Answer:
short form:0.23 Long Form:0.23076923076
Step-by-step explanation:
Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction


On comparing the coefficient
and
On putting the value of A and B

Taking inverse Laplace

Now in G(s) there is onether term 
So F(t)
a = 30
a = 16
-a² + 46a -480 = 0
(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0
(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30
To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0
a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
Answer:
2y(7x + 4z)
Step-by-step explanation:
Consider the common factors of both terms
The gcf of 14 and 8 is 2
The gcf of xy and yz is y
Thus the gcf of both terms is 2y, thus
14xy + 8yz
= 2y(7x + 4z)
Answer:
Its the first graph ok kid
Step-by-step explanation: