Answer:
Option A is correct.
Step-by-step explanation:
We are given:

We need to find the value of a.
The LCM of (2+i) and (3+i) is (2+i)(3+i)

Now rationalize the denominator by multiplying by 5-5i/5-5i

We are given

Now after solving we have:

So value of a = 1/10 and value of b = -1/10
So, Option A is correct.
Answer:
he can only serve 2
Step-by-step explanation: since 3.5 plus 3.5 is 7.0 if you add one more it turns to 7.0 plus 3.5 10.5 so the greatest he can serve is two people
From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
Each pound costs $1.19 .
So 15 pounds cost
(15) x ($1.19) = $17.85 .