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:The equation wth x in the information can be written as
1/2 x = 38.5 , Upon solving, the number = 77
Step-by-step explanation:
Let the number Sara was thinking about be x
halving the number to get an answer = 38.5 can be expressed as
1/2 X = 38.5
The equation with x in the information can be written as
1/2 x = 38.5
solving it becomes
1/2 x= 38.5
x = 38.5 x 2
x=77
The number Sara was thinking about = 77
Answer:
f(x) = -3x - 2
F(0)=-2
F(1)= -5
Domain R
Range R
Step-by-step explanation:
4/(x+1) = 3/x + 1/15
Should we make common denominators with everything, we get
4*15*x / [15x(x+1)] = 3*15*(x+1)/[15x(x+1)] + x(x+1)/[15x(x+1)]
Multiply both sides of the equation by the denominator to cancel them
60x = 45(x+1) + x(x+1)
60x = 45x + 45 + x^2 + x
x^2 - 14x + 45 = 0
(x-9)(x-5) = 0
The answer to this question is that the solutions are x=9 and x=5.
The answer is forty four 44