For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.
1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
B. 11m + 4n
4. 2y<u>^3</u> - 4y^2 + y + y<u>^3</u>, exponents tell you what are like terms
C. 2y^3 and y^3
5. 4x<u>^3</u> - 3x^2 + x + 3x<u>^3</u>, combine like terms, then put in descending order
D. 7x^3 - 3x^2 + x
Answer:
Linear and non-homogeneous.
Step-by-step explanation:
We are given that

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).
We have also find type of differential equation.



It is linear differential equation because this equation is of the form
y'+P(x)y=g(x)
Compare it with first order first degree linear differential equation



Homogeneous equation

Degree of f and g are same.

Degree of f and g are not same .
Therefore, it is non- homogeneous .
Linear and non-homogeneous.
Answer:
- The Expression will be defined if the denominator is not equal to 0 since any number divided by 0 is undefined.
- Therfore our main priority here is to check the denominator only because it's the only part that can make the expression undefined
- the expression will be defined for all real numbers (a) BUT 3+a must not equal to 0 therfore (a) can be all real numbers but must never be equal to -3
Step-by-step explanation:

- HOPE THIS HELPS!
Happy new year have a good day