lim x-V16-12
D
x4
Plz help

Lim X-V16-12Dx4Plz Help

Answers

Answer 1

Answer:lim x- √16-x²=32

Step-by-step explanation:

[tex]x^{4}[/tex]-16

=(x²)²-4²

=(x²-4)(x²+4)

=(x²-2²)(x²+4)

=(x-2)(x+2)(x²+4)

So:

[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)

with exclusion:

x[tex]\neq[/tex]2

Hence:

lim [tex]\frac{x^{4}-16 }{x-2}[/tex]

x-2

((x+2)([tex]x^{2}[/tex]+4))=

((2)+2)((2)²+4)=4⋅8=32


Related Questions

Find the upper bound for the following lengths:
b) 43.18 cm correct to 2 decimal places.

Answers

Answer:

43.185

Step-by-step explanation:

43.185.is the upper bound of 43.18 which is corrected to 2 decimal places.

What is upper bond?

An element greater than or equal to all the elements in a given set

We need to find the upper bound of 43.18 cm correct to 2 decimal places

2 decimal place = 0.01

0.01 ÷ 2 = 0.005

So now add 43.18 and 0.005.

43.18 + 0.005 = 43.185.

Therefore 43.185.is the upper bound of 43.18 correct to 2 decimal places.

To learn more on Upper bound click:

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Pi is the number of times a circle’s diameter will fit around its.

Answers

Answer: yes

Step-by-step explanation: pi is 3.14(on and on)

AB is a chord of a circle of radius 5cm the distance of AB from the centre is 3cm then AB is?​

Answers

Answer:

8 cm

Step-by-step explanation:

We first want to draw a diagram with the given information.

I am unsure if the image shows below, or if it is an attachment.

We then see we have a right triangle. What is a theorem that is commonly associated with right triangles?

So we use the pythagorean theorem to find the missing leg of the triangle has a length of 4 cm. But how does this help us? Well, when finding the distance from the center of a circle to a chord, we always find the line that is perpendicular to the chord and divides it in half (and passes through the center), and find the length.

So, the leg of length 4 we just found? That's half of our answer.

Since 4 × 2 = 8, we know that the length of AB is 8 cm.

what is x of the rectangle?

Answers

Answer:

x = 8

Step-by-step explanation:

Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)

Since the two angles that make up angle E sum up to 90, we can make an equation:

(9x - 6) + (2x + 8) = 90

11x + 2 = 90

11x = 88

x = 8

Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represented by. The tiles represent an unknown number.

Answers

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

What are algerbra tiles?

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x -3.

The complete statements are as follows;

The variable is represented by one orange x tiles.

Subtract three is represented by three blue - tiles.

The tiles represent subtraction 3 from an unknown number.

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

Answer:

Use the algebra tiles to model x – 3.

Then complete the statements.

The variable is represented by

✔ one orange x tile

Subtracting three is represented by

✔ three blue – tiles

.

The tiles represent

✔ subtracting 3 from

an unknown number.

Step-by-step explanation:

List the following fractions in order from least to greatest ½ ¾ 3/8 5/8 5/16 7/16 9/16 and 11/16

Answers

Answer:

3/8,5/8,9/16,7/16,11/16,5/16,3/4,1/2

Step-by-step explanation:

Eemil is training for a marathon. The ratio of the number of minutes to the number of miles they run is 30 to 3. At this rate, how many minutes will it take Eemil to run the race (26.2 miles)?

Answers

30/ 3 = 10
10 * 26.2 = 262
262 Minutes——> 4.37 hours

Verify that - (-x) = r for

(1). x =2/15

(2).x=-13/17​

Answers

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation:

Name the ordered pair for point H. 5 dots plotted on a coordinate plane. Point A is 5 units above and 4 units to the right of the origin. C is 4 units above and 5 units to the right of the origin. H is 3 units above and 1 unit to the right of the origin. K is 1 unit above and 3 units to the right of the origin. And N is 0 units above and 2 units to the right of the origin.

Answers

Answer:

Point H is (1,3)

Step-by-step explanation:

The x co - ordinate lies to the right and the y co-ordinate lies above . We are given  H is 3 units above and 1 unit to the right of the origin  so the co-ordinates of H  are ( 1,3).

As this particular order (x,y) is used to represent the the point it is called ordered pair.

The ordered pairs of the other points are

Point A is (4,5)

Point  C is (5,4)

Point H is (1,3)

Point K is (3,1)

Point N is (2,0)

What is the rate of change for this table?

Answers

Answer: 3

Step-by-step explanation: rate of change is y/x and the y/x is 6/2 which equals 3/1 or 3.

Without using a calculator, fill in the blanks with two consecutive integers to complete the in equality

Answers

Answer:

[tex]\sqrt{16} < \sqrt{17} < \sqrt{18}[/tex]

Step-by-step explanation:

Answer:

[tex]4 < \sqrt{17} < 5[/tex]

Step-by-step explanation:

Mumble. The square root is something called "monotonic", which means that [tex]a > b \Leftrightarrow \sqrt a > \sqrt b[/tex]

A neat trick to solve this will be: go back from 17 till you find a perfect square, then add 1 to it:

In our case it's easy to do it, since the number before 17 is a perfect square already ([tex]16=4^2[/tex]), so we can pick it as the lower bound, and then add 1 to the base to find the next one ([tex]4+1= 5)[/tex]

What is the total length, in inches, of the longest piece and shortest piece of ribbon?

Help?!

Answers

Answer:

Step-by-step explanation:

12x3+14[tex]\frac{2}{4}[/tex]x2+14[tex]\frac{3}{4}[/tex]

total length would be 79.75 inches

the longest length of rope would be the farthest right one, or 14.75

and the shortest one would be the 3 pieces of 12 inches.

i hate how the intervals are set up for this problem lol.

please rate and mark as brianlest.


Solve for X
13
6
2x – 18
U
4x - 29
PLEASE HELP!

Answers

Answer:

x = 15

Step-by-step explanation:

SV = ST + TU + UV , substitute values

4x - 29 = 13 + 6 + 2x - 18 , that is

4x - 29 = 2x + 1 ( subtract 2x from both sides )

2x - 29 = 1 ( add 29 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

The points S, T, U, and V are collinear points. Then the value of the variable x will be 15.

What are collinear points?

If the points are in a line, then the points are collinear points.

Let A, B, C, and D are collinear point. Then the condition of the collinear will be

AB + BC + CD = AD

The line segment SV is given.

And the point T and U lies on the line segment SV.

The length of ST is 13, the length of TU is 6, the length of UV is 2x - 18, and the length of SV is 4x - 29.

It is clear that the points S, T, U, and V are collinear points.

 ST + TU + UV = SV

13 + 6 + 2x - 18 = 4x - 29

              2x + 1 = 4x - 29

                   2x = 30

                      x = 15

The value of the variable x will be 15.

More about the collinear points link is given below.

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Help with finding out if an equation has multiple solutions.

Answers

Answer:

Exactly one solution.

Step-by-step explanation:

When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.

Answer:

B

Step-by-step explanation:

23y+50+27y=50y+50

find your same like terms and solve

23y+27y+51y

51y+50=50y+50

51y +50y=50+50

you would be left with one solution

101y=100

Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies? Choose 1 answer: Choose 1 answer: (Choice A) A They have too much butter. (Choice B) B They don't have enough butter. (Choice C) C They have the right amount of butter.

Answers

Answer:

(Choice A) A They have too much butter.

Step-by-step explanation:

Victoria's favorite cookie recipe

Grams of butter : grams of flour

= 170 : 250

= 170 / 250

= 17 / 25

Victoria's daughter made cookie

Grams of butter : grams of flour

= 340 : 400

= 340 / 400

= 34 / 40

= 17 / 20

(Choice A) A They have too much butter

Victoria will think her daughter's cookies have too much butter

Answer:

a

Step-by-step explanation:

how do you find the height of a cylinder? ​

Answers

The values of the radius and volume are placed in the formula to get the volume of the cylinder

V/ πr2

hope it helps.

Answer:

[tex]H = \frac{V}{\pi r^{2} }[/tex]

Step-by-step explanation:

So long as you have the volume and radius of a cylinder, it should be easy!

Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).

That is the formula for finding the height of a cylinder!

I hope this helped!

The diagram shows a square pizza box with side lengths of 14 inches. In the box is a circular pizza with a radius of 6 inches. What is the difference between the area of box and the pizza?

Answers

Answer:

18cm

Explanation

2πr

2×22/7×6=38cm

4l=14×4=56

The difference=56-38=18cm

what is 346924632968/33656

Answers

Answer:

Your answer is 10307957.956 :)

Step-by-step explanation:

346924632968/33656 = 10307957.956

have an amazing day!!

Please rate and mark brainliest!!

The correct answer: is 10307957.956:).

A box is 1/5 inch taller than it is wide

Answers

hello are we solving for the width?

A-b =56

A:b is equal to 9:2

Answers

Answer:

  A = 72

  B = 16

Step-by-step explanation:

Ratio problems can often be worked by considering them in terms of "ratio units." Here, the difference in ratio units is 9-2 = 7. The difference between the actual numbers is A -B = 56. This means each ratio unit stands for an actual number value of 56/7 = 8

Then the ratio of actual values is ...

  A : B = (9·8) : (2·8) = 72 : 16

Check: These actual values of A and B have a difference of 72-16 = 56.

  (A, B) = (72, 16)

James has 858 feet of rope. There are 18 teams of hikers.
If James gives an equal amount of rope to each team, how much rope will each team receive?

The answer is a fraction. also simplify

Answers

Answer:

48 or 47

Step-by-step explanation:

858/18 = 47.6

Observe the pattern 5,9,13, 17. In this number pattern, find the algebraic expression ?
help me!!! please
and explain me please!!!​

Answers

Answer:

+ 4

Step-by-step explanation:

The pattern of the expression is +4 as you see it goes 5 to 9

5 + 4=9

And if i'm correct the number after 9 will be 13 and it is

9 + 4=13

next it will be a 17 because 13 + 4=17

The next following numbers of the pattern will be 21  25  29  33  37 41 45

Hope it helps have a great day:)

A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation.

Answers

Answer:

1.7 x 10-5

Hope This Helps!

22% as a fraction in it lower form

Answers

Answer:

11/50

Step-by-step explanation:

22% = 22/100 = 11/50

11/50 cannot be reduced further.

In class VIII, there are 140 students. The ratio of boys to girls is 4:3. a) Find number of girls. b) Find number of boys.​

Answers

Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.

AWNSER CORRECTLY! 50 POINTs

Answers

Answer:

y = x+4

Step-by-step explanation:

Using the y=mx+b format, we can define the slope as 1...

1) y=1x+b or y=x+b

The y-intercept ( aka b )

2) y=x+4

Answer provided by Education Point

Answer:

[tex]\text{y = x + 4}[/tex]

Step-by-step explanation:

[tex]\text{Slope intercept form:}[/tex] [tex]\text{y = (m)x + (b)}[/tex]                  [tex]\text{[m = Slope; b = y-intercept]}[/tex]

To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.

[tex]\rightarrow \text{y = (m)x + (b)}[/tex]

[tex]\rightarrow \text{y = (1)x + (4)}[/tex]                                                            [tex]\text{[m = 1; b = 4]}[/tex]

[tex]\rightarrow\boxed{\bold{\text{y = x + 4}}}[/tex]

Learn more about slope intercept form:

https://brainly.com/question/20786109

Convert 3,450,000 into scientific notation.

Answers

Answer:

3.45 x 106

Step-by-step explanation:

Answer:

3.45 * 10⁶

Hope that helped :D

A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions. How many feet does a person on the carousel travel during these 8 revolutions

Answers

The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet

What is the circumference of a circle?

The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

circumference of a circle = 2πr

2 x 20 x 3.14 = 125.60 feet

Number of revolutions = 8 x 125.60 feet = 1004.80 feet

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

someone help me please!
i need the slope to this
(1,6) and (3,8)=

Answers

The slope is of (1,6) and (3,8) is 1 because I said it is

Maria ran 4 7/8 miles on Monday she ran 2 and 3/8 miles on Friday how many miles to Maria run all together

Answers

Answer:

7 2/8

Step-by-step explanation:

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