Answer:
y(s) = 
we will compare the denominator to the form 

comparing coefficients of terms in s
1
s: -2a = -10
a = -2/-10
a = 1/5
constant: 

hence the first answers are:
a = 1/5 = 0.2
β = 5.09
Given that y(s) = 
we insert the values of a and β
= 
to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A
5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)
-52 = B(26)
B = -52/26 = -2
to get A lets substitute s=0.4
5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)
-51 = 0.2A - 52.08
0.2A = -51 + 52.08
A = -1.08/0.2 = 5.4
<em>the constants are</em>
<em>a = 0.2</em>
<em>β = 5.09</em>
<em>A = 5.4</em>
<em>B = -2</em>
<em></em>
Step-by-step explanation:
- since the denominator has a complex root we compare with the standard form

- Expand and compare coefficients to obtain the values of a and <em>β </em>as shown above
- substitute the values gotten into the function
- Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
- after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above
Thanks...
Answer:
Option 4: y > 2x
x + 2y < -8
Step-by-step explanation:
Taking first equation:
y > 2x
Putting x = 0
y > 0
Putting y = 0
0 > x
So the blue line in drawn according to first equation.
Taking second equation:
x + 2y < -8
Putting x = 0
2y < -8
y < - 4
putting y = 0
x < -8
So the red line is drawn accordingly.
i hope it will help you!
Your answer is 4
You have to use the distribute property and distribute the - to the -7 and the 3
The -7 will become and the 3 will become -3
Then you add those together and when you add a negative to a positive you basically subtract
So 7+-3 is 4
A is your answer
Answer:
c
Step-by-step explanation:
if you follow the points, this is the only answer choice that doesnt repeat any line segments
Answer:
$1.25 & $10.25
Step-by-step explanation:
Let c be the cost of renting one chair and t be the cost of renting table. We're given two equations:
#1. 5c + 3t = 37
#2. 2c + 6t =64
We have a system of equations. Using our system of equations calculator, we can solve this problem any of 3 ways below:
- Chairs (c) cost $1.25
- Tables (t) cost $10.25