A student uses the method of successive approximations to estimate a positive solution of f(x) = g(x), where f(x) = x2 + 10 and g(x) = 2x + 17. The table shows her results for different input values of x. x f(x) g(x) 0 10 17 1 11 19 2 14 21 3 19 23 4 26 25 3.5 22.25 24 Using this method, the next number selected should be between and .

Answers

Answer 1

Answer:

The next number selected should be between 2 and 3 .

Step-by-step explanation:

x. x    f(x)             g(x)

0        10               17

1           11              19

2          14              21

3          19              23

4         26             25

3.5      22.25        24

2.5      16.25         22

1.5       12.25        20

0.5       10.25       18

We see the pattern that it is increasing with only a unit. The last given data is mid of the last two values that is 3 and 4.

So the next value would be the mid of the next last two values that is 2 and 3 and will be 2.5

Now it is moving in the reverse direction in the same pattern  with a difference of a unit.


Related Questions

According to the area model, what's the probability of no pumpkins?

Answers

Answer:

2 out of 5 is the probability of no pumpkins

I need ASAP pleaseee

Answers

Answer:

A,C,E.

Step-by-step explanation:

slope=(-12-0)/(4-0)=-3

A.The slope is proportional.

C. Slope is negative.

E. The eq. of line is y=-3x

The Smith family went to the theater
to see a movie. Adult tickets cost
$12 and child tickets cost $9. If they
spent $72 total and purchased 7
tickets, how many of each
were purchased

Answers

Answer:

3 adult tickets and 4 child tickets

Step-by-step explanation:

a + k = 7

a = 7 - k

12a + 9k = 72

12a + 9k = 72

12(7 - k) + 9k = 72

84 - 3k = 72

84 - 3k = 72

3k = 12

k = 4

a = 3

The number of adult tickets purchased is 3 and the number of child tickets purchased is 4.

Given that, adult tickets cost $12 and child tickets cost $9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

If they spent $72 total and purchased 7 tickets.

Let the number of adult tickets be x, then the number of children tickets will be 7-x.

Now, 12x+9(7-x)=72

⇒ 12x+63-9x=72

⇒ 3x=72-63

⇒ 3x=9

⇒ x=3

So, 7-x=4

Therefore, the number of adult tickets purchased is 3 and the number of child tickets purchased is 4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Suppose you have £20,000 in cash to invest. You decide to short sell £10,000 worth of Coca-Cola and invest the proceeds from your short sale plus your £20,000 in Intel. The initial price of Coca-Cola is £40 and increases to £42.40 producing a return of 6%. The initial price of Intel is £25 and increases to £31.50 producing a return of 26%. How many shares of Coca-Cola have you short sold and how many shares of Intel do you currently have? Select one: a. Short sold 2,000 shares of Coca cola and invested in 80 shares of Intel b. Short sold 40 shares of Coca cola and invested in 400 shares of Intel c. Short sold 250 of Coca cola and invested in 1200 shares of Intel d. Short sold 300 of Coca cola and invested in 12000 shares of Intel

Answers

Answer:

hdshdhdbs sorry

Step-by-step explanation:

The number of shares of Coca-Cola short sold and number of Intel shares bought are c. Short sold 250 of Coca cola and invested in 1200 shares of Intel.

Data and Calculations:

Cash available for investment = £20,000

Proceeds from short sale of Coca-Cola = £10,000

Total funds available for investment = £30,000

Initial price of Coca-Cola per share = £40

Number of Coca-Cola shares short sold = 250 (£10,000/£40)

Initial price of Intel stock per share = £25

Number of Intel shares acquired = 1,200 shares (£30,000/£25)

Thus, you short sold 250 shares of Coca-Cola stock and invested in 1,200 shares of Intel stock.

Learnn more: https://brainly.com/question/17587674

Is -2 a polynomial or not

Answers

it is not a polynomial
Nope not a polynomial

what is the slope of the line that passes through the points (-5,8) and (-5,-2)

Answers

Answer:

Undefined

Step-by-step explanation:

From the graph shown, what is an approximate solution of the system of equations?

y = -0.5x + 4
y = 1 + 2x
A. (1.25, 3.4)
B. (2.25, 3.4)
C. (3.4, 1.25)
D. (3.4, 2.25)

Look at photo attached :)

Answers

Answer:

A. (1.25, 3.4)

The solution of the given system of equations is (1.25, 3.4). Thus, option A is correct.

What is the solution of the system of equations?

The solution of the system of equations is the value of x and y which satisfies the system of equations.

From the given graph, it can be observed that the scale of the x-axis and y-axis is 1.

The solution of the system of equations is the point on the graph where the lines intersect.

From the graph, it can be observed that the point of intersection of 2 lines is approximately (1.25,3.4).

Thus, the solution of the given system of equations is (1.25,3.4).

Learn more about solution of the system of equations here:

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Evaluate the expression on top. Pls need help

Answers

Answer:

the answer is 36!

Step-by-step explanation:

first, use the order of operations.

Parentheses

Exponents

Multiplying

Dividing

Addition

Subtraction

First, inside of parentheses. 3*2=6

then the exponent, which is 6*6, which equals 36.

The answer is 36. Hope this helped! Also would you mind marking brainliest? you don't have to. :D

Answer:

36

Step-by-step explanation:

(3x2)^2

(3x2)=6

(6)^2=6x6

36

If (a, b) is the solution to the system of equations, what is the value of b?
a-2b=24
6b=80-a

A)7
B)14
C)19
D)38

Answers

Answer:

answer is 14 not sure but i tried

if it is right mark me as brainliest

Parallelogram ABCD is undergoing a series of transformations. Which of the following transformations will NOT result in a shape congruent to parallelogram ABCD?
A. translation 4 units to the left
B. reflection over the y axis
C. dilation with a scale factor of 2
D. rotation of 270 degrees clockwise​

Answers

Answer:

C

Step-by-step explanation:

The answer would be C because dilation ( unless by 1 ) doesn't preserve congruence so every other answer that isn't dilation would be right and C would be the answer because the factor is 2 not 1.  

Please Help i will make brainliest if you help me

Answers

Answer:

Quadrants 3 and 4

Step-by-step explanation:

Quadrants 3 &4 represent negative integers. If 0 on the x axis represents the average/mean number of people there, then 3& 4 show the decrease from the average number.

PLS HELP ME
Match each equation with a solution from the list of values.

Answers

Answer:

1 question. will be 2.3

2 question. 2.6

3 question. 9.2

Here some answers sry i can't answer all

Answer:

Read the following:

Step-by-step explanation:

1. 2.3

2. 2.6

3. 9.2

4 .6.6

5. 1 and 5/8

6. 24

7. 8/5

hope this helps :)

Geometric Sequence S = 1.0011892 + ... + 1.0012 + 1.001 + 1

Answers

Answer:

[tex]S_{1893} =5632.98[/tex]

Step-by-step explanation:

The correct form of the question is:

[tex]S = 1.001^{1892} + ... + 1.001^2 + 1.001 + 1[/tex]

Required

Solve for Sum of the sequence

The above sequence represents sum of Geometric Sequence and will be solved using:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

But first, we need to get the number of terms in the sequence using:

[tex]T_n = ar^{n-1}[/tex]

Where

[tex]a = First\ Term[/tex]

[tex]a = 1.001^{1892}[/tex]

[tex]r = common\ ratio[/tex]

[tex]r = \frac{1}{1.001}[/tex]

[tex]T_n = Last\ Term[/tex]

[tex]T_n = 1[/tex]

So, we have:

[tex]T_n = ar^{n-1}[/tex]

[tex]1 = 1.001^{1892} * (\frac{1}{1.001})^{n-1}[/tex]

Apply law of indices:

[tex]1 = 1.001^{1892} * (1.001^{-1})^{n-1}[/tex]

[tex]1 = 1.001^{1892} * (1.001)^{-n+1}[/tex]

Apply law of indices:

[tex]1 = 1.001^{1892-n+1}[/tex]

[tex]1 = 1.001^{1892+1-n}[/tex]

[tex]1 = 1.001^{1893-n}[/tex]

Represent 1 as [tex]1.001^0[/tex]

[tex]1.001^0 = 1.001^{1893-n}[/tex]

They have the same base:

So, we have

[tex]0 = 1893-n[/tex]

Solve for n

[tex]n = 1893[/tex]

So, there are 1893 terms in the sequence given.

Solving further:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

Where

[tex]a = 1.001^{1892}[/tex]

[tex]r = \frac{1}{1.001}[/tex]

[tex]n = 1893[/tex]

So, we have:

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{1 -\frac{1}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{\frac{1.001 -1}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001}^{1893})}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} *(1 -\frac{1}{1.001^{1893}})}{\frac{0.001}{1.001} }[/tex]

Simplify the numerator

[tex]S_{1893} =\frac{1.001^{1892} -\frac{1.001^{1892}}{1.001^{1893}}}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} -1.001^{1892-1893}}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =\frac{1.001^{1892} -1.001^{-1}}{\frac{0.001}{1.001} }[/tex]

[tex]S_{1893} =(1.001^{1892} -1.001^{-1})/({\frac{0.001}{1.001} })[/tex]

[tex]S_{1893} =(1.001^{1892} -1.001^{-1})*{\frac{1.001}{0.001}}[/tex]

[tex]S_{1893} =\frac{(1.001^{1892} -1.001^{-1}) * 1.001}{0.001}[/tex]

Open Bracket

[tex]S_{1893} =\frac{1.001^{1892}* 1.001 -1.001^{-1}* 1.001 }{0.001}[/tex]

[tex]S_{1893} =\frac{1.001^{1892+1} -1.001^{-1+1}}{0.001}[/tex]

[tex]S_{1893} =\frac{1.001^{1893} -1.001^{0}}{0.001}[/tex]

[tex]S_{1893} =\frac{1.001^{1893} -1}{0.001}[/tex]

[tex]S_{1893} =5632.97970294[/tex]

Hence, the sum of the sequence is:

[tex]S_{1893} =5632.98[/tex] ----- approximated

Please help me with this question I’m giving brainliest.

Answers

Answer:

b should be the answer

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

I know thus because you go down 5/10 every time and 5/10 as a decimal is 0.5 which means the slope is -0.5

2 (4x+7) + 5 (x + 2)

Answers

Answer:

13x+24

Step-by-step explanation:

8x+14+5x+10

13x+24

Answer:

13x+24

Step-by-step explanation:

8x+14+5x+10

13x+14+10=

13x+24

What is the equation for a line that has a slope of 3 and passes through (-1, 9)

Answers

Answer:

the answer is y=3x+9 if you are looking for it to be in slope intercept form

very urgent

A construction worker drew a sketch he will use as he works.
Which statement is not true?
A. The distance from the ground to the pipe is 2.5 feet.
B. The distance between the pipe and the rope is 1 foot.
C. The distance between the ground and the rope is 5 feet.
D. The distance from the ground to the pipe is 1 foot less than the distance from the ground to the rope.

Answers

Answer:

wheres the word problem portion of the question

Step-by-step explanation:

tell me and I'll be happy to answer you


Find an equation for the line perpendicular to the line 8x - 6y = -2 having the same y-intercept as - 6x + 2y = 4.

Answers

The answer is
3 x - y + 2 = 0






Hope this helps :)
3x-y+2=0 is ur answer

Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84

Answers

Step-by-step explanation:

can u help me In one question

1.) x=-8
2.) y=1.5

i believe

Mr. Simpson’s faucet is leaking. It leaks 3/4 cup of water every 1/2 hour

Answers

Answer:

3/2 or 1.5 each hour

Step-by-step explanation:

3/4/1/2

=6/4

=3/2

=1.5

or

3/4*2=

1.5

25 points!!!Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

|w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°

Answers

Answer:

D. |w| = 14.2; θ = 107.1°

Step-by-step explanation:

EDGE 2020

Please help it’s due

Answers

Answer:

c,

Step-by-step explanation:

have a good day, glad I could help :)

Plz help I will mark branliest

Answers

The last one.

........

What is the Product of 2+√-121 And 3+√-64? Must be written as a complex number in standard form.​

Answers

Answer:

6+38i

Step-by-step explanation:

answers as soon as possible thanks​

Answers

Answer: You need to add the question

Step-by-step explanation:

to get the answer I cant see the question that well

Is -51/5 rational or irational

Answers

Answer:

Rational

Step-by-step explanation:

Answer:

Step-by-step explanation:

its written as a ratio of two integers, so its a rational number.

27 Which equation best represents the relationship between x and y in the graph?
А у 3х + 3
в у 3х - 1
суз
0 - 3x - 1

Answers

Answer:

Pls attach graph

Step-by-step explanation:

H. C. F of 20,40 and 50​

Answers

Answer:

10

Step-by-step explanation:

HCF of 20, 40 & 50:

20: 1, 2, 4, 5, 10, 20

40: 1, 2, 4, 5, 8, 10, 20, 40

50: 1, 2, 5, 10, 25, 50

HCF: 10

Topic: HCF and LCM

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. How many more centimeters does Sarah need to grow before her next birthday to reach 5 feet? Complete the sentences to answer the question.
Since 5 feet equals____ inches and 1 inch is about 2.54 centimeters, there are centimeters in 5 feet. Therefore, Sarah needs to grow ___ centimeters to reach 5 ft.

Answers

5 feet = 60 inches

Sarah needs to grow 6 more centimeters.

Answer: So since 5 feet equals 60 inches and 1 inch is about 2.54 centimeters, there are centimeters in 5 feet. Therefore, Sarah needs to grow 6 more centimeters to reach 5 feet. I hoped this helps!! :D

Step-by-step explanation:

Find the greatest common factor of 12, 18, 26.

Answers

Answer:

2

Step-by-step explanation:

Answer:

The answer is 2. Hope this helps you out!

Step-by-step explanation:

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