Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.

Answers

Answer 1

Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

What is the Bisection Method?

The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.

Given the equation:

x² - 4x - 10 = 0.

Applying the bisection method, we would have the following:

x² - 4x + (2²) - (2²) - 10 = 0

(x - 2)² - 14 = 0

Add 14 to both sides

(x - 2)² = 14

Take the square root of both sides

x - 2 = ±√14

x = 2 ± √14

x = 2 - √14 = -1.74

or x = 2 + √14 = 5.74

Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.

Learn more about bisection method on:

https://brainly.com/question/13314803


Related Questions

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 1 inches. What is the probability that the height of a randomly chosen child is between 53.3 and 55.3 inches

Answers

Answer:

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Please somebody help me. I’m begging.

Answers

Answer:

d=1

Step-by-step explanation:

d=2*r

r=(1/2)

d=2*(1/2)=1

Spencer divided his baseball cards equally among 4 friends. Each friend received 16 cards. To find the number of cards c that Spencer had originally, he solved the equation Ask Your Teacher. How many baseball cards did Spencer originally have?

Answers

Answer:

64 cards

Step-by-step explanation:

16*4 = 64

Answer:

64!!

Step-by-step explanation:

Reason? If spencer devided amongst all of his friends of 4, and they all recieved a total of 16, then you work backwards! 16*4=64! Or, just do the amount they got, 16, and multiply by the number of friends, 4, and you should get the answer!!

Hope this helps! (brainliest please)

The percentage error in measuring a clothe is 40% if the error committed is 10cm what is the original Value of the measurement??​

Answers

25
cross multiply:
40% - 10
100% - x
so 40x = 1000
x=25

Can somebody help me I’m confused on how solving the equation

Answers

Answer:

You answer is.

(d)YesA = -9

Step-by-step explanation:

Example Problem.

y = 2^ (x - h) + k

y = 8^(x-0) - 9

The h = 0 so there no transition left/right.

There is a k = -9 which means transition down/up but it is a negative so down.

Domain: all real number ( -inf , +inf)

Range: (k, inf) -> (-9, +inf)

k = -9 is also y=-9 that the graph can't pass.

could i have some quick help factoring trinomials?

Answers

Solution 1

6x² + 34x -126x² + 36x -2x -126x(x+6)-2(x+6)(6x-2)(x+6)

Solution 2

48c²-160c+10012c² - 40c + 2512c² - 30c -10c + 256c(2c-5) -5(2c-5)(6c-5)(2c-5)

Solution 3

-6x-51xy+27xy²3x(-2-17y+9y²)3x(-2-18y+y+9y²)3x(-2(1+9y)+y(1+9y))3x(9y+1)(y-2)

#1

6x²+34x-126x²+36x-2x-126x(x+6)-2(x+6)(x+6)(6x-2)

#2

48c²-160c+100

Cancel by 4

12c²-40c+2512c²-30c-10c+25(2c-5)(6c-5)

#3

-6x-51xy+27xy²3x(-2x-17y+9y²)

ANSWER QUICK FOR A. AND B. !

Answers

Answer: a=4

b=1600x

Step-by-step explanation:

mollie wants to measure the capacity of the kitchen sink she has a 1 L container and a 10 mL container which should she use

Answers

Answer:

1 L

Step-by-step explanation:

Kitchen sinks are pretty large in terms of volume in Liters

use the 1 L container

PLEASE HELP ME 100 POINTS AND BRAINLY!!!

Answers

Answer:

1. 220 minutes

2. $45.6

Step-by-step explanation:

Find 13x2/5
Please answer this in 5 min

Answers

Answer:

5.2 I hope this helps. Im not the best at math...

Answer:

the answer should be like 5.2 or something close to that.

Step-by-step explanation:

i tried doing the math no promises that its right..

You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?

Answers

28/4=10%x
7=10%x
7•10=x
x=70

Help plssssssssssssssssssss I NEED THIS TODAY!! PLS

Answers

Answer:

The first 1 is the answer (a)

Step-by-step explanation:

A is correct have a good day

Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%

Answers

Answer:

what is the question?

do you have to find how much she is investing?

What is the median for the following set of data?

4, 4, 6, 10, 12, 13, 15, 16



a 12

b 10

c 11

d 16

Answers

Answer:

C

Step-by-step explanation:

The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.

Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2

[tex]\frac{10+12}{2} =\frac{22}{2} =11[/tex]

An item on sale costs 60% of the original price. If the original price was $30, what is the sale price?
si
Х 5 ?

Answers

Answer: $18

Step-by-step explanation:

60% of original cost means 40% is taken off

40% = 0.4

30 x 0.4 = 12 so that is how much will be taken off

30-12= 18

$18

1) Zero helps mark directions in value Choose ALL contexts that correctly describes zero.

A) elevation:0 feet is called the ground floor

B bank account below 5D is a
negative balance

C)electricity an object that has 0 charge is neutral

D) buildings on an elevator, o represents the sea level
temperature temperature above is a negative temperature

E) temperature : temperature above 0 is a negative temperature

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

bank account and electricity

Step-by-step explanation:i tried the other one and it was all incorrect

i need help please i am giving 100 points and brainliest

Answers

Answer:

-3

Step-by-step explanation:

-7x + 4x = 9

-3x = 9

x = 9/(-3)

x = -3

MARK ME AS BRAINLIST
firstly, you want to add: -7x+4x= -3x
2nd: divide -3 on BOTH sides which would look like:
-3x=9
- -
-3 -3
which would then equal
x= -3

Find the quotient of 3/5 and 2/3
Give your answer as a fraction in its simplest form.

Answers

The quotient is 9/10

Plutonium-240 decays according to the function Q(t) = Qoe^-kt
where Q
represents the quantity remaining after t years and k is the decay constant,
0.00011... To the nearest 10 years, how long will it take 36 grams of
plutonium-240 to decay to 12 grams?

Answers

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

__

  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

Solve the system of equation.

+3=17
x
+
3
y
=
17

−+2=8

x
+
2
y
=
8



Step 1: Find the LCM to eliminate the x.

Step 2: Write the new equation.

Step 3: Divide to solve for y.

Answers

Answer:

Equation 1:   x + 3y = 17

Equation 2:  -x + 2y = 8

Add Equation 2 to Equation 1:

     x + 3y = 17

+   -x + 2y = 8

           5y = 25

Divide both sides by 5:

[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]

[tex]\sf \implies y=5[/tex]

Find the area of the figure below. Show all work for each step. Work should inc
radical. Take your time and be thorough. Include units in final answer.
(-5√2+5√5) ft
(3√2 + 4√5) ft

Answers

Answer:

[tex]5\sqrt{10} +70[/tex] ft

Step-by-step explanation:

AREA = LENGTH x WIDTH

[tex](-5\sqrt{2}+5\sqrt{5})(3\sqrt{2} +4\sqrt{5} )[/tex]

[tex]-15(2)-20\sqrt{10} +15\sqrt{10} +20(5)[/tex]

[tex]-30-5\sqrt{10} +100[/tex]

[tex]5\sqrt{10} +70[/tex]

Important things to keep in mind:

[tex]\sqrt{2} (\sqrt{2} )=2(2)=4[/tex]    Radical goes away (same #)[tex]\sqrt{2} (\sqrt{5})=\sqrt{10}[/tex]          

help me help me help me​

Answers

Answer:

read step by step

Step-by-step explanation:

6 is +4.

19, 23, 27, 31

7 is all perfect square numbers

25, 36, 49, 64

8 is x2.

32, 64, 128, 256

9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12

so the next few would be 30, 42, 56, 72

Performance Matters
Welcome, GUILLERMOI
Question 14 of 25
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2021-2022 T-Math-Alg1-Comprehensive-CBT: Section 2 - Calculator ...
Question 2-14
Andy and Brett are selling tickets to their high school baseball game
• A total of 234 tickets were sold to the game
• Student tickets cost $5 each
. General tickets cost $ each
. The total revenue from ticket sales was $1268
Which statements are true? Choose all that are correct
The total revenue from the student tickets was $925.
A total of 185 student tickets were sold.
Olfg is the number of general tickets sold and s is the number
11
student tickets sold, the total revenue generated by the student and general tickets can be represented by the oquation 58 + 79 = 1,268
O Atotal of 98 general tickets were sold.
The revenue from the general tickets was greater than the revenue from the student tickets.
Ifg is the number of general tickets sold and s is the number of student tickets sold, thens + g = 234
POUS
Type here to search
O
BI

Answers

Answer:

the 1st, 2nd and 6th statements are true.

and probably the 3rd statement is true.

I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.

but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.

if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.

Step-by-step explanation:

g = number of general tickets sold

s = number of student tickets sold

so, in total

g + s = 234

tickets were sold.

and the revenue was

7g + 5s = $1,268

out of these 2 basic equating we get

g = 234 - s

and then

7(234 - s) + 5s = 1,268

1,638 - 7s + 5s = 1,268

-2s = -370

s = 185

g = 234 - s = 234 - 185 = 49

so, we know

185 student tickets were sold for 5×185 = $925

49 general tickets were sold for 7×49 = $343

Drag each equation to the correct location on the table.
Match the inequalities with the value of a for which they hold true.
2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
4 + 3a + 8 < 16
3a − 2a + 1 > 2
14 + 5a < 12a + 1

Answers

a=1

-2a + 3 < 9 − 3a

5a − 4a + 6 < 8

2a + 3 > 10 − 3a

a=2

-4 + 3a + 8 < 16

14 + 5a < 12a + 1

3a − 2a + 1 > 2

Paige used 1 1/2 cups of flour and 1/4 cup of butter to make 12 muffins. How much flour and butter would palat
need for 18 muffins?

A. 3 cups flour and 3/4 cup butter

B. 2 3/4 cups flower and 1/8 cup butter

C. 2 cups flower and 1/2 cup butter

D. 2 1/4 cups of flower and 3/8 cup butter

Answers

Answer:

D

Step-by-step explanation:

To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.

Calculating the Surface Area of Prisms
4 yd
2 yd
5 yd.
3 yd
3 yd.
Find the surface area of the prism above.
I need help please someone!!

Answers

the answer you are going to select is 4yd
Answer:

360 yd

Multiply all numbers to get 360 yd

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown on the following table. Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75 Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Which arrangement of sales would cause Arderi Air Conditioning to break even? a. Mary sells 54 units; Jay sells 51 units; Abby sells 43 units b. Mary sells 54 units; Jay sells 43 units; Abby sells 51 units c. Mary sells 43 units; Jay sells 51 units; Abby sells 54 units d. Mary sells 43 units; Jay sells 54 units; Abby sells 51 units Please select the best answer from the choices provided

Answers

The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

What is a break even point?

The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,

Cost price C=$61.25Sells price S=$142.50

Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.

Salesperson  Commission/Sale     Mary            $36.25     Jay               $28.50   Abby              $25.75

It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,

[tex]n=51+43+54\\n=148[/tex]

Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,

[tex]R=148\times142.50\\R=21090[/tex]

The cost price is  $61.25. Thus, the cost of production of 148 units is,

[tex]R=148\times61.25\\R=9065[/tex]

Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells  units; Abby sells 54 units. Thus, the total cost,

[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]

The total cost is equal to the total revenue. This point is break even point.

Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

Learn more about the break even point here;

https://brainly.com/question/21137380

#SPJ1

Answer:

c.

Mary sells 43 units; Jay sells 51 units; Abby sells 54 units

show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.

thankyou! :)​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given function is :

[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]

here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.

but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]


Reason Does the division 25/6 have a remainder?
How do you know?


Answers

Answer:

Yes

Step-by-step explanation:

If you divide 26 by six, you get s decimal smaller than 5. Remember, 5*5=25. 6*5=30, so that doesn't work. 6*4=24, so that does. Then you get four with a remainder of one.

I’m confused can someone help?

Answers

Answer:

(a) check the first one, and the second one

(b) check the last one

Step-by-step explanation:

This is quite easy actually.

(A)

3x+24 = 3 * x + 3 * 8

3(x+8) using distribute property.

3x + 24

You cannot simplify 3x+24 any further

And 3(8x+1) just doesn't work

since it's multiplying

The "*" is an X sign

(B)

The first, second, and third are not correct

But the last one is.

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