Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

Answers

Answer 1

Answer:

f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

Step-by-step explanation:

From the question we are told that

   The equation is [tex]f(x) = e^x - 3-2x [/tex]  

    The interval is  [0, 1]

Generally f(0) is  

      [tex]f(0) = e^0 - 3-2(0) [/tex]

=>   [tex]f(0) = 1 - 3-2(0) [/tex]  

=>    [tex]f(0) = -2[/tex]  

Generally f(1) is

       [tex]f(1) = e^1 - 3-2(1) [/tex]

       [tex]f(1) = e^1 - 1 [/tex]

       [tex]f(1) = 1.718 [/tex]

From the value we see that at x =  0  , f(0) =  -2 which is below the x-axis

    and  the  at  x = 1  , f(1) =  1.718  which is above the x-axis

Now  the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval  such that

    f(c) =  0  


Related Questions

y=5x-7
-3-2x=12 for x

Answers

Answer:

4 2/3

lmk if this is correct or not

Step-by-step explanation:

5x-7-3-2x=12

5x-4-2x=12

3x-2=12

3x=14

14/3

x=4.666 or 4 and 2/3

A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.

I NEED HELP FOR MY TEST!

Answers

I cannot see the table. But if I could that would be helpful.

But, if you were to look at the table see if the numbers are increasing or decreasing for the y column. Once you figure this out, find out how much the numbers are increasing/decreasing by and that should be the answer for the constant of proportionality. If it is decreasing, it would be a negative number. If it is increasing, it would be a positive number.

Find the cost price. selling price 6097 loss percent=9%​

Answers

Answer:

6645.73

Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73

6645.73 I think................

The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?​

Answers

Answer: 42

Step-by-step explanation:

The required perimeter of the regular hexagon is 42 m.

Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.

What is the perimeter?

Perimeter is the measure of the figure on its circumference.

here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42

Thus, the required perimeter of the regular hexagon is 42 m.

Learn more about perimeter here:

brainly.com/question/6465134

#SPJ2


y=-4/5x-5..........................,........

Answers

Answer:

what is the question exactly?

Step-by-step explanation:

you just gave me an equation to work with

Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answers

Answer:

0.91924

Step-by-step explanation:

Given that :

A normal distribution has ;

Mean (m) = 109.0 inches

Standard deviation (σ) = 10 inches

Sample size (n) = 25

Probability that randomly picked years is less than 111.8 inches

Using the Zscore relation :

Zscore = (x - m) / (σ/√n)

x = score = 111.8 inches

Zscore = (111.8 - 109.0) / (10/√25)

Zscore = (2.8) / (10/5)

Zscore = 2.8 / 2

Zscore = 1.4

P(Z < 1.4) = 0.91924 ( using z probability calculator)

P(Z < 1.4) = 0.91924

I don’t understand what this means

Answers

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

Can someone explain the snake method, I don't understand how to do it

Answers

Answer:

x ∈ [−2; 1] ∪ 3.5

Step-by-step explanation:

Given

Inequality: (x-1)(x+2)(2x-7)≤0

Solution:

If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots

x =  -2, 1, 3.5

We need to consider the following 4 intervals:

(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)

1st interval (−∞; −2)

The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore  does not satisfy the inequality.

2nd interval  [−2; 1]

The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.

3rd interval (1; 3.5)

The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.

4th interval

The expression is positive as above, and therefore also does not satisfy the inequality.  

So, the answer to the inequality is:

x ∈ [−2; 1] ∪ 3.5

Factorise fully
-y - 6


this is my last question for today, right answer will be marked brainiest​

Answers

Answer:

[tex]-(y+6)[/tex]

Step-by-step explanation:

[tex]-y-6\\\\=-(y+6)[/tex]

Answer:

-(y+6)

Step-by-step explanation:

[tex] - y - 6[/tex]

Common factor : -1

[tex] - 1(y + 6) = \\ - (y + 6)[/tex]

The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55

Answers

Answer:

[tex]P(X = 5) = 0.166[/tex]

Step-by-step explanation:

Given

[tex]Mean = 4.3[/tex]

[tex]x = 5[/tex]

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

Where

[tex]\alpha[/tex] is used to represent the mean

and

[tex]\alpha = 4.3[/tex]

[tex]x = 5[/tex]

[tex]e = 2.71828[/tex] ---- Euler's constant

So, we have:

[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]

[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]

[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]

[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]

[tex]P(X = 5) = 0.1662248752[/tex]

[tex]P(X = 5) = 0.166[/tex] Approximated

Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?

15x > 8(x + 25)

15x > 8x + 25

15x > 8 + 25x

15x < 8x + 25

Answers

Answer: 15x > 8(x + 25)

that is what i think i am not very good a math sorry

Step-by-step explanation:

Answer:

15x > 8(x + 25)

Step-by-step explanation:

I think this is the answer

!!!!HELPPPPPPPP ASAP!!!!

Answers

Answer:

first one is -1

second one is 0

third one is  6

last one is 2

Step-by-step explanation:

Marking Braniest!!! What is 100÷4÷4÷4

Answers

Answer:

1.5625

Step-by-step explanation:

100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625

Answer:

1.5625

This is what I think is the answer

The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.

Answers

Answer:

Trophic Level

Step-by-step explanation:

The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.

Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.

Answers

Answer:

8:12

Step-by-step explanation:

It's a ratio!

How many red is there? 8!

How many blue is there? 12!

So red to blue is 8:12!

Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).

Step-by-step explanation: it is the answer edmentum gave me


Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.

Answers

Answer:

Option (B)

Step-by-step explanation:

Given number is 6642.

Number at ones place = 2

Number at tens place = 4

Number at hundredth place = 6

Number at thousand place = 6

Value of the number at tens place = 4 × 10 = 40

Value of the number at hundreds place = 6 × 100 = 600

Value of the number at thousand place = 6 × 1000 = 6000

Number at thousand place = 10 × (Number at hundreds place)

Therefore, Option (B) will be the answer.

7 x7 dived by 5 plz helppppvme

Answers

Answer:

Step 1) 7*7 = 49

Step 2)  49/5 = 9.8

Answer:

Step-by-step explanation:

7x7=49, 49 divided by 5=9.8, hope I helped! :P

pwease help!! i need help to put the answers in the box c:

Answers

Answer:

6 months is: 15675

2 months is: 5172.75

1 month is: 2586.37

15 months is: 38795.62

the missing number is: 12 months

Step-by-step explanation:

Expression to the same value as 10 to the power of six

Answers

Answer:

10+10+10+10+10+10=1000000

Step-by-step explanation:

How do you determine the absolute maximum and minimum values of a continuous function on a closed​ interval?

Answers

Answer:

Steps are detailed below.

Step-by-step explanation:

The steps to determine the absolute maximum and minimum values of a continuous function on a closed​ interval are;

For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)

The steps are;

Step 1:

We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.

Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)

Step 2:

Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.

Step 3;

Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.

Step 4;

The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).

**100** The given data represent the total compensation for 10 randomly selected CEOs and their​ company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made​ $15 million? What would be the predicted stock return for a company whose CEO made​ $25 million?

Answers

Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

I need help on thisss

Answers

Answer:

1) 4 pots

Left over 2

2) 168 to make 12

122

3) 9

18

Step-by-step explanation:

Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.​

Answers

Step-by-step explanation:

Commutative property of addition is a+b=b+a

7+2=9 , 2+7=9

9=9

So, commutative property is true for addition

2-7=-5 , 7-2=5

-5 is not equal to 5

Commutative property does not apply to subtraction

9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither​ Hint(use slope formula)

Answers

Neither: the slope for KM=7, and the slope for ST= 1

The points on a scatterplot increase rapidly. You run a linear regression on

the data. The residual plot shows a pattern, and is low.

Which of these methods would likely result in a better model of the data?

A. Run a quadratic regression on the data and then linearize the data.

B. Linearize the data by taking the log of the response variable, and

then run a linear regression.

C. Linearize the data by taking the logs of both variables, and then

run a linear regression.

D. Linearize the data by taking the log of the response variable, and

then run an exponential regression.

Answers

Answer:

B

Step-by-step explanation:

The method that would most likely result in a better model of the data is to :

Linearize the data by taking the log  of the response variable, and then run a linear regression.

A linear regression can be expressed as

[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]

The linear regression is applied  to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.

Answer:

B

Step-by-step explanation:

Sixteen years after purchasing shares in a mutual fund for $6200, the shares are sold for $11,000. The the total return is %. ​

Answers

9514 1404 393

Answer:

  77.42%

Step-by-step explanation:

The increase in value is ...

  (11000/6200 -1) × 100% ≈ 77.42%

It is well known that generally a female's growth spurt occurs before a male's; therefore the
female's height data will likely be higher than the male's data.
Discuss this idea in a well-structured paragraph. Use your calculations of the mean, median, mode
and range of the data to support your decision.

Answers

Answer:

Most girls start their sexual development between the ages of 8 and 13 (the average age is 12), and have a growth spurt between the ages of 10 and 14.

Most boys start developing sexually between the ages of 10 and 13, and continue to grow until they're around 16.

this my help

1/2 times 4 /please answer for me :)

Answers

Answer:

2

Step-by-step explanation:

1/2*4 = 2

hope this helps

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.


Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total

Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.

Answers

Answer:

dont know..................

How many gallons are in Two-fifths of a One-half-gallon container of milk?

Answers

Answer:

one tenth of a galon

Step-by-step explanation:

I think this is the answer hope this helps (:

Other Questions
Llena los blancos con una expresin de tener apropiada1. T necesitas ________________________________ cuando cruzas la calle2. Juan ____________________ que Mara no asisti a la fiesta. Juan olvid enviarle a Mara unainvitacin a la fiesta.3. Rosa ____________________ de su hermana Anita porque Anita tiene ms dinero que ella.4. Yo creo que _____________________ y que t _________________. T crees que t_________________________ pero solo uno de nosotros puede ______________________________.5. Roberto tiene mucho dinero. l vive en una casa grande y conduce un Mercedes Benz. Juan________________________.6. Necesito ___________________________ o llegar tarde.7. Maana tengo un partido de tenis. Yo _________________________ de perder el partido.8. Maana tengo un examen muy importante. Esta noche yo __________________ estudiar para elexamen pero _________________________ de salir con mis amigos.9. Dnde _______________________ la fiesta?10. Juan gan la lotera. l ______________________.11. Es casi medioda y no he comido desde anoche. Yo _____________________.12 Margarita ______________________ de volar. Ana __________________de la araas pero yo no____________________________ de nada.13. Son solo 30 grados. Yo _____________________________.14. Anoche me acost muy tarde. Hoy yo ____________________.15. Yo ______________________ porque yo com comida muy salada A salesperson earns 25% of her total sales in addition to a base pay. The graph below represents her total pay for a given day.How much does she earn if she does not make any sales on a given day? A. $0 B. $25 C. $75 D. $175 How many Members were in the Fellowship in "Lord of the Rings? Karl Marx had an economic and political theory ofwhere thegovernment or public owned all land and means of production?A.SocialismB.CapitalismC.Communism need the answer ASAP please view the picture Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4) Please help with my question. 3 letters start from X PLEASE HELP Choose the best Spanish word to complete the sentence.La casa de Soledaden Paris.estamosestestarests 5.Mrs. Stevenson cannot be heard by the other callers, and she slowly realizes that she is hearing something she obviously was not intended to hear. Highlight the part of the text where Mrs. Stevenson and the reader know for sure that the callers are planning a crime. What draws the reader into the story's suspense? 1. Identify the graph that represents the system oflinear equations first correct answer gets brainliest Why was Justinians collection of Roman laws significant? Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries 4, 16, 36. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 4, negative 6, negative 8. Column 2 is labeled y with entries negative 8, negative 12, negative 18. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 5, negative 7. Column 2 is labeled y with entries 5, 3, 1. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 6, negative 9. Column 2 is labeled y with entries 12, 24, 36. Why did the United Sates declare war on the British? Please help ASAP! All questions. It is difficult to make conclusions about scientific data collected from fossilized remains because the data 1. Match each general tissue category to the appropriate feature. a.connective tissue b.epithelium c.nervous tissue d.muscle 1) ____ lines cavities, tubes, covers body 2) ____ conducts electrical impulses 3) ____ has contractile properties 4) __A__ binds and connects body parts 5) ____ one side of this sheet of cells is embedded in a basement membrane of extracellular "glue" 6) ____ Many glands such as sweat glands and salivary glands are composed of this tissue. 7) ____ protein junctions from cell to cell create a continuous sheet 8) ____ Matrix is usually abundant in this general tissue type. can somebody PLZ HELP ME ASAP!!