get a common denominator which is 24
3 7/8 = 3 21/24
6 /4 = 6 6 /24
3 21/24 - 6 6 /24
big number minus small number take sign of larger
6 6/24
- 3 21/24
-------------
5 30/24
3 21/24
--------------
2 9/24
2 3/8
the sign of the larger is negative
-2 3/8
Answer:
0.67
Step-by-step explanation:
Formula: k = y/x
k = 2/3
k = 0.66666666666
k = 4/6
k= 0.66666666666
k = 6/9
k = 0.66666666666
k = 8/12
Round 0.67
Hence, answer = 0.67
[RevyBreeze]
Answer:
-20
Step-by-step explanation:
x(-y+z) [Switch in the values]
=5(-5+1) [Use distributive property and multiply]
=(-25)+5 [do the basic math]
=(-20) [final answer]
Answer
(a) 
(b) 
Step-by-step explanation:
(a) 
δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=> 
where d(t) = δ(t)
=> 
Integrating, we have:
=> 
Inputting the boundary conditions t = a = ∞, t = 0:
(b) 
The Laplace transform of function f(t) is given as:
Integrating, we have:
![F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.](https://tex.z-dn.net/?f=F%28s%29%20%3D%20%5B%5Cfrac%7B-e%5E%7B-%28s%20%2B%201%29t%7D%7D%20%7Bs%20%2B%201%7D%20-%20%5Cfrac%7B4e%5E%7B-%28s%20%2B%204%29%7D%7D%7Bs%20%2B%204%7D%20-%20%5Cfrac%7B%283%28s%20%2B%201%29t%20%2B%201%29e%5E%7B-3%28s%20%2B%201%29t%7D%29%7D%7B9%28s%20%2B%201%29%5E2%7D%5D%20%5Cleft%20%5C%7B%20%7B%7Ba%7D%20%5Catop%20%7B0%7D%7D%20%5Cright.)
Inputting the boundary condition, t = a = ∞, t = 0:
Answer:
y = 7
Step-by-step explanation:
Given:
x1 = -2
y1 = 7
slope (m) = 0
y - y1 = m ( x - x1 )
y - 7 = 0 ( x - (-2) )
y - 7 = 0 ( x + 2 )
y - 7 = 0
y = 7
