If lambda belong to R and the domain of f(x) = log lambda x-2/x i [1,2) union (2,3], then lambda belong to

Answers

Answer 1

the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1. Then λ belongs to (0,1).

In the given question, if λ∈R and the domain of f(x) = [tex]\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}[/tex] is [1,2)∪(2,3], then λ belong to

The given function is

f(x) = [tex]\sqrt{\frac{log_{\lambda}|x-2|}{|x|}}[/tex]

The function is belong in between [1,2)∪(2,3]. So

|x-2| ≠ 0  and  |x| > 0

x ≠ 2       and  x > 0

Since the value of x can not be equal to 2 and x value is always greater than 0. So

[tex]log_{\lambda}|x-2|\geqslant 0[/tex]

The value of |x-2| should be lies between 0 and 1 because x cannot be equal to 2 and greater than 1.

So 0< |x-2| < 1

If the value of |x-2| lies between 0 and 1 then λ also lies between 0 and 1.

Hence, 0 < λ < 1.

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Related Questions

any body can help me pls i need help

Answers

Answer:

2

Step-by-step explanation:

Combine Like Terms: 1 + 5v + v

Answers

Answer:

1+6v

Step-by-step explanation:

add 5v and v

The answer is 1 + 6v

Hope this helps! Have a wonderful day!!

I need help on 11 and 12.

Answers

I need help with this please respond rn

Helppp plz I will mark brainliestttt

Answers

Answer:

19

Step-by-step explanation:

help me now i need this question right away

Answers

Answer:

It will be 120°

It because if you matched those two points you will have two angles of 90° degree inside that square and in the triangle at the above 120-90= 30 degrees for both angles and since that all angles of the triangle are equal 180 then 180-(30+30)=120°.

Sorry if my explanation isn't that good.

SOMEONE HELPPPPPPPPPPP

Answers

Answer:

(-1 , 0)

Step-by-step explanation:

(-1 , 0)

A rectangle with an area of 8 ft^2 is dilated by a factor of 4. What is the area of the dilated rectangle?​

Answers

multiple choice?

Step-by-step explanation:

The scatterplot shows the relationship between the daily high temperature and the number of people swimming in the community pool.
People Swimming
in Pool
у
Number of People Swimming

Temperature (°F)
Based on the scatterplot, approximately how many people will be swimming in the pool on a day when the high temperature is 77°F?
А
50
B
25
С
35
D
10

Answers

Answer:

C

Step-by-step explanation:

X-Axis goes by 4, so 77° falls around the 30-40 area.

WILL GIVE BRAINLIST kai has 32 he wants to put the same number of tickets into 4 boxs wich number sentence could be used to find the number of tickets kai should put in each box
QUESTOINS:
A; 4+__=32
B; 4x__=32
C; 32-__=4
D; 32x__=4

Answers

Answer:

it is B

Step-by-step explanation:

now brainliest 5 stars and heart please

Answer:

IT would be B

Step-by-step explanation:

If you multiply 4 x 8 = 32 will complete the answer

1. What is the measure of angle PSQ?

80°
140°

Answers

140 degrees because an angle of a circle is 360 degrees and you can subtract these angles from it to get 140 degrees

Answer:

140°

Step-by-step explanation:

angles at a point add upto 360° we are given two points and one is missing the only thing to do,,,is to add the two angles and subtract it from 360 which gives as 140°

Which transformation of Figure A results in Figure A′?




A.) a translation 3 units left and 4 units down.

B.) a reflection across the x-axis

C.) a counterclockwise rotation of 270° about the origin

D.) a counterclockwise rotation of 90° about the origin

Answers

Answer:

It is D

Step-by-step explanation:

It is the only reasonable answer

help plzzzzz! I'll give 30 points ​

Answers

Answer:

c

Step-by-step explanation:

Compare 2/3 and 413.213 4/3 -​

Answers

Answer:

its 413.213

Step-by-step explanation:

Jane moved from a house with 72 square feet of closet space to an apartment with 44.64 square feet of closet space. What is the
percentage decrease of Jane's closet space?
A. 30%
B.62%
C.38%
D.61%

Answers

Answer:

c. 38$

Step-by-step explanation:

You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?​

Answers

Answer: 36%

Step-by-step explanation:

Help please due today!

Answers

12

Square of 13 equals 169

Square of 5 equals 25

169-25= 144

144 square root equals 12

Answer:

12 is the answer

(Also have a nice day!)

To the nearest foot, what is the diameter of the circle whose circumference is 47.1 feet?

Answers

Answer:

d≈14.99ft

Step-by-step explanation:

I need your help asap​

Answers

1 - d

2 - e

3 - a

4 - c

Hope this helps!

2-e
4-c
3-6
1b
This is the answer to your question please

Richard saves money by investing 5% of his salary in his individual retirement account. Which of the following best describes how his investment will grow over the next 30 years?

⊝ His investment will most likely be worth very little more than he invested in deposits over the 30 years.


⊝ His investment will most likely be worth exactly what he deposited over the 30 years.


⊝ His investment will most likely be worth a lot more than he invested in deposits over the 30 years.


⊝ His investment will most likely be worth less than he invested in deposits over the 30 years.

Answers

answer:

Answer is c this was difficult

When adding polynomials, you combine like terms. Then put the polynomial in standard form. true or false

Answers

Answer:

True

Step-by-step explanation:

Polynomials are expressions containing one or more variables that are raised to powers beyond 2.

In standard form, a polynomial may be arranged based on the power of the variable. For example

X^3 + 2x^2 + 5

The above polynomial has been arranged in standard form. To add or subtract two polynomials, the two expressions are rearranged to combined like terms and then organized in standard form

a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism in the cubic inches?

Answers

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

                            = 33 × 54 × 6

                             = 10692 cubic inches

Determine if the sequence below is arithmetic
or geometric and determine the common
difference / ratio in simplest form.
2, 7, 12, ...

Answers

Answer:

2,7,12... is an arithmetic sequence & the common difference between each of them is +5 .

Step-by-step explanation:

Hope this helps u ;)

Good luck .

The given sequence is an ''Arithmetic sequence'' with common difference 5.

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

We have to given that;

The sequence is,

⇒ 2, 7, 12, ...

Now, We can find the common difference as;

The sequence is,

⇒ 2, 7, 12, ...

Common difference = 7 - 2 = 5

Common difference = 12 - 7 = 5

Hence, It is an Arithmetic sequence.

Thus, The given sequence is an Arithmetic sequence with common difference 5.

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Use the Order of Operations to evaluate this expression
(-2+1square2) +5 (12/3) -9
Type the correct answer in the box. Use numerals instead of words.

Answers

Unfortunately, I don’t knooow :(

Answer: The value of the expression is (12)

Step-by-step explanation:

Got it right

What is the volume of a hemisphere with a diameter of 8.6 ft, rounded to the nearest tenth of a cubic foot? \text{Volume of a Sphere:}

Answers

Answer:

volume V = 166.519071 ft^3

Step-by-step explanation:

radius r = 4.3 ft

base circumference C = 27.0176968 ft

volume V = 166.519071 ft^3

curved surface area A = 116.176096 ft^2

base surface area B = 58.0880482 ft^2

total surface area K = 174.264144 ft^2

In Terms of Pi π

base circumference C = 8.6 π ft

volume V = 53.0046667 π ft^3

curved surface area A = 36.98 π ft^2

base surface area B = 18.49 π ft^2

total surface area K = 55.47 π ft^2

Volume of a hemisphere:

V = (2/3)πr^3

Volume=166.519 cubic foot

What are the equations for the horizontal and vertical lines through (−2, 0)?

A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0

Answers

The answer is A, vertical is x=-2 and y=0.

Please help because I have to submit this this week

Answers

Answer:

67

Step-by-step explanation:

its a 90 degree angle so u have to do 90-23 which equals to 67

What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?
Pls I added 20 points

Answers

Answer:

(-2,9)

Step-by-step explanation:

The owner of a snow cone stand used (1)/(4)gallon of syrup o make 16cherry snow cones . She used the same amount of syrup in each snow cone how much syrup in gallons was used in each cherry snow cone

Answers

Answer:

1 /64 gallon.

Step-by-step explanation:

Number of cherry snow cones made from 1/4 gallons of syrup = 16

If the same amount of syrup is used in each cherry snow cone ;

Amount of syrup used in each cherry snow cone would be :

Gallons of syrup used / number of cherry snow cones made

= 1/4 gallons ÷ 16

= 1/4 * 1/16

= 1 / 64 gallons

For Each cheery snow cone, 1/64 gallon of syrup was used.

Given a triangle with a = 19, A = 43°, and B = 26° , what is the length of c? Round to the nearest tenth.

Answers

Answer:

The length of side c would be 26.0.

Step-by-step explanation:

Answer:

A) 26

Step-by-step explanation:

If you roll a number cube 108 times, how many times
would you expect to roll the number one using the
data above?

Answers

You will roll the number one 24 times.
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