1. Given that f(x)=(√(x)+5−4)/(x−11), define the function f(x)at 11 so that it becomes continuous at 11.a) f(11)=5b) f(11)=18c) Not possible because there is an infinite discontinuity at the given point.d) f(11)=8e) f(11)=02. Can the intermediate-value theorem be used to show there is a solution for the equation f(x)=0 on the interval [1,2] if f(x)=2x^3− √(6x+2)? Give an explanation why.a) Yes. because f(1)>0 and f(2)<0.b) No. because f(1)<0 and f(2)<0.c) No, because f(1)>0 and f(2)>0.d) Yes, because f(1)<0 and f(2)>0.

Answers

Answer 1

a. to make f(x) continuous at x = 11, we need to define f(11) = 1/22. b. there is a solution for the equation f(x) = 0 on the interval [1, 2].

a) f(11)=5

To make the function f(x) continuous at x = 11, we need to remove the infinite discontinuity at x = 11. We can do this by factoring out (x-11) from the numerator and simplifying the expression. After factoring out (x-11), we get (sqrt(x) + 5 + 4)/(x - 11) = (sqrt(x) + 9)/(x - 11). We can see that this expression is undefined at x = 11, so we need to determine the limit of the expression as x approaches 11. We can use L'Hopital's rule to find that the limit is 1/22. Therefore, to make f(x) continuous at x = 11, we need to define f(11) = 1/22.

b) No. because f(1)<0 and f(2)<0.

The intermediate value theorem states that if f(x) is continuous on the closed interval [a, b] and if k is any number between f(a) and f(b), then there exists at least one number c in the open interval (a, b) such that f(c) = k. In this case, f(x) = 2x^3 - sqrt(6x + 2) is continuous on the closed interval [1, 2]. We can see that f(1) is negative and f(2) is also negative. Therefore, by the intermediate value theorem, we cannot conclude that there is a solution for the equation f(x) = 0 on the interval [1, 2].

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Related Questions

Please help me to solve this!​

Answers

Answer:

7 days im not sure

Step-by-step explanation:

can you trying giving us the answer that comes with the question if they have them  

I need help on this assignment, I need to find the angles of the blank spaces. Anything is appreciated!

Answers

Answer:

3: 97

10: 97

9: 83

5: 97

7: 83

16: 97

Im 100% on these answers bc Ive already taken this class :)

Answer:

Step-by-step explanation:

9) m∠3 = m∠2  {Vertically opposite angles}

m∠3 = 97

m∠10 = m∠2       {Corresponding angle}

m∠10 = 97

m∠9 +m∠10 = 180  {Linear pair}

m∠9 + 97   = 180

         m∠9 = 180 - 97

        m∠9  = 83

m∠6 = 83

m∠5 + m∠6 = 180 {linear pair}

m∠5 + 83 = 180

         m∠5 = 180 - 83

m∠5 = 97

m∠7 = m∠6  

m∠7 = 83

m∠8 = m∠5           {Vertically opposite angles}

m∠8 = 97

m∠16 = m∠8      {Corresponding angle}

m∠16 = 97

2^2/5+ 3^1/10
HELP ASAP

Answers

Answer:

[tex]\sqrt[5]{4}[/tex]  + [tex]\sqrt[10]{3}[/tex]

Step-by-step explanation:

We sure can write 2^2/5+ 3^1/10 as [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex]

// use the [tex]a^{\frac{m}{n} } =\sqrt[n]{a^{m} }[/tex] to transform the expression

Convert [tex]2^{\frac{2}{5} }[/tex] to [tex]\sqrt[5]{2^{2} }[/tex] = [tex]\sqrt[5]{4}[/tex]                        (here a = 2, n = 5, m = 2)

Then convert  [tex]3^{\frac{1}{10} }[/tex] to [tex]\sqrt[10]{3^{1} }[/tex] = [tex]\sqrt[10]{3}[/tex]             (here a = 3, n = 10, m = 1)

Now we get  [tex]2^{\frac{2}{5} } + 3^{\frac{1}{10} }[/tex] = [tex]\sqrt[5]{4}[/tex]  + [tex]\sqrt[10]{3}[/tex] . This is the simplified form, which is the answer.

You have two cans of paint, Can A and Can B. Can A contains 80% red paint and 20% blue. Can B contains half blue and half red. How much blue paint should be added to 3 liters of Can A to make it the same as Can B?

Answers

Answer:

0.9 liters.

Step-by-step explanation:

The difference between 20% of 3 and 50% of 3 is 30%. 30% of 3 liters is 0.9 liters so this is what you add to can A.

Which transformation would take Figure A to Figure B

Answers

Answer:

6 squares to right and 6 squares down

Step-by-step explanation:

Go with the coordinate (-1, 5) on shape A

Hope it helps :)

Move 6 squares to right and 6 squares down.

The initial coordinate that is the x value is -5 and the transformation figure has x value 5.

So move figure A 6 squares to the right . And then move 6 squares to the down we get the transformation figure B.

Therefore, by moving 6 squares to right and 6 squares to down we get the transformation figure B.

Learn more:https://brainly.com/question/7161333

Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) a 2 b 3 c 4 d 5

Answers

Answer:

B: 3

Step-by-step explanation:

2x

x=3 3times2= 6

6+4 =10

Hope this helps

what’s the answer, help please !

Answers

4(5x - 2) - 2(9 - 3x)

= 26x - 26



Joan measures the mass of a solid metal object. It has a mass of 102.0 g. She also measures the volume of that object and the object has a volume of q 027 mL a)

What is the density of the metal object?
What metal could it be made Of?

Answers

Step-by-step explanation:

P=m/v

P=102,0 ÷027

P=3,77 that is the density

It is made of copper

True or False Exponential Growth occurs when the same number is added to
the consecutive output values.

Answers

Answer:

False

Step-by-step explanation:

Because you're not supposed to add to the output values, you need to multiply the output values.

I have to agree with mrshredhalen

it’s false

a student has a savings account with $475 in in it. She deposits $125 of her paycheck into the account every week. Her goal is to save 7,000 for college. How long will it take her to reach her goal of $7000?

Answers

Answer:

52.2 weeks

Step-by-step explanation:

7000 - 475 = 6,525

6525 ÷ 125 = 52.2

Answer:

It will take her 53 weeks to get her goal of 7,000$

Step-by-step explanation:

I subtracted 475 from 7,000 to see how much she needed to save for. I got 6525. I multiplied 125 times 52 and got 6500. To get to her goal she needs 25 more dollars so, she'll have to work another week to get to that goal.

:)

Bella has a cell phone plan in which she pays for each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26. how many minutes did she use?

Answers

Answer:

⇒Let the no. of call minute be = x

⇒& no. of text messages be = y

⇒As total number of minutes used and text messages sent last month was 561

So x + y = 561.................................(1)

⇒Now as call minutes cost 8 cents each and text messages cost 5 cents each and her bill was $34.26

So 8x + 5y = 3426............................(2)

On solving equation 1 & 2 we have

we got x = 354 cent

& y = 207 cent

Answer:

Step-by-step explanation:

x (354,307)

A large rectangular box has a volume of 15.75 cubic feet. The box is 2.5 feet long and 1.5 feet wide. What is the height of the box?

Answers

Answer:

2.5 x 1.5= 3.75

15.75/3.75=4.2

Answer- 4.2

Step-by-step explanation:

please help me i need to get this done

Answers

Total ratio 5 + 6 = 11
33 ÷ 11 = 3
Total no. of students wearing Sneakers = 5×3 = 15

Answer:

15 students are wearing sneakers.

Step-by-step explanation:

There are 33 students in total, which will compare to 11 (5+6).

33 ÷ 11 = 3

The scale factor is 3.

Sneakers: 3 x 5 = 15 students

Which is a correct classification for the triangle?
O obtuse triangle
O right triangle
O acute triangle
O equiangular triangle

Answers

Answer:

obtuse triangle is the correct classification for the triangle

The correct classification of the triangle should be considered as the obtuse triangle.

What is the obtuse triangle?

In the obtuse triangle here one of the angle should be considered as the obtuse angle.

In the case when the sum of the squares of the two shorter sides of a triangle should be smaller than the square of the longest side so it considered as the obtuse triangle.

Learn more about triangle here: https://brainly.com/question/22176005

please help for brainlist ASAP and explain or no brainlist

Answers

Answer:

A

Step-by-step explanation:

because as you see the odd number is 1 its A  

Answer:it’s 1/3 because it would be 1/2 to get two even number or odd so it’s 1/3

Step-by-step explanation:there’s 3 even numbers on one dice and it’s 1/2 a chance to get even and same for odds so with two dices it’s 1/3 because it’s 1/3 to get both evens and 1/3 to get both odds so it’s 1/3

f(-4) = 3x^2-2x pls help i dont know this question

Answers

Step-by-step explanation:

f ( - 4) = 3 ( - 4) ² - 2( - 4)

=. 3 ( 16) + 8

=. 48 + 8 = 56

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

What is the value of the expression 52 + 22?

Answers

Answer:

55 + 22 = n

= 77

n = 77

Hope this helps! :D

Step-by-step explanation:

April wrote two equations to represent this system of equations. She wrote: y = 5x +
I and y = 14x - 10. Do you agree or disagree with April?

Answers

Answer:

Disagree

Step-by-step explanation:

The lines are parallel, which means they have different y-intercepts but the same slope.

April's two equations have different slopes (5 and 14), so they do not properly represent two parallel lines.

The total cost of flooring a room at Rs .9.50 per square meter is Rs 760, If the length of the room is 10 m, find its breadth.

Answers

Answer:

8 metre

Step-by-step explanation:

cost of flooring per square metre = Rs .9.50

total cost of flooring= Rs760

Area of room= 760/9.50

= 80 m^2

Area of the given room= Lenght × Breadth

length of the room is = 10 m

80= 10 × Breadth

Breadth= 80/10= 8 m

Hence, breadth of the room is 8metre

find the area of the shape using Pythagoras Theorem please​

Answers

Answer:

122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)

Step-by-step explanation:

to get the other triangle side do 18-11= 7

then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2

49+b^2= 121

121-49= b^2

72=b^2

b= 8.48(simplified)

then use that side to get the area of the rectangle:

8.42×11=92.62

then get area of the triangle:

1/2(8.42×7)=29.47

add the 2 areas to get total area:

92.62+29.47=122.09

When h(1)=-2, and h(n)=h*(n-1)+n, what is h(2)=

Answers

Answer:

h(2)=0

Step-by-step explanation:

That’s what I got when I got it wrong and I asked for the answer and I promise it’s 0

Answer:

its 0

Step-by-step explanation:

Which of these ordered pairs is a solution to the inequality y - 2x < -3? ( (2,4) (-2, 3) (3, 4) (1,-1)​

Answers

Answer:

(3, 4)

Step-by-step explanation:

True or False: An decrease in a particle's thermal energy will decrease its speed. *

Answers

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

help quick due in 10 mins

Answers

Answer:

95

Step-by-step explanation:

We have the expression q over 19 = 5 and are asked to solve for q.

We have a dillemma here, q is in a fraction, to solve, all we need to do is get rid of this fraction. Since 19 is the denominator, we can multiply it by both sides :

[tex]\frac{q}{19} = 5[/tex]

19 * 5

95

Therefore :

q = 95

Consider the quadratic function: f (x) = 5x2 + 20x + 20. What are the zeros of the function using completing the square?

Answers

Step-by-step explanation:

step 1. f(x) = 5x^2 + 20x + 20

step 2. f(x) = 5(x^2 + 4x + 4)

step 3. f(x) = 5(x + 2)^2

step 4. 0 = 5(x + 2)^2

step 5. zeros: -2

In a survey conducted on 200 people, it was found that 105 of them prefer coffee, 50 prefer
tea and the remaining prefer both. Find the fraction of people who prefer both tea and coffee.

Answers

Given:

Total number of people = 200

People who prefer coffee = 105

People who prefer tea = 50

The remaining prefer both.

To find:

The fraction of people who prefer both tea and coffee.

Solution:

The number of remaining people who prefer both tea and coffee is

Remaining people = Total number of people - People who prefer coffee - People who prefer tea

Remaining people = 200 - 105 - 50

                               = 45

Now, the fraction of people who prefer both tea and coffee is

[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]

[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]

[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]

Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.

Someone please let me know the answer ​

Answers

Answer:

The answer is 30°

Step-by-step explanation:

[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]

A bag contains 5 red marbles, 6 blue marble, 3 green marbles, 4 black marbles, 2 yellow marbles. A marble will be drawn from a bag and replaced 200 times. What is a resonanle predition for each times a yellow or green marble will be drawn

Answers

Answer:

50 times

Step-by-step explanation:

Red = 5 ; blue = 6 ; green = 3 ; black = 4 ; yellow = 2

Total number of marbles :

(5 + 6 + 3 + 4 + 2) = 20

Probability of drawing a yellow or green marble :

P(yellow) + p(green)

(2 / 20) + (3 / 20)

5 / 20

Hence, Number of times from 200 draws :

(5 / 20) * 200

= 50

Please answer the pictures provided

Answers

Answer:

-6-3

Step-by-step explanation:

What is the square root?

Answers

The answer is 8 if I’m wrong someone correct me
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