Our goal is to isolate the variable, which is b. What you do to one side must also be done to the other side since we need to maintain equality.

Add 1 to both sides
b/5=11

Then multiply both sides by 5
b=55

Final answer: b=55

3 0

3 years ago

Log_3 (2x) -log_3 (x-3) = 1

gregori [183]

Answer:

x=9

Step-by-step explanation:

5 0

3 years ago

If the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

iragen [17]

Answer:

First three terms: -2, 1, 6

Tenth term: 97

Step-by-step explanation:

Given

$T_n =n^2 -3$

Required

The first three terms and the tenth

So, we have:

First term: n =1

$T_1 = 1^2 - 3 = 1 - 3 = -2$

Second term: n = 2

$T_2 = 2^2 - 3 = 4 - 3 = 1$

Third term: n = 3

$T_3 = 3^2 - 3 = 9 - 3 = 6$

Tenth term: n = 10

$T_{10} = 10^2 - 3 = 100 - 3 = 97$

6 0

3 years ago