Answer: -29.3
Step-by-step explanation: -7y + 2x
-7(-6.3) + 2(-7.4) = -29.3
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:
y = 4
since you cant have y = 0x + 4, you drop the x and have a straight line (slope of 0) that runs all along the y point of 4.
10xt=190
T represents the amount of trips and 10 represents the amount of money she spends each trip. Since she has $190 already it will be on the other side of the equation after the equal sign