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MissTica
2 years ago
15

Need help ASAP pls I have 20 min

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
7 0

Answer:

x > - 8

Step-by-step explanation:

x + 5 > -3

x > - 8

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How do you do this question?
Lena [83]

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0.  So we can eliminate the top left option.  That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x).  The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

3 0
2 years ago
Six more than twice a number is 20
4vir4ik [10]

Answer:

7

Step-by-step explanation:

7x2=14

14+6=20

5 0
2 years ago
What is 35.77 rounded off to the nearest whole number
Alex777 [14]

Answer:

36

Step-by-step explanation:

since the .77 is larger than .5, you automatically round it up

6 0
3 years ago
Read 2 more answers
At a restaurant, servers keep 75% of the tips from each table, and support staff keeps 25%. A $20 tip is left at a table. How mu
EleoNora [17]
The server keeps $15


75% of 20 =

.75 x 20 = 15
7 0
2 years ago
Read 2 more answers
The following triangles are similar by SAS~
svet-max [94.6K]

Step-by-step explanation:

sides:91/12=42/26

angles:LMN=LBA and MNL=BAL

5 0
2 years ago
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