Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)=
and y=
Equating the both the equation,


x=
For f(x)=
and y=
Equating the both the equation,


x=
Therefore, The function touches the damping factor x=
and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=

Hence,
is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
No, they are not equivalent because if you distribute the -0.5 in the expression -0.5(3x+5) you will get -1.5x-2.5 which is not the same as -1.5+2.5
Answer:
The triangle A B C will be the image of triangle of A B C in origin (0,0)
The formula for compound interest
A = P( 1 + r/n) ^ (nt)
A is the amount in the account at the end
P is the principal balance or the amount initially invested
r is the annual interest rate in decimal form
n is the number of times it is coupounded per year
t is the number of years
A = 1800 ( 1+ .0375/1) ^ (1*6)
A = 1800 ( 1.0375)^6
A = 2244.92138
Rounding to the nearest cent
A = 2244.92