F(x)= -4x+9
Multiply f*x
xF=9+4x
Solve for X: -4x+xF=9+4x-4x=0
Combine like terms: -4x+4x=0
-4x+xF=9+0= 9
-9+-4x +xF = 0.
Answer:
D
Step-by-step explanation:
If a function has x in the denominator, it cannot be a polynomial.
The rest of the options either don't apply to the equation, or are not rules for polynomials.
Answer:
Step-by-step explanation:
This problem is just really long- it's trying to confuse you with complicated wording. Here's it demystified:
a)
t = 0 degrees Celsius
d = 1500 meters
Find the temperature, T.
b)
d = 300 meters
T = 26 degrees Celsius
Find the ground temperature, t.
NOTE: The temperatures are different! T is the final temperature and t is the ground temperature.
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
Answer:
11 months
Step-by-step explanation:
185 - 20 = 165
165 ÷ 15 = 11