Answer:
Step-by-step explanation:
where f(x) is replaced by y
Take Laplace on both sides
We can resolve into partial fraction to get Y = L(y)
Let this equals
Solving we get
s=-9
24C = 10 or C =5/12
s=-2: A=10/12=5/6
s=-4: B = -5/4
Taking inverse Laplace
Answer:
4.32
Step-by-step explanation:
You can multiply 16 by 0.27 to get the answer.
16*0.27=4.32
You can check your work with estimation because 27% is about 1/4 of the number, and just by looking at the number, 4 is 1/4 of the number.
Answer:
Option C.
Step-by-step explanation:
We need to translate each phrase and find the different expression.
"+" sign is used for sum, more and total.
Twice means two times of a number.
Let n be the unknown number.
Two more than a number = n+2
The total of n and 2 = n+2
Twice the number n = 2n
Sum of n and 2 = n+2
From the above expressions it is clear that only 2n is different from other.
Therefore, the correct option is C.
5a)
2x + 94 = 7x + 49 (vertical angles are equal)
2x - 7x = -94 + 49
-5x = -45
x = 9
Answer
9
5b)
4y + 7x + 49 = 180 (supplementary angles, sum = 180)
4y + 7(9) + 49 = 180
4y + 112 = 180
4y = 68
y = 17
Answer
17
6)
x = 6x - 290 (vertical angles are equal)
-5x = -290
x = 58
Answer
58
