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 
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Answer:

Step-by-step explanation:
The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).
Thus, gradient of given equation= -⅔
The products of the gradient of perpendicular lines is -1.
(Gradient of line)(-⅔)= -1
Gradient of line

Hence, m=
.
Subst. m=
into the equation:

To find the value of c, substitute a pair of coordinates into the equation:
When x= -4, y= 2,

Thus, the equation of the line is
.
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Answer:
Cardinal Numbers
The cardinality of a group represents the number of objects available in that group.
The number of elements or members in a set is the cardinal number of that set. ...
For example, set A = {1, 3, 6, 9, 10, 12, 18}, the cardinal number of set A is 7.
Step-by-step explanation:
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