Please answer these with lots of detail. I want to be able to understand the topic and material well.

Answers

Answer 1

Step-by-step explanation:

(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2

What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).

If we move 2 units left of x=1, we get f(x) = 4.

If we move about 3.5 units right of x=1, we get f(x) = 4.

Therefore, δ can't be more than 2.

(b) If 0 < |x| < δ, then |f(x) − 3| < 1

What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).

If we move 1 unit left of x=0, we get f(x) = 4.

If we move 1 unts right of x=0, we get f(x) = 2.

Therefore, δ can't be more than 1.

Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.

(a) Yes. If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.

(b) No. f(1) = 300, so even if δ = 0, f(x) will be less than 400.

Related Questions

add the following a2b - ab2 + 8ab and 2a2b - ab2

Answers

Answer:

3a^2b - 2ab^2 + 8ab

Step-by-step explanation:

just add the like terms

a^b + 2a^2b - ab^2 -ab^2 + 8ab

3a^2b - 2ab^2 + 8ab

The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expressions are given below.

a²b - ab² + 8ab and 2a²b - ab²

The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be given as,

⇒ a²b - ab² + 8ab + 2a²b - ab²

⇒ 3a²b - 2ab² + 8ab

The addition of the expressions a²b - ab² + 8ab and 2a²b - ab² will be 3a²b - 2ab² + 8ab.

More about the Algebra link is given below.

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Using Linear Pairs to Find an Unknown Value
What is the value of x?
SEE
030
45
т
(3x)
55
70
R
O 60
W

Answers

Answer:

x=45

Step-by-step explanation:

I did it and got it right

What is 1.4 as a fraction in simplest form explain the steps!

Answers

Answer:

7/5

Step-by-step explanation:

What is 1.4 in fraction form? 7/5 is the fraction form of 1.4. 1.4 as a Fraction in simplest form to convert 1.4 to a fraction and simplify to the lowest form.

------------

14/10 = 1.4

7 is half of 14

5 is half of 10

The simplest form of given number is [tex]\frac{7}{5} [/tex].

Given number is, 1.4

Converted into fraction, [tex]=\frac{14}{10} [/tex]

It is observed that, 2 is common in both numerator and denominator.

[tex]\frac{14}{10} =\frac{2*7}{2*5}=\frac{7}{5} [/tex]

Hence, The simplest form of given number is [tex]\frac{7}{5} [/tex].

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If LN=54 and LM= 31, find MN

Answers

I hope this helps. If you have any more questions message me and Id be happy to explain

Answer:

If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.

Step-by-step explanation:

So...

54-31=23

6+(-3)=
answer question plz

Answers

Answer:

-3

Step-by-step explanation: Because it is just like saying 6-3

Answer:

Step-by-step explanation:

6+(-3)

A addition symbol and subtraction symbol both make a negative symbol.

6-3

6-3= 3

Hope this helps!

24x27= Will give brainless

Answers

Answer:

648

Step-by-step explanation:

here u go

Answer:

648

Step-by-step explanation:

24 x 27 = 648

is 6>x a open or closed dot

Answers

Answer:

It will be an open dot.

Step-by-step explanation:

By math textbook states that if a symbol is greater than or less than, it has an open dot.

If it has greater than or less than symbol with a line under it, that means it is a closed dot.

Hope this helps!

What I am really in need of help. If anyone answers this I will award 60 points to anyone!

Answers

There is usually calculator that will solve it for you look for them just plug the question in and it can show the steps too

vince has 1/2 ton of gravel to spread equally in 8 square yards for his driveway. How many tons of gravel will be spread in each square yard?

Answers

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

The answer is 125 I hope this helps:)

A fuel tank has a volume of 34 gallons. When filled with biodiesel, it provides 4,250,000 BTUs. How many BTUs does 1 gallon of biodiesel yield?

Answers

4,250,000/34 = 125,00 :)

Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms

X^4+18x^2+81=( )^2+2( )x^2+ ( )^4

Answers

Answer:

Step-by-step explanation:

Explanation:

Use the extended form of the perfect square trinomial identity:

a4 + 2a2b2 + b4 = (a2 + b2)2.

a2 = x2 and b2 = 32

x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2

= (x2)2 + 2(32)x2 + (32)2

= (x2 + 32)2

= (x2 + 9)2

The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial:

= x⁴ + 18x² + 81

Let u = x²

[tex]\rm =u^2+18u+81[/tex]

= (x²)² + 2(9)x² + (3²)²

= (u + 9)²

= (x² + 9)² or

= (x² + 9)(x² + 9)

Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.

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PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER! (PLEASE DONT JUST TYPE A RANDOM ANSWER)

Answers

The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)

which diagram (s)show adjacent angles

Answers

Hshaygv 81818191 hahahahah 8

8^10 ÷ 8^5 = 8^2 true false

Answers

Answer: I think the answer is false

Answer:

the correct answer is true

Step-by-step explanation:

Tommy’s bedroom is in the shape of a square. If the area of Tommy’s bedroom is 225 square feet, what is the measurement of each side of the room? (I just wan't to mark someone as brainliest)

Answers

Answer:

15 feet

Step-by-step explanation:

if It is known that 5

Answers

could u give the rest of the question?

Answer:

Could you please finish the question?? I don't get you.

I think you understand why there is no answer. My apologies!!

✨Thanks!!!✨

Three to the 4th power

Answers

Answer: 81

Explanation: Multiple three fourl

solve for the equation 4x+5=9

Answers

Answer:

Step-by-step explanation:

4x + 5 = 9
subtract 5 from both sides
4x = 4
divide both sides by 4
x = 1

20 lbs of bananas cost $100. How many lbs of bananas can you get with $85 ?

Answers

Answer:

$17

Step-by-step explanation:

Step 1:

20 : 100 = x : 85

Step 2:

100x = 1700

Answer:

x = 17

Hope This Helps :)

Answer:

$100= 20lbs

$1= (20/100)lbs

$85= 85*(20/100)lbs

= 85(1/5)lbs

= 17 lbs

Shawn is packing these two boxes with food collected during his schools canned food drive. which expression represents the total volume of the two boxes?

Answers

Answer:

27x^3+48x^2-99x

Step-by-step explanation:

The total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

It is given that:

Two rectangular box are shown in the picture.

The volume of the rectangular box = length×width×height

The total volume of the two boxes = (x+3)(x+5)3x + 2x(3x+9)(4x-8)

After simplification:

= 3x³ + 24x² + 45x + 24x³ + 24x² - 144x

= 27x³ + 48x² - 99x

Thus, the total volume of the two boxes is 27x³ + 48x² - 99x option (C) 27x³ + 48x² - 99x is correct.

Learn more about the rectangular prism here:

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bruh what is (-4×-6)-4²

Answers

Answer:

Step-by-step explanation:

the anwser is you use the formal

-24-8p=4p
help please

Answers

Answer:

-2 = p

Step-by-step explanation:

-24-8p=4p

Add 8p to each side

-24-8p+8p=4p+8p

-24 = 12p

Divide each side by 12

-24/12 = 12p/12

-2 = p

What is the equation of the line described below written in slope-intercept form? the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0

Answers

Answer:y = 1/2x-1

Step-by-step explanation:i got it correct

Answer:

y = - (1/2) x + 1

Find the slope of the following lin
y = 4x

Answers

Gradient = slope
Gradient = 4

Gradient = slope

Gradient = 4

Which expression could be used to represent a 45% increase? (Question 9)

Answers

Answer:

Options (A) and (B)

Step-by-step explanation:

Question (9)

Let a number = x

45% increase in the given number will be = x + (45% of x)

= x + [tex]\frac{45x}{100}[/tex]

= x + 0.45x

= x(1 + 0.45)

= 1.45x

Therefore, there will be the two expressions,

A). 1.45x

B). x + 0.45x

Options (A) and (B) will be the correct options.

A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.

Answers

Answer:

length= 84

width= 36

Please i need help thank you

Answers

It’s the three one down. y= -1/2x + 5

f(x) = x^2-3x + 7. find f(-1)

Answers

Answer:

f(x)= x^2-3x+7

(-1)^2-3(-1)+7

1+3+7

Step-by-step explanation:

A 175-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

Answers

Answer:

Step-by-step explanation:

if it is 9:38 what time would it be a half and hour later

Answers

Answer:

If it was 9:38 it would be 10:08

Step-by-step explanation:

Adding 30 to 38 would be 68. And since an hour is only 60 minuets long you would change the hour to 10 and add the 8 minuets.

Hope this helped! :))

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