Answer: 600
<u>Step-by-step explanation:</u>
20 x 30
= 2 x 10 x 3 x 10
= 2 x 3 x 10 x 10
= 6 x 100
= 600
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:
x = 15
Step-by-step explanation:
We know that 4x° + 8x° make a straight angle of 180°.
4x° + 8x° = 180°
12x° = 180°
12x = 180
x = 180/12 = 15
Answer:
The answer is 3 11/20
Step-by-step explanation:
Subtract whole numbers, 11 - 8 = 3
Then combine fractions 3/4 - 2/10= 11/20
hope this helps! :D
Answer:
32 marbles are red.
Step-by-step explanation:
Think of a quarter, 4 of them equal a dollar.
25 x 4 = 100
So, you will multiply 8 by 4.
8 x 4 = 32