Answer:
Step-by-step explanation:
What you've provided is only a function. What's the complete question?
Answer: x = 3
Step-by-step explanation:
-5 -x = -8
-× = -8 + 5
-x = -3
x = 3
To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
Answer:
21) There is a 0% chance of picking a 13 in a deck of cards. <u>Impossible.</u>
If there is a 0% chance that something will happen then it is impossible.
22) There is a 50% chance of picking a red card in a deck of cards.<u> Equally likely.</u>
If there is a 50% chance that something will happen, it is equally likely that it will happen.
23) There is an 80% chance of snow tomorrow. <u>Likely or certain.</u>
If there is an 80% chance of something happening, it means that the chances of that thing happening good and the event is likely to occur.
24) There is a 20% chance of rain tomorrow. <u>Unlikely.</u>
A low chance of 20% means that something is unlikely to occur.
Find area of the semi circle.
The diameter is, half of that would be the radius, which is 3.
= 14.1
Find the area of the rectangle.
6 * 4 =24
Add the two areas together.
24 + 14.1 = 38.1
