Answer:
r(s(-2)) = -2
Step-by-step explanation:
We are given these following functions:


Find the value of r(s (-2)).
First we find the composition of r and s functions. It is:

At x = -2

r(s(-2)) = -2
% is a number over 100, so 40% is 40/100, which is 0.40.
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

A line placed in slope-intercept form is represented by the formula
. The
, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula
and substitute values for
,
, and
. Since
represents the slope of the line, substitute 2 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

So, option D is correct.
Answer:
(x + 2, y - 4 )
Step-by-step explanation:
Consider the shift of coordinate point A (- 6, 2 ) → A'(- 4, - 2 )
This represents a shift of + 2 units in the x- direction and
a shift of - 4 units in the y- direction, thus
(x, y ) → (x + 2, y - 4 )
= -3/2 x -21/4
= 63/8
=7.875