Answer: v = - 9
Step-by-step explanation:
Since two points on the line are given, we use formula for slope.
Let (a,b) and (c,d) be two points on the line, the slope of the line is given by
m=
.
Hence, using this we have
-4=
Thus, we have
-4×(-3)=3-v⇒12=3-v⇒12-3=-v⇒v=-9
<u>Given:</u>
A triangle with a base length of 22 ft and a height of 20 ft.
<u>To find:</u>
The area of the given triangle.
<u>Solution:</u>
The area of a triangle is obtained by multiplying
with its base length and its height.
The area of a triangle 
The height is the distance from the base to the highest point on the triangle and the length of the base is the base length.
The given triangle has a base length of 22 ft and a height of 20 ft.
The area of the triangle 
ft².
The given triangle has an area of 220 ft².
1. m<13
2. y>2
3. p>-3
I don't know the answers for the last two
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.
The table is an exponential function, and the equation that represents this function is 
<h3>The equation of the table</h3>
The table is given as:
x F(x)
4 15
5 31
7 127
8 255
Rewrite the table as:
x F(x)
4 16 - 1
5 32 - 1
7 128 - 1
8 256 - 1
Express as a base of 2
x F(x)
4 2⁴ - 1
5 2⁵- 1
7 2⁷ - 1
8 2⁸ - 1
Notice that the function is 1 subtracted from 2 raised to the power of the input.
This is represented as:

Hence, the equation of the table is 
Read more about exponential functions at
brainly.com/question/9608962
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