How do you know if the limit is positive or negative infinity?

Answers

Answer 1

Limit base x to a f(x) is equal to infinity if we can say f(x) arbitrarily large for all x sufficiently x=a, from both sides, without actually letting x=a.

Given that,

We have to find how do we know if the limit is positive infinity or a negative infinity.

We know that,

What is infinity?

On a number line, numbers move closer to positive infinity as they advance to the left and negative infinity as they move to the right. Positive infinity is always larger than any number, while negative infinity is always smaller.

Now,

We say

Limit base x to a f(x) is equal to infinity if we can say f(x) arbitrarily large for all x sufficiently close to x=a, from both sides, without actually letting x=a.

And

Limit base x to a f(x) is equal to negative infinity if we can say f(x) arbitrarily large and negative for all x sufficiently close to x=a, from both sides, without actually letting x=a.

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Related Questions

- A rectangle with sides measuring 12 cm x 16 cm has a
diagonal drawn in it. What is the perimeter of each of
the resulting congruent triangles?

Answers

Answer:

48cm

Step-by-step explanation:

Given data

Dimension

12cmx16cm

Before we can get the perimeter of the resulting triangles

let us find the length of the diagonal

Diagonal

D^2= 12^2+ 16^2

D^2= 144+256

D^2= 400

D=√400

D=20cm

Hence the diagonal is 20cm

Therefore the perimeter of each triangle is

=12+16+20

=48cm

Which of the following inequalities defines the graph below

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.

Answers

Area = 10(pi)(16) = 160pi cubic feet
160pi = 502.56
502.56/8 = 63 minutes

The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.

Used the concept of the volume of the cylinder:

The volume of the cylinder can be determined using the formula,

[tex]V = \pi r^2h[/tex]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

Since, the volume of the cylinder:

[tex]V = \pi r^2h[/tex]

Substituting the values, we have;

[tex]V = 3.14 \times 4^2 \times 10[/tex]

[tex]V = 502.4 \tex{ feet^3 }[/tex]

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]

Substituting the values, we have;

[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]

[tex]\text{Time} = 62.8[/tex]

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

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Find the slope of the line graphed below .

Answers

Answer:

the slope would be rise over run

it is shown in the graph it rise 3units and run 2units therefore it's 3/2

Mrs. Harris made 37 cookies for a bake sale. She let each of her 3 children have a cookie. She put the rest in baggies with 2 cookies in each bag. Which number sentence can be used to find B, the number of bags of cookies she has for the bake sale?

Answers

Answer:

35 PC's baked used has then

Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net income is more than $120. B) Her gross income is less than $120. C) Her net income is less than $120. D) Her gross income is more than $120.

Answers

Answer: Her net income is less than $120.

Step-by-step explanation:

Based on the information given, the gross income for Amy will be:

= 15 × $8

= $120

Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120

what is the slope of this line

Answers

Answer:

y=-4

Step-by-step explanation:

how to solve this? Is the question correct? ty :)

Answers

Answer:

The proposition is true.

Step-by-step explanation:

Now we proceed to demostrate that expression given is true by algebraic means:

1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given

2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex]   [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division

6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex]         [tex](x^{-1})^{-1}[/tex]

7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex]  Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property

10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result

Please solve no need for explanation

Answers

Answer:

I am not sure

Step-by-step explanation:

But I think I know

Answer:

Step-by-step explanation:

n=0

w=3120

i=[tex]\sqrt 2[/tex]

q=[tex]\frac{-6}{7}[/tex]

r=5.123456...

The diagram shows the dimensions of a diving pool 16 ft 25 ft 20 ft so what's the volume of the dividing pool?

A. 61 cubic feet
B. 320 cubic feet
C. 500 cubic feet
D. 1440 cubic feet
E. 8000 cubic feet


PLS HELP ​

Answers

Answer:

8000 cubic feet

Step-by-step explanation:

Volume of the pool = Length * Width * height

Given

Length =16ft

Width = 25ft

Height = 20ft

Substituting into the formula

Volume = 16 * 25 * 20

Volume of the pool = 8000 cubic feet

Solve the compound inequality and give your answer in interval notation

4x-4 < -36 OR -2x-1 ≤ -7

Answers

Answer:

(-∞, -8) U [3, ∞)

Step-by-step explanation:

4x - 4 < -36   OR -2x -1 ≤ -7

4x < -32         OR  -2x ≤ -6

 x < -8            OR     x ≥ 3    *divide by a negative, switch inequality

      (-∞, -8) U [3, ∞)  

   

Which pictures below show pure substances?

Answers

The answers are A,B, and C

Solve for r.

1= -10 +r

Answers

Answer:

11

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

Guys help me on this which is the correct answer:((

Answers

Answer:

A

Step-by-step explanation:

find x.

1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))

answer is D

remember to flip inequality sign when dividing by a negative

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric, Find the surface area that will be covered in each color of fabric, Enter your answers in the boxes.​

Answers

Answer:

I am sorry I would love to help but I can't fiqure it out without the side length.

Step-by-step explanation:

btw i know its not your fault i dont  see the width

Lisa is planning to paint her house over the weekend. She paints 1/3 of a room in an hour. How many rooms will she paint in 6 hours? Solve fraction

Answers

Answer:

2

Step-by-step explanation:

Lisa paints 1/3 of the room in an hour

Therefore the number of rooms she will paint in 6 hours can be calculated as follows

1 hour= 1/3

6 hours= x

Cross multiply

x= 1/3 ×6

= 2

Hence 2 rooms can be painted in 6 hours

What is the area of this tile? 10 in 8 in. 6 in.​

Answers

Answer:

i think 24

Step-by-step explanation:

1/2 H x B

6 x 8 =48 1/2 is 24

The area of the tile is 24 square in.

What is a triangle?

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The tile is in the shape of right triangle.

The sides of triangle are 10 in, 8 in, 6 in.

Here, Base of the triangle,b = 6 in

Height of the triangle,h = 8 in

The formula of area of triangle is

[tex]Area = \frac{1}{2}(base) (height)[/tex]

⇒ [tex]A=\frac{1}{2}(6)(8)[/tex]

⇒ [tex]A=24[/tex]

Hence we can conclude that the area of the tile is 24 square in.

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an isosceles triangle has a hypotenuse of 28. how long is a leg?​

Answers

Answer:

the answer is 14 that's what I got

Use this picture to name one pair of VERTICAL angles

Answers

Answer:

YOU LAIR HOW COULD YOU

Step-by-step explanation:

Answer:

1 and 6

Step-by-step explanation:

Find the area and thank

Answers

Answer:

6 meters

Step-by-step explanation:

This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is [tex](base*height)[/tex] ÷ 2. So in this situation:

[tex](3*4)=12[/tex] ÷ [tex]2 = 6[/tex]

Step-by-step explanation:

0.5×base×height

Area =1/2×4×3=6

To the nearest inch, what is the area of a circle with a radius of 6 centimeters? EZ FREE POINTS

Answers

Answer:

36 pi    or   113.04 cm squared

Step-by-step explanation:

Answer:

A≈113.1cm²

Step-by-step explanation:

HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Answers

I don’t know what you mean by hurry? What do you mean by hurry?

i’m bad at decimals help plz

Answers

Answer:

<

Step-by-step explanation:

Because 3 < 4

Answer:

its <

Step-by-step explanation:

60.3 is greater than 60.44

If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.

Find the new amount.

1. Increase 25 by 24%

2. Increase 120 by 75%

3. Decrease 35 by 60%

4. Decrease 72 by 65%

Answers

1.) 32.89
2.) 480
3.) 14
4.) 25.2

Hope this helps! Can I please have brainliest?

What is the length of side PQ in this figure?
5
P
R
6
3
O A. 4
OB. 14
O C. 52
OD. 161
Reset
Next

Answers

Answer:

c. 52

Step-by-step explanation:

since that triangle QRE is a right angle triangle

therefore QE = root 5²_3² = 4 cm " pythagorean "

since triangle PQE is a right angle triangle

therefore PQ= root 4²+6²= 2 root 13 = root 52

The length of side PQ in the figure given in the task content is; 6.48.

What is the length of side PQ?

We are required to determine the length of side PQ;

It follows from Pythagoras theorem that;

5² - 3² = (PQ)² - 6²

(PQ)² = 16 + 36

PQ = √42.

PQ = 6.48

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How many real solutions will the graph of g(x) = 2x2 - 4x + 7 have?
F
O real solutions
G
1 real solution
H
2 real solutions
J
more than 2 real solutions

Answers

Answer: zero real solutions

Step-by-step explanation: constants from equation are a= 2 , b= -4 and c= 7.

Discriminant D= b^2 -4ac = (-4)^2 -4x2x7= 16 - 56 = -40 <0 so there's no solution

For equation g(x)= 0

2x+8+110=180 or 90 degrees

Answers

Answer:

2x+8=180° (being vertically opposite angles)

Step-by-step explanation:

2x+8=110°

or, 2x= 110-8

or, x=102°÷2

: x= 51 answer

Use the geometric mean to find the value of e

Answers

Answer:

suppose,

a=6

b=24

then we know that,

geometric mean (e)=_/ab

=_/6×24

=_/144

=_/(12)^2

=12 Ans

Answer:

12

Step-by-step explanation:

to find the altitude which is e,using geometric mean, you need to :

multiply the two values that are given, which is the value in between JM and the value in between mL

so 6*24 =144

then the square root of the result, which is 144, is the altitude which is e.

so 144 = 12

therefore e=12

Each onion ring had 45 calories and each slider have 325 calories, a combination meal with onions rings is a total of 920 calories and 3 times as many onion rings as there are sliders, white a system of equation

Answers

Answer:

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Step-by-step explanation:

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Let

Number of onion rings in the combination = x

Number of sliders in the combination = y

45x + 325y = 920 (1)

3 times as many onion rings as there are sliders

x = 3y (2)

Substitute x = 3y into (1)

45x + 325y = 920

45(3y) + 325y = 920

135y + 325y = 920

460y = 920

y = 920/460

y = 2

Substitute y = 2 into (2)

x = 3y

x = 3(2)

x = 6

Number of onion rings in the combination = x = 6

Number of sliders in the combination = y = 2

Please I need help!! Please anyone that sees this could you please help me. I don't understand it.

Answers

9514 1404 393

Answer:

  M = (0, 0), which IS the origin

Step-by-step explanation:

The midpoint is given by the formula ...

  M = (A + B)/2

  M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2

  M = (0, 0) . . . . . IS the origin

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