Answer:
Please see the attached images for explanation:
Step-by-step explanation:
Please let me know if you have any questions :)
Answer:
C and D
Step-by-step explanation:
I'm guessing the 3 in A and B are exponents, only equations with an highest exponent of 1 is linear
Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to

where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have

so

therefore
The average rate of change is -2
Answer:
(A)
with
.
(B)
with 
(C)
with 
(D)
with
,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then
. With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form
with
real.
(B) Proceeding and the previous item, we obtain
. Which is not a vector space with the usual operations (this is because
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set
and we obtain the characteristic equation
and then the general solution is
with
, and as in the first items the set of solutions form a vector space.
(D) Using C, let be
we obtain that it must satisfies
and then the general solution is
with
, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).
Answer:
The answer is - sample.
Step-by-step explanation:
Based on the set of 356 surveys that were completed and returned, the researcher finds that these students spend an average of 3.1 hours each day watching television.
For this study, the set of 356 students who returned the surveys is an example of a SAMPLE.
A sample is defined as a small part that shows what the whole population is like.