Answer:
A
Step-by-step explanation:
Big Brain
Answer:
x = -175
Step-by-step explanation:
Step 1: Define
h(x) = -25
h(x) = 1/5x + 10
Step 2: Substitute and Evaluate
-25 = 1/5x + 10
-35 = 1/5x
x = -175
Answer:
1 question
Step-by-step explanation:
If Edwin got a 95% of the questions right on a 20 question quiz, .95(20) is 19, meaning that he got 19 questions right. 20-19 is 1, which means he got 1 question wrong.
Answer:
5n-t/7
Step-by-step explanation:
The product of 5 and n puts them in the same category and product means times and your going to minus t divided by 7
Answer:
(A)
with
.
(B)
with ![k\in\mathbb{R}](https://tex.z-dn.net/?f=k%5Cin%5Cmathbb%7BR%7D)
(C)
with ![k_1,k_2\in\mathbb{R}](https://tex.z-dn.net/?f=k_1%2Ck_2%5Cin%5Cmathbb%7BR%7D)
(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)).