The mode of this set of data is 12
Number of students selected from University A:
f(x)=4x+5
Number of students selected from University B:
g(x)=2x+8
So total number of students selected from both universities:
h(x)= f(x)+g(x)
Put values
h(x)=4x+5+2x+8
h(x)=6x+13
Option D is correct.
"Rate of change" is another name for "slope".
In the table, every time 'x' increases by 2, 'y' also increases by 2.
So the rate of change (slope) of the function in the table is
(change in 'y') / (change in 'x') = 2/2 = 1 .
The rate of change (slope) in the function y = x + 4 is
the coefficient (number before) the 'x'. That's also ' 1 '.
So t<span>he rate of change in the function y = x + 4 is the same as (equal to)
the rate of change of the function represented in the table.</span>
An angle added with it's supplement is 180.
Knowing this: 180 - 13 = 167
It's supplement is 167