Answer:
2.025
Step-by-step explanation:
In this problem, you don't necessarily need to find the exact values of a and b. Rather, find the value of (a+b) first, and then you can substitute it into the next equation. First, you can divide both sides of the first equation 2(a+b)= -8.1 by 2, to get (a+b)=-4.05. Now, subsitute the value of (a+b) into the second equation, -0.5(a+b), to get -0.5(-4.05). From here, you can calculate that -0.5 times -4.05 is 2.025. Hope this helped!
Answer:
My assumption of the probability would be..
Step-by-step explanation:
1/2
1/3 or less
1/5 or more
1/8
Because if your looking for probability, Its asking for the chance that it will be able to roll in a certain number so you have a 1/2 of it landing on one or the other side if it's a 2 sided coin or a 1/3 if you have a 3 sided triangle shaped dice.
For

to be continuous at

, you need to have the limit from either side as

to be the same.


If

and

, then the limit from the right would be

, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation

.
Part (c) is done similarly to part (1). This time, you need to limits from either side as

to match. You have


So,

and

have to satisfy the relation

, or

.
Part (4) is done by solving the system of equations above for

and

. I'll leave that to you, as well as part (5) since that's just drawing your findings.
Answer:
A. choosing a sock from a drawer, putting it on, then picking another sock from the drawer