Binomial 
when added to polynomial 
gives polynomial that does not contain the variable y .
<h3>What is binomial?</h3>
A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
<h3>What is polynomial?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial
when added with
= 
(as 
got cancelled )
that does not contain the variable y
Hence, Binomial when added to polynomial gives that does not contain the variable y .
To know more about Binomial and polynomial here :
brainly.com/question/1698358
# SPJ2
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
This is the answer with the correct work.
Answer:
1.875
Step-by-step explanation:
HELP PLEASE Jackson sells lemonade for $2 per cup. he paid $20 for supplies to sell 5 cups. What is the domain for this scenario
