2. Find the largest value of s satisfying the condition​

2. Find The Largest Value Of S Satisfying The Condition

Answers

Answer 1

The required value of δ = 1/4.  

0< |x-1| < δ
| f(x) - 4 | < 1/2 where f(x) = 6 - 2x

What are inequalities?

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation

now

| f(x) - 4 | < 1/2
|6 - 2x - 4 | <1/2
| 2-2x | < 1/2
| 1 - x | < 1/4
| x - 1 | < 1/4
since modulus function always give positive values.
0 < | x - 1 | < 1 /4

The required value of δ = 1/4.

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Related Questions

What are the x and y intercepts

What are the x and y intercepts

Answers

Answer:

x=6

y=-6

Step-by-step explanation:

x intercepts are (-1,0) & (6,0)
y intercept is at (0,-6)

Write a story about elevation that this expression could represent: 56 + (-56)

Answers

The correct statement that represents the expression is:

An object moves towards the east (positive direction )at a distance of 56m and west (negative direction) at the same distance, the total displacement of the object is 0m

Given the expression 56 + (-56).

We can see that this is an inverse rule where a value and its negative are added together.

Let us assume the values are distance covered by an object.

The correct statement that represents the expression is:

An object moves towards the east (positive direction )at a distance of 56m and west (negative direction) at the same distance, the total displacement of the object is 0m

This show that  56 + (-56) = 56 - 56 = 0

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about to submit a topic test, wish me luck!!!

Answers

Answer:

good luck! :)

Answer:

Good luck Bro u finna do amazinggg

Step-by-step explanation:

also if you want can i have a Brainliest. ill appreciate it

Chilling and Dying.

Same nights every night.

The pandemic got to go no cap.

Answers

Answer:

yes

Step-by-step explanation:

yes

very poetic

In a school, 35% of the students are girls and the number of boys are 910, find the number of girls in the school. Also, find the total enrolment in the school​

Answers

Answer:

Step-by-step explanation:

Percentage of girls = 35%

Percentage of boys = 100 - 35 = 65%

There are 910 boys:

65% = 910

Find the number of students in the school:

1% = 910 ÷ 65 = 14

100% = 14 x 100 = 1400

Answer: There are 1400 students in the school

Find the value of x. The diagram is not to scale.

Find the value of x. The diagram is not to scale.

Answers

Answer:

x=30

Step-by-step explanation:

since it is a equilateral triangle, every angle is 60.

so 180-60=120, thus giving how much 5x-30 is.

5x-30=120

150=5x

30=x

hope i helped!!!

help me plsssssssssssssssssssssssssss

help me plsssssssssssssssssssssssssss

Answers

Answer:

This answer would be c

Step-by-step explanation:

An isosceles triangle has a vertex angle of 70°. What is the measure of each base angle?
70°
55°
20°

Answers

Answer:  55 degrees  (choice B)

============================================================

Explanation:

Let x be the measure of each congruent base angle.

The three interior angles of any triangle always add to 180 degrees.

x+x+70 = 180

2x+70 = 180

2x = 180-70

2x = 110

x = 110/2

x = 55 degrees

Answer:

55 degrees

Step-by-step explanation:

Since the triangle is isosceles there are two congruent base angles and 1 vertex angle. The three angles add up to 180 degrees.

180 minus the vertex angle of 70 degrees leaves 110 degrees for the remaining two angles. Divide 110 by 2 to get the measure of each base angle.

180 - 70 = 110/2 = 55 degrees

evaluate the algebraic expression for the given values of x = 3 and Y =4 7 x - 2y-1​

Answers

Answer:

the answer is 12

Step-by-step explanation:

7x-2y-1. x=3. y=4

7×3-2×4-1

=21-8-1

=12

Integrala x la a treia ori ln la a doua dx va rog

Answers

I don't speak Romanian, but the closest translation for this suggests you're trying to compute

\(\displaystyle \int x^3 \ln(x)^2 \, dx\)

Integrate by parts:

\(\displaystyle \int x^3 \ln(x)^2 \, dx = uv - \int v \, du\)

where

u = ln(x)²   ⇒   du = 2 ln(x)/x dx

dv = x³ dx   ⇒   v = 1/4 x⁴

\(\implies \displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \int x^3 \ln(x) \, dx\)

Integrate by parts again:

\(\displaystyle \int x^3 \ln(x) \, dx = u'v' - \int v' du'\)

where

u' = ln(x)   ⇒   du' = dx/x

dv' = x³ dx   ⇒   v' = 1/4 x⁴

\(\implies \displaystyle \int x^3 \ln(x) \, dx = \frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx\)

So, we have

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac12 \left(\frac14 x^4 \ln(x) - \frac14 \int x^3 \, dx \right)\)

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \int x^3 \, dx\)

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac18 \left(\frac14 x^4\right) + C\)

\(\displaystyle \int x^3 \ln(x)^2 \, dx = \frac14 x^4 \ln(x)^2 - \frac18 x^4 \ln(x) + \frac1{32} x^4 + C\)

\(\boxed{\displaystyle \int x^3 \ln(x)^2 \, dx = \frac1{32} x^4 \left(8\ln(x)^2 - 4\ln(x) + 1\right) + C}\)

1 of 9
Express the ratio below in its simplest
form.
12 : 6​

Answers

2:1 is the simplified ratio

Please can someone who knows the right answer help me? From a group of 5 boys and 3 girls, a boy and a girl will be selected to attend a conference. In how many ways can the select be made?

Answers

The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.

To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.

The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.

To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.

Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.

Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).

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What is the scale factor of a pair of figures whose preimage has coordinates (-1, 1) (3,0) and (1, -4) and whose image has coordinates (0.5, 0.5), (1.5, 0) and (0.5, -2)?
A. 1/4
B. 1
C. 0.5
D. 5
E. 3

Answers

Answer:

0.5

Step-by-step explanation:

Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since Spring started.

Write a linear equation in slope-intercept form that can be used to approximate the data distribution using the two data points labeled on the best fit line.

Since Spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes

Answers

Answer:

y=1x-b is thou answer

Answer:

um yeah i have that question but it isnt right?

Step-by-step explanation:

I dont know why it didnt work :(

What are the intercepts of the graph of

the equation 4y - x = 8

Answers

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Given that the points (16,-5)and (-40,16) lie on a line what is the slope of the line

Answers

Answer:

-3/8 I think

Step-by-step explanation:

\(16 - ( - 5) = 21 \div ( - 40) - 16 = - 56\)

then u just simplify it which is -3/8

I.
What similarity condition would you use to prove that the triangles
are similar?
H
68
87
25
E
870
AA~
SAS
SSS-

I.What similarity condition would you use to prove that the trianglesare similar?H688725E870AA~SASSSS-

Answers

Answer:

AA

Step-by-step explanation:

what is the value of the digit 2 in the number 2348

Answers

Answer:

Two thousands or 2000

Step-by-step explanation:

2 is in the 4th column from the right which is the thousands

Answer:

thousands place

Step-by-step explanation:

NO LINKS!! URGENT HELP PLEASE!!!

Express the statement as an inequality

d. d is between 2 and 1
1. d < 1 < 2
2. 1 < d < 2
3. 1 < 2 < d
4. 2 ≥ d ≥ 1
5. 1 ≤ d ≤ 2

e. t is not less than 5
1. t > 5
2. t < 5
3. t = 5
4. t ≥ 5
5. t ≤ 5

f. The negative of z is not greater than 4
1. -z < 4
2. z ≤ -4
3. z ≤ 4
4. z < 4
5. -z ≤ 4

Answers

Answer:

d. 1 < d < 2

e. t ≥ 5

f. -z ≤ 4

Step-by-step explanation:

Answer:

d. 5. 1 ≤ d ≤ 2

e. 4. t ≥ 5

f. 1. -z < 4

Step-by-step explanation:

d. d is between 2 and 1

The statement "d is between 2 and 1" means that d is greater than 1 and less than 2. We can represent this using the inequality 1 < d < 2. However, the answer choices do not match this exact form of inequality. To rephrase the inequality in a way that matches the answer choices, we can use the logical "and" operator to combine two inequalities: d is greater than or equal to 1, and d is less than or equal to 2. This gives us the inequality 1 ≤ d ≤ 2, which is answer choice 5.

e. t is not less than 5

The statement "t is not less than 5" means that t is greater than or equal to 5. This can be represented using the inequality t ≥ 5, which is answer choice 4.

f. The negative of z is not greater than 4

The statement "the negative of z is not greater than 4" means that -z is less than or equal to 4. We can represent this using the inequality -z ≤ 4, which is answer choice 2. However, the question does not include an answer choice for -z < 4, which is also true based on the statement.

PLS CHECK IF THIS ANSWER IS CORRECT
WILL MARK BRAINLIEST

PLS CHECK IF THIS ANSWER IS CORRECTWILL MARK BRAINLIEST

Answers

Answer:

I'm pretty sure the answer is 6.

Step-by-step explanation:

Labeling the rooms A, B, and C makes it easier.

Room A - All BUT 4

Room B - All BUT 4

Room C - All BUT 4

Since you can see each room is all but four, you can split the 4 into 2 into 2 OTHER rooms than the one stated. For example, Room A is all but 4, so 2 go to Room B and the other 2 go to Room C because each room is all BUT 4.

Basically, 2+2+2 = 6

What is the image point of (0, -6) after the transformation D1/2 ° r y=-x?

Answers

The image point of (0, -6) after the transformation D1/2 ° r y = -x is (-3, 0).

To find the image point of (0, -6) after the transformation D1/2 ° r y=-x, we need to apply the transformation steps in the given order.

First, let's consider the reflection y = -x. This reflection involves swapping the x and y coordinates. So, the image point after the reflection will be (-6, 0).

Next, we need to apply the dilation by a scale factor of 1/2 (D1/2). This dilation involves multiplying the x and y coordinates by the scale factor. Therefore, the image point after the dilation will be (-6/2, 0/2), which simplifies to (-3, 0).

The transformation involves reflecting the point across the line y = -x and then dilating it by a scale factor of 1/2.

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Identify the slope and y-intercept of the line.
8x - 3y = 12

Answers

Answer:

y=8/3x-4

Step-by-step explanation:

use the app photomath to get the answers or socratic there free and will help you on homework or tests

Answer:

Step-by-step explanation:

8x-3y=12

-3y=12-8x

y=(12/-3)-8x/(-3)

y= -4+8/3x

slope= 8/3

y-int=-4

What are the domain and the range of function w?

What are the domain and the range of function w?

Answers

For the given function we have:

domain: x ≥ 0range: w(x) ≥ -4.

How to get the domain and range of the function?

Here we have the function:

\(w(x) = -(3x)^{1/2} - 4\)

First, how do we get the domain?

Notice that we can only evaluate the square root in arguments equal or larger to zero (if we want a real outcome) then we need to have:

x ≥ 0.

Now, to get the range, maximum value is the one that we get when we evaluate in the minimum of the domain:

\(w(x) = -(3*0)^{1/2} - 4 = -4\)

And as x increases, the value of w(x) decreases, then the range is:

R: w(x) ≥ -4.

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A. Circle
B. Kite
C. Rectangle
D. Trapezoid
ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!

A. Circle B. Kite C. RectangleD. Trapezoid ANY ONE PLZZ THIS IS DUE IN TWO HOURS!!!!!!!!

Answers

Answer:

it is option A bro

follow me if it is helpful

I thin the answer is C tell me if it rong

On March 26, Samuel Griffin deposited $20,000 in a savings account that pays 5 5% interest compounded daily until July 24.

Answers

5 days in march.

31 days in May

30 days in June

24 days through July

rate of 5% each day.

so about 90 days of interest daily.

So 5% of 20,000

5 percent *20000

= (5/100)*20000

= (5*20000)/100

= 100000/100 = 1000

So 1,000 a day

1,000 * 90

= 90,000

Find the midpoint of the segment with the following endpoints.
(-4,5) and (-1,1)

Answers

the midpoint is (-2.5,3)

The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree​

Answers

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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According to this diagram, what is tan 62 degrees ?

Answers

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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the expression negative five eighths times k minus 8 plus the expression 2 plus one third times k

7 over 24 times k plus negative 6

negative 4 over 11 times k plus negative 10

negative 7 over 24 times k plus negative 6

negative 23 over 24 times k plus negative 10

Answers

After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

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contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)

Answers

The value of covariance cov(y1, y2) is -0.222

                      y1      

y2         0         1         2          Total

0          1/9      2/9     1/9          4/9

1          2/9      2/9      0            4/9

2          1/9        0       0            1/9

Total   4/9       4/9     1/9          1      

  marginal distribution of y2:

y2      P(y2)      y2P(y2)      y2^2P(y2)

0         4/9        0.0000        0.0000

1          4/9         0.4444        0.4444

2          1/9         0.2222        0.4444

total      1          0.66667       0.88889

E(y2) = 0.6667

E(y2^2) = 0.8889

Var(y2) = E(y2^2)-(E(y2))^2=0.4444

marginal distribution of y1  

y1       P(y1)       y1P(y1)      y1^2P(y1)

0         4/9       0.0000      0.0000

1          4/9        0.4444       0.4444

2          1/9         0.2222      0.4444

total  1.00          0.6667      0.8889

E(y1) = 0.6667

E(y1^2) = 0.8889

Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444

E(XY) =∑xyP(x,y)=0.2222

Cov(y1,y2) = -0.222

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