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3 years ago

Lim->infinity 4n^2/n^2+10000n

1 answer:

4 0

let P(n)=4n² / n²+10000n
when n ----------> infinity, the main rule is as follow
lim P(n)=4n² / n²+10000n = lim P(n)=4n² / n²= lim 4= 4
n ----------> infinity n ----------> infinity n ----------> infinity
finally

Lim->infinity 4n^2/n^2+10000n = 4

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Someone help me with a to f please.

fiasKO [112]

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d. Isosceles: Two sides are the same length
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3 years ago

Describe the transformation done to y=1/x to get y=1/4x-12. Please Show Work.

goldenfox [79]

These are the steps for transforming y=1/x to y=1/4x -12:

Step 1: Compress the original function by 4 in x direction. This will yield,

y= 1/4x

Step 2: The resulting function in step 1 is moved down by 12 spaces. The resulting function will be;

y= 1/4x -12

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3 years ago

Ill give you Brainlyest! I need help ASAP work shown, please!! problems 8-15

8_murik_8 [283]

Using the segment addition theorem, the solutions are:

5. x = 17

6. x = 7

7. x = 14

BC = 27

CD = 61

BD = 88

8. AB = 26

9. LJ = 46

10. x = 3

11. FG = 15

12. QS = 34

13. BC = 26

14. EG = 19

15. QS = 68

<h3>How to Apply the Segment Addition Theorem?</h3>

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

CD = 5x - 9 = 5(14) - 9 = 61

BD = 7x - 10 = 7(14) - 10 = 88

8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

-3x = -27

x = 9

AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

-4x = -12

x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

8x - 6x = 20 - 2

2x = 18

x = 9

BC = AB = 3x - 1 = 3(9) - 1

BC = 26

14. 5x - 1 = 7x - 13

5x - 7x = 1 - 13

-2x = -12

x = 6

EG = 6x - 4 - 13 = 6(6) - 4 - 13

EG = 19

15. RT - ST = RS

Substitute

8x - 43 - (4x - 1) = 2x - 4

8x - 43 - 4x + 1 = 2x - 4

4x - 42 = 2x - 4

4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

Learn more about the segment addition theorem on:

brainly.com/question/28263183

#SPJ1

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2 years ago

Find the volume of the prism height 3 in 5 and 12

Keith_Richards [23]

Step-by-step explanation:

To find the volume of a rectangular prism V=whl so w=3 x 5 x 12. Multiply all those numbers together to get 180 inches cubed.

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3 years ago

Read 2 more answers

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Vedmedyk [2.9K]

Answer:

$5\:\:and\:\:7$ are the required consecutive odd integers.

Step-by-step explanation:

Let's say, the two consecutive odd integers be, x and x+2.

$x\left(x+2\right)=2\left(x+2\right)+21\\\\x^2+2x=2x+4+21\\\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\\\x^2+2x=2x+25\\\\x^2+2x-2x=2x+25-2x\\\\x^2=25\\\\x=5$

5 0

3 years ago