Is the Mean Value Theorem applicable to the function f(x) = |x - 1| on the interval [0, 2]?
Why or why not?

Answers

Answer 1
The only point that derivative of the function f(x) = |x - 1| is not continuous is at x = 0. You need to check whether the slope for the interval (0,2) is continuous to see if you can apply MVT. The interval (0,2) does not include end points, so 0 is not in this interval. The function is continuous over the interval, so MVT can be applied.

Related Questions

The price per share of a company increases from $16.00 to $20.00
What is the percent increase of the price per share of the company?

Answers

Answer:

25%

Step-by-step explanation:

16*1.25=20

Hope this helps!

How to solve this

6m+6+7(1-3m)=-32​

Answers

Answer:

m=15

Step-by-step explanation:

BODMAS

6m+6+7-3m=-32

collect like terms

6m-3m+6+7=-32

3m+13=-32

3m=-32-13

3m=45

m=45/3

m=15

Answer:

m = 3

Step-by-step explanation:

6m + 6 + 7(1 - 3m) = -32 (distruibute)

6m + 6 + 7 - 21m = -32 (collect like terms)

-15m + 13 = -32 ( subtract 13 on both sides to get rid of it on the left side)

-15m = -45 (divide by -15 on both sides to get m alone)

m = 3

HOPE THIS HeLPeD!!

WRITE AN EQUATION of the line that passes through (0,−5) and (−5,−5)
PLEASE HELP WILL MARK BRAINLEST!!!!!!!!!!!!!!!!!!!!!!

Answers

um i think it might be y+5=0

Divide. Check your answer. 17 parenrightze 5204

Answers

17 divided by 5204 is the correct answer

I need help with this please

Answers

the third answer (bottom left): 3^7 x 1/3^4

the negative exponent means its 1 divided by the number and exponent. i hope this helps you!! <3

Answer:

[tex]3^{7} * \frac{1}{3^4}[/tex]

Step-by-step explanation:

I NEED HELP WITH THIS PLEASE?

Answers

Answer:

  37°

Step-by-step explanation:

∠CDE and ∠ABE are alternate interior angles, so are congruent. That is, if we find ∠ABE, we have the answer to the question.

∠DEA is an exterior angle to ∆ABE, so is equal to the sum of the remote interior angles:

  ∠DEA = ∠ABE +∠BAE

  62° = ∠ABE +25°

  ∠ABE = 62° -25° = 37°

  ∠CDE = 37°

A multiple of a number is either ------than or----- to the number

Answers

Answer:

its less than, equal to

(2x−5.6)/3 = (1−x)/1.5 pls help

Answers

Answer:

1.9

can you also please mark me as brainliest?

The following data are for 30 observations involving two categorical variables, x and y. The categories for x are A, B, and C; the categories for y are 1 and 2.
Observation x y
1 A 1
2 B 1
3 B 1
4 C 2
5 B 1
6 C 2
7 B 1
8 C 2
9 A 1
10 B 1
11 A 1
12 B 1
13 C 2
14 C 2
15 C 2
Observation x y
16 B 2
17 C 1
18 B 1
19 C 1
20 B 1
21 C 2
22 B 1
23 C 2
24 A 1
25 B 1
26 C 2
27 C 2
28 A 1
29 B 1
30 B 2
a. Develop a crosstabulation for the data, with x as the row variable and y as the column
variable.
b. Compute the row percentages.
c. Compute the column percentages.
d. What is the relationship, if any, between x and y?

Answers

The row percentages for A, B, and C will be 0%, 83.3%, and 15.4% respectively.

How to calculate the percentage?

The row percentage for A will be:

= 0/5 × 100

= 0%

The row percentage for B will be;

= 10/12 × 100

= 83.3%

The row percentage for C will be:

= 2/13 × 100

= 15.4%

The column percentage for A will be:

= 0/12 × 100

= 0%

The column percentage for B will be:

= 10/12 × 100

= 83.3%

The column percentage for C will be:

= 2/12 × 100

= 16.7%

Learn more about percentages on:

https://brainly.com/question/24304697

#SPJ2


The perimeter of a rectangle is 180 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle?

Answers

Answer:

you just need all your dimensions to equal 180

Step-by-step explanation:

180 = 20........

describe how you can use the make a ten strategy to fin the sum 7+9.

Answers

You can take 1 from the number 7 and add it to 9 so you have ten then add 6

the probability that any one egg is not spoiled in a carton of 6 eggs is 75%

Answers

Answer:

This might seem like an obvious thing to do, but Murphy points out that the date printed on the packaging isn't always an expiration date. A carton of eggs may not always need to be thrown out as soon as the date passes. The date is usually just an indicator of the egg's freshness.

"The expiration dates are not expiration dates. Sometimes they are, but most of the time, the printed date is a best used-by date or sell-by date," Murphy tells INSIDER. "So, that does not always mean that the eggs have gone bad. Food can be bad before the date. Eggs and other dairy products are temperature sensitive. If you left your carton of eggs out on the counter for an extended period of time, the eggs would actually go bad before the date."

Per Murphy, "bad," however, means that you shouldn't eat the egg because it has the potential to make you sick. But, eggs can still be fresh even if they have passed their sell-by or used-by date.

"The fresher an egg is, like a lot of things, the better it tastes. In terms of freshness, a company can put a sell-by date or best used-by date on the carton. There is no regulation on that. The date is a good indicator of freshness," said Murphy. "The closer you get to the date, the less fresh the eggs are going to be. But, just because you've hit that date or gone beyond it doesn't mean that the eggs are necessarily bad."

Step-by-step explanation:

The easiest way to tell whether or not a carton of eggs has gone bad is to do the float test. To conduct the float test, take one egg and place it in a bowl of room temperature water, according to Murphy. If the egg sinks to the bottom and lies flat on its side, it is still fresh. If the egg stands up on its end like it's standing up, then the egg has gone bad.

"When an egg is first laid and it's truly really fresh, it's completely full there is very little air inside. But, egg shells are porous. So, as time goes by the inside starts to evaporate and is replaced by air," said Murphy. "The amount of air in the egg depends on what happens to the egg when it is dropped into water. Generally, if an egg actually floats that's the point when an egg has gone bad."

ANSWER QUICK!


Which best represents the law of conservation of mass?


mass of reactants > mass of products

mass of reactants < mass of products

mass of reactants = mass of products

mass of reactants → mass of products

Answers

Answer:

mass of reactants before reaction is equal to mass of (products) after

hope this helps and can i get brainliest i answered first

Step-by-step explanation:

Answer:

It would be = mass of products

Step-by-step explanation:

Find the differential of the function

a. y=x4sin(9x)
b. y=x4sin⁡(9x).

Answers

Answer:

We want to find:

[tex]y'*dx = dy[/tex]

Where:

[tex]y = x^4*sin(9x)[/tex]

Remember that when we have a function like:

f(x) = g(x)*h(x)

The derivation gives:

f'(x) = g'(x)*h(x) + g(x)*h'(x)

In this case we can define:

f(x) = y

g(x) = x^4

h(x) = sin(9x)

These functions are easy to differentiate:

g'(x) = 4*x^3

h'(x) = 9*cos(9*x)

Then we have:

[tex]y' = \frac{dy}{dx} = 4x^3*sin(9x) + x^4*9cos(9x)[/tex]

Then we can write:

[tex]dy = (4x^3*sin(9x) + 9x^4*cos(9x))dx[/tex]

Based on the probabilities of events M and N, which statement is true? HURRY PLEASE!

Answers

Answer:

it is b or c i think but i am pretty sure it is c

Step-by-step explanation:

Solve the following system of equations using the substitution method
X=4
[x+ 3y - 10
Solution :

Answers

Answer:

the answer is x5.5

Step-by-step explanation:

The Measure of two angles are (5x+24)° and (9x-17)°. What is the value of x if these anglers are congruent

Answers

Answer:

10.25

Step-by-step explanation:

5x+24=9x-17

24=4x-17

x=10.25

1) Chris Campbell opened a private security service. To pay for office furniture and training
for his employees, he borrowed $14,800 and agreed to pay the loan back in 10 months
at 9% simple interest. Find the total amount he will require at the end of that period to
repay the loan.

Answers

Answer:

16,132 that is adding the 9% interest fee he will have to pay $16,132 back by the end of that period.

Step-by-step explanation:

which is greater thirty six and nine thousandths or four tens

Answers

Answer:

four tens

Step-by-step explanation:

four tens is greater because:

four tens = 40

thirty six and nine thousandths = 36.009

36.009 < 40

a Given p(x) = X+41, what is (-10)? ​

Answers

Answer:

p(-10) = 31

Step-by-step explanation:

Plug in -10 as x into the equation, and solve

p(x) = x + 41

p(-10) = -10 + 41

p(-10) = 31

Answer :

Given : p(x) = x + 41

We have to find value of p(-10)[tex].[/tex]

➙ p(x) = x + 41

By substituting x = (-10), we get

➙ p(-10) = (-10) + 41

➙ p(-10) = 41 - 10

p(-10) = 31

Hope It Helps!

According to a Gallup poll in October 2015, having young children at home greatly influences whether women in the U.S. prefer to stay at home or work outside of it. More than half of women, 57%, who have a child younger than 18 would ideally like to stay home and care for their house and family, while 58% of those without young children would rather work outside the home. Having young children makes little difference in men's preferences, with close to three-quarters preferring to work regardless of their parenting status. Gallup states that their method has a margin of error of 0.031.
1. Give a point estimate for the proportion of all US women with a child under 18 that would like to stay at home.
2. Give an interval estimate for the proportion of all US women with a child under 18 that would like to stay at home.
3. What is the difference between a point estimate and an interval estimate?
A. A point estimate only tells us the best guess for the​parameter; an interval estimate is more likely to be close to the parameter than a single point.
B. A point estimate only tells us the best guess for the​ parameter; an interval estimate also gives us a measure of how far away that guess is likely to be from the parameter.
C. A point estimate only tells us the parameter​ value; an interval estimate also gives us a measure of how far away that guess is likely to be from the parameter.
D. A point estimate only tells us the parameter​ value; an interval estimate also gives us a plausible range of values for the statistic.
E. A point estimate only tells us the parameter​ value; an interval estimate also gives us a plausible range of values for the parameter.

Answers

Answer:

a

  [tex]\^p = 0.57[/tex]

b

[tex]0.539 <p< 0.601[/tex]

c

The correct option is C

Step-by-step explanation:

The percentage  of women who would like to stay at home and take care of their family due to the fact that they have a child younger than 18 is  [tex]p_1  =  57\%[/tex]

The percentage of women who would rather work outside their home due to the fact that they don't have children is   [tex]p_2 =   58\%[/tex]

The  margin of error is [tex]E = 0.031[/tex]

Gnerally the point estimate of all US women with a child under 18 that would like to stay at home is mathematically represented as

       [tex]\^ p =  \frac{57}{100}[/tex]

       [tex]\^ p = 0.57[/tex]

Gnerally the interval estimate for the proportion of all US women with a child under 18 that would like to stay at home is mathematically as

       [tex]\^ p -E  < p <  \^ p +E[/tex]

=>    [tex]0.57 -0.031 <p<  0.57 + 0.031[/tex]

=>    [tex]0.539 <p< 0.601[/tex]

4 + 3² × 2 - 1

full account please​

Answers

Answer:

21

Step-by-step explanation:

the answer was simplified

John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only
8 miles per hour.

Today the boys went for a 20 miles trip, each boy was biking at his usual speed. How long did John wait for Brian at the finish line?

Answers

Answer:

I think John waited half an hour for Brian

Step-by-step explanation:

20/10=2

20/8+2.5

Answer:

1/2 hours

Step-by-step explanation:

Which expression can be used to find the number of liters in 15 quarts?

Answers

15 divided by 0.946 is the expression

In a lottery game, a player picks 7 numbers from 1 to 49. If 6 of the 7 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a fraction in order to earn credit.

There is a
? probability of winning second prize.

Answers

Answer:

,t,त्ल्ह्त?एकता !लोकतान्त्रिक फंत्त

Hey! Hope your having a amazing day! Can you please help me and answer this questions? I need this fast! Thanks! ;( (Integers!)

Answers

Answer:

-15 feet

Step-by-step explanation:

-60/4=-15

Answer:

-15

Step-by-step explanation:

i hope this makes your day better!!

7/22 rounded to the nearest thousandths

Answers

Answer:

0.318

Step-by-step explanation:

I hope this helps! :)

and can I get a brainliest?

Answer: 0.318

Step-by-step explanation:

216% as a decimal? Please I don’t understand how to do these types of big numbers

Answers

Answer:

Step-by-step explanation:

216% = 2.16

all you have to do is move the decimal over two places from right to left.

Which one is greater 7.216 or 7203

Answers

7203 is greater because it font got no decimal or nothing. Is a whole number

Simplify: 3√5⋅√10+11√5⋅√10−√5
26√50

14√15−√5

14√50−√5

6√35

Answers

Answer:

When multiplying radical expressions with the same index, we use the product rule for radicals. If a and b represent positive real numbers,

Example 1: Multiply:

√2⋅√6

Solution: This problem is a product of two square roots. Apply the product rule for radicals and then simplify.

Step-by-step explanation:

              Hope this helps .   ;)

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