Answer:
k = ln (6/5)
Step-by-step explanation:
for
f(x)=A*exp(kx)+B
since f(0)=1, f(1)=2
f(0)= A*exp(k*0)+B = A+B = 1
f(1) = A*exp(k*1)+B = A*e^k + B = 2
assuming k>0 , the horizontal asymptote H of f(x) is
H= limit f(x) , when x→ (-∞)
when x→ (-∞) , limit f(x) = limit (A*exp(kx)+B) = A* limit [exp(kx)]+B* limit = A*0 + B = B
since
H= B = (-4)
then
A+B = 1 → A=1-B = 1 -(-4) = 5
then
A*e^k + B = 2
5*e^k + (-4) = 2
k = ln (6/5) ,
then our assumption is right and k = ln (6/5)
The first equation is :
5(x-3)=20
5x-15=20
The property is from multiplication, it is called distributive property says that "multiply the outside number with each term inside the parenthesis.
Second equation is
5(x-3)=20
x-3=4
It is an equation property when a number multiply it change to divide the other side of the equality.
Answer:
2j-20
Step-by-step explanation:
Multiply 2 into the parenthesis. So 2(j) -2(10).
This equals 2j-20.
Answer:
Step-by-step explanation:
We are given that an expression
We have to rewrite in the form of a+bi
We know that
Using the identity
Then, we get
This is required form of a+ib
Answer: at 4 months the cost for each gym is $250
Step-by-step explanation:
