This answer maybe long, but it includes all the essential steps to make it easy
This problem shows that the fraction of the time worked by three individuals need to be = to one person working full time.
It just means that the fractions need to add up to one. Since we got to know that one person works 1/2 the time on the project and the other works 1/3 of the time, let us use a variable to represent the amount of time the last person needs to work to have a total of 1.
This is quite easy:
variable = t(representative of the last person)
step 1: 1=1/2+1/3+t
step 2: keep the variable alone at one side
1-1/2-1/3=t
this step on a calculator will be easy, but dont have a calculator? Thats fine!
Lets have a common denominator
2 and 3 can be 6
1/1*(6/6)-1/2*(3/3)-1/3*(2/2)=t
6/6-3/6-2/6=t
step 3: just subtracts and get the answer
1/6=t
In conclusion, the third person must be working 1/6 the time on the project
Answer:
Step-by-step explanation:
We can find the slope by using rise over run.
Given the coordinate points that are part of the graph.
Therefore the slope is 1/2.
The general form for a sine function is: y = a sin(b[x + c]) + d
The amplitude is given by a, so a = 1.
The period is given by 2*pi/b, so 2*pi/b = pi/2, and b = 4.
The variable c gives the horizontal shift, of which there is none, so c = 0.
Finally, the vertical shift of 3 units means that d = 3.
So the equation is:
y = sin(4x) + 3
The answer will be: 3x-8/(x+2)(x-5)
