Answer:
D because even though the flat fee is 150 paying 5$ a hour it will cost less
14/22
well if you take the possibility and split it in half the you get your probability of it being
Answer:
(x + 3)(x + 5)
Step-by-step explanation:
The given expression is x^2 +8x + 15
Now find the factor of 15 such that when you add the factors, we have to get 8
The right factors of 15.
5 * 3 = 15
5 + 3 = 8
The right factors are 3 and 5.
x^2 + 8x + 15 = (x + 3)(x + 5)
Therefore, x^2 + 8x + 15 = (x + 3)(x + 5)
Thank you.
From general equation of a line;
y=mx+c
m=
m=
m=-1
y=-x+c
Finding value of c;
using point (-2,0)
0=-(-2)+c
c=-2
y=-x-2
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
