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yan [13]
3 years ago
10

Please help thanks a(n)=−6+3(n−1)

Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

a=-1

Step-by-step explanation:

a(n) = -6+3(n-1)

a(n) = -6+3n-3

a(n) -n=-6+3n-n-3

a=-6+3-3

+3 +3

a3=-3

---- ----

3 3

a=-1

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Please show ALL work!<br><br> Solve for x: log₂x+log₂(x-6)=4
Vlad [161]
Answer: x = 8

---------------------------------------------
---------------------------------------------

I'm going to use the notation log(2,x) to indicate "log base 2 of x". The first number is the base while the second is the expression inside the log (aka the argument of the log)

log(2,x) + log(2,(x-6)) = 4
log(2,x*(x-6)) = 4
x*(x-6) = 2^4
x*(x-6) = 16
x^2-6x = 16
x^2-6x-16 = 0
(x-8)(x+2) = 0
x-8 = 0 or x+2 = 0
x = 8 or x = -2

Recall that the domain of log(x) is x > 0. So x = -2 is not allowed. The same applies to log(2,x) as well.

Only x = 8 is a proper solution.

------------------------

You can use the change of base rule to check your work
log base 2 of x = log(2,x) = log(x)/log(2)
log(2,(x-6)) = log(x-6)/log(2)

So,
(log(x)/log(2)) + (log(x-6)/log(2)) = 4
(log(8)/log(2)) + (log(8-6)/log(2)) = 4
(log(8)/log(2)) + (log(2)/log(2)) = 4
(log(2^3)/log(2)) + (log(2)/log(2)) = 4
(3*log(2)/log(2)) + (log(2)/log(2)) = 4
3+1 = 4
4 = 4
The answer is confirmed

5 0
3 years ago
Can i get some help please
kramer
2/11 is the answer for b
5 0
2 years ago
Help me please. I don't understand.
Naddika [18.5K]

Answer:

what is it

Step-by-step explanation:

7 0
3 years ago
Multiply (2+3i)(4+6i)
DochEvi [55]

Answer:

-10+24i

hope that helps

7 0
3 years ago
Read 2 more answers
100 POINTS!! Use the relationship between the angles in the figure to answer the question.
katrin2010 [14]

C.x+49+28=180. Explanation:the top angle and the bottom angles are same so........ 49+28=77. 180-77=103°

6 0
3 years ago
Read 2 more answers
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