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2 years ago

Please help :) Thanks!

Mathematics

2 answers:

Nady [450]2 years ago

8 0

The slope is positive so you can use 3/1 witch means the slope of the graph is 3.

LiRa [457]2 years ago

4 0

Answer:

Hi there!!

Since this is a positive slope, so we can use 3/1=3

The slope is 3

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Find the general term of {a_n}

Assoli18 [71]

From the given recurrence, it follows that

$a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3$

and so on down to the first term,

$a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k$

(Notice how the exponent on the 2 and the subscript of a in the first term add up to n + 1.)

Denote the remaining sum by S ; then

$S = 1 + 2 + 2^2 + \cdots + 2^{n-1}$

Multiply both sides by 2 :

$2S = 2 + 2^2 + 2^3 + \cdots + 2^n$

Subtract 2S from S to get

$S - 2S = 1 - 2^n \implies S = 2^n - 1$

So, we end up with

$a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}$

5 0

3 years ago

10 - 4 (3-2y) = 8y -5

Lisa [10]

Answer:

No Solutions

Step-by-step explanation:

10 - 4(3-2y) = 8y - 5

Distribute:

10 - 12 + 8y = 8y - 5

Simplify:

-2 + 8y = 8y - 5

Same to both sides

-2 + 5 = 8y - 8y

3 = 0y

No Solutions

Let me know if you have any questions

8 0

3 years ago

Complete the equation of the line whose interpret is (9.0) and slope is -2. Remember to use y=mx+b format

kenny6666 [7]

Answer:

y = - 2x + 18

Step-by-step explanation:

Step 1:

y = mx + b Slope Intercept Form

Step 2:

y = - 2x + b Input Slope Value

Step 3:

0 = - 2 ( 9 ) + b Input x and y values

Step 4:

0 = - 18 + b Multiply

Step 5:

b = 18 Add 18 on both sides

Answer:

y = - 2x + 18

Hope This Helps :)

7 0

3 years ago

I need help if someone would? what is the correlation coefficient of the set of data? round your answer to the nearest thousandt

RSB [31]

0.98867. there are eight numbers, to get from one number to another use this

8 0

3 years ago

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

V125BC [204]

Answer:

y = -5x - 23

Step-by-step explanation:

Write it in point - slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

8 0

3 years ago