Answer:
In the two different ways we have solved the given equation as
Step-by-step explanation:
Given expression is
To simplify the given expression in two ways:
First way:
Given
Multiplying 3 on both sides
(adding the like terms)
Dividing by 3 on both sides
Therefore the given expression is solved that
Another way:
Given
(adding the like terms)
Therefore the given expression is solved that
In the two different ways we have solved the given equation as
Answer:
$12 + $25 = $37
9.25% of 37 is 3.4225 (rounds to 3.42)
$37 + $3.42 = $40.42
Sales tax: $3.42
Total amount spent: $40.42
Answer:
30=15
Step-by-step explanation:
30=40-30+6-4-27
30=10+2-27
40=12-27
30=-15
Answer:
$8
Step-by-step explanation:
$40:15 gallons
<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>:3 gallons
So first you say what did you do to 15 to get three?
15÷3= 5
Now you divide forty by five since that is what you did to 15 to get three.
40÷5= 8
We assume you want to find the inverse transform of s/(s^2 +3s -4). This can be written in partial fraction form as
(4/5)/(s+4) + (1/5)/(s-1)
which can be found in a table of transforms to be the transform of
(4/5)e^(-4t) + (1/5)e^t
_____
There are a number of ways to determine the partial fractions. They all start with factoring the denominator.
s^2 +3x -4 = (s+4)(s-1)
After that, you can postulate the final form and determine the values of the coefficients that make it so. For example:
A/(s+4) + B/(s-1) = ((A+B)s + (4B-A))/(s^2 +3x -4)
This gives rise to two equations:
(A+B) = 1
(4B-A) = 0
