x+65=180

x=180-65=115 degrees

Hope this helps!

Answer:

None of them

Step-by-step explanation:

Supplementary angles have 180 degrees

50+65=115

40+65=105

130+65=185

310+65=375

What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds

Answers

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;

[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]

2 and three-fourth therefore gives the required expression

Answer:

2 and three-fourths

Step-by-step explanation:

Given the expression , the equivalent expression can be gotten as shown;

Step-by-step explanation:

The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?

Answers

Answer:

$12.75

Step-by-step explanation:

Skubic Family-

22.75 = 5.25 + 7x

17.5 = 7x

2.5 = x

Therefore the cost for each person is equal to $2.5

Shaw Family-

2.5(3) + 5.25

7.5 + 5.25 = $12.75

Answer:

$12.75 is answer c

Step-by-step explanation:

5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)

Answers

hope it helps you :-)please mark me as brainliest :-) | (-:

What is the quotient of y/4 divided y/8

Answers

Answer:

2

Step-by-step explanation:

when you divide fraction, you flip the second fraction and change to multiply

y/4 *8/y =8/4 =2

Answer:

2

Step-by-step explanation:

[tex]\frac{y}{4}[/tex]÷[tex]\frac{y}{8}[/tex]

= [tex]\frac{y}{4}[/tex] × [tex]\frac{8}{y}[/tex]

= [tex]\frac{8y}{4y}[/tex]

= 2

Hope this helps <_>

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)? Help please☹

Answers

Answer:

y=3/4x+17/4

Step-by-step explanation:

Answer:

y = (3/4)x + 17/4

Step-by-step explanation:

The slope-intercept form of the equation of the line is  y = ax + b

This line passes (-3, 2) and (1, 5)

=> 2 = a(-3) + b

=> 5 = a(1) + b

Subtraction 1st equation from 2nd equation, we have:

3 = 4a

=> a = 3/4

From 2nd equation, we have: 5 = 3/4 + b

=> b = 5 - 3/4 = 17/4

=> y = (3/4)x + 17/4

Hope this helps!

Need help fast
(X-5)^2+11=20

Answers

Answer:

X= 8, 2

Step-by-step explanation:

So, to solve answers like these you have to have to take the root of both sides and then solve.  Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes.  Hope this helps!!

Answer:

Answer: (x-2) • (x-8)

(X-5)^2+11=20

Step by Step explanation:

1. 1 • 16 = 16

2. Find two factors of 16 which will be -10

-16 + -1 = -17

-8 + -2 = -10

3. x2 - 8x - 2x - 16

4. x • (x-8)

2 • (x-8)

5. (x-2) • (x-8)

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Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?

$___

Answers

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

I’ll mark you brainliest help!!! Which function is increasing?

Answers

Answer:

the answer is D. have a nice day :)

Since 3 is the largest number out of all of them. D. is the correct answer. :))

The output or possible values you could get as a result from
an expression or equation.

Answers

Answer:

The Solution Set

Step-by-step explanation:

Despite missing some context, the output we could get as result of an expression/equation it is what we call a Solution set. A set which makes the initial statement of equation/expression true, therefore valid.

[tex]x^{2} -7x+12=0\\(x-3)(x-4)=0\\S=\{3,4\}[/tex]

Therefore, the elements of the Solution set, 3 and 4 when plugged into the equation make the statement of the quadratic equation true.

[tex](3)^{2}-7(3)+12=0\\-12+12=0\\0=0[/tex]

The output or possible values you could get as a result from an expression or equation is the solution set of the equation

Take for instance, we have the following equation

[tex]x^2 = 4[/tex]

When solved, the equation becomes

[tex]x = \pm 2[/tex]

This can be rewritten as:

[tex]x = \{-2,2\}[/tex]

This means that -2 and are the solution set of the equation [tex]x^2 = 4[/tex]

Hence, the output or possible values are called solution set

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What is the base of a triangle with a height of 14 cm and an area of 42 square cm?

Answers

Answer:

[tex]6cm[/tex]

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times height \\ 42 = \frac{1}{2} \times b \times 14 \\ 42 = \frac{14b}{2} \\ 42 = 7b \\ \frac{42}{7} = \frac{7b}{7} \\ base = 6cm[/tex]

hope this helps

Answer:

6

Step-by-step explanation:

What is the solution to this system of linear equations? x + y = 4 x − y = 6 (4, 6) (6, 4) (5, −1) (−1, 5)

Answers

Answer:

x= 4 y = -1

(5,-1)

Step-by-step explanation:

x + y = 4 x − y = 6

Add the two equations together to eliminate y

x + y = 4

x − y = 6

---------------

2x = 10

Divide by 2

2x/2 = 10/2

x = 5

Now find y

x+y = 4

5+y = 4

Subtract 5 from each side

5+y-4 = 4-5

y = -1

Answer

5,-1

Step-by-step explanation:

edg 2020

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