Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form: x
<
3
Interval Notation:
(
−
∞
,
3
)
6 x 532 in expanded form is 6 x 500 + 30 + 2
Answer:
$14400
Step-by-step explanation:
3600*2=7200 after the first 7 years
7200*2= 14400 after the next 7 years
17-14=3 years left after the first 14 years
Answer: E. y(x) = 0
Step-by-step explanation:
y(x) = 0 is the only answer from the options that satisfies the differential equal y" - 4y' + 4y = 0
See:
Suppose y = e^(-2x)
Differentiate y once to have
y' = -2e^(-2x)
Differentiate the 2nd time to have
y" = 4e^(-2x)
Now substitute the values of y, y', and y" into the give differential equation, we have
4e^(-2x) - 4[-2e^(-2x)] + 4e^(-2x)
= 4e^(-2x) + 8e^(-2x) + 4e^(-2x)
= 16e^(-2x)
≠ 0
Whereas we need a solution that makes the differential equation to be equal to 0.
If you test for the remaining results, the only one that gives 0 is 0 itself, and that makes it the only possible solution from the options.
It is worth mentioning that apart from the trivial solution, 0, there is a nontrivial solution, but isn't required here.
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: </h3><h3> "The sum of two polynomials is
. If one of the polynomials is
, what is the other polynomial?"</h3>
By definition, the sum is the result of the addition.
According to the information given in the exercise, the polynomial is obtained by adding the polynomial and another polynomial.
Then, you can find the other polynomial by subtracting from :
So, the steps are:
1. You must distribute the negative sign:
2. Finally, you need to add the like terms:
