f(x)=0
Domain are the set of x values
f(x)=0 , we find all the x values where y =0
At x intercepts y is always 0
so we find all the x intercepts.
x intercepts are the points where the graph crosses x axis
In the graph we can see that the graph crosses x axis at
-2.5 , -0.75 and 1
-2.5 , -0.75 and 1 are the domain where f(x)=0
Answer:
Step-by-step explanation:
Before number line can be drawn, there is need to find the value of x in the inequality given. Thus,
Divide both sides by 2
The number line is indicated in the attached picture.
Answer:
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Answer:
the probability of rolling two 6's is 2 out of 12 or 0.167 rounded to the nearest thousandth
Step-by-step explanation:
there are 6 sides on a cube so that's 5 other chances that you'll get 1-5 and having two cubes doubles the chance.
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
