Step-by-step explanation:
part A
all listed features (A - F) are correct and to be selected.
part B
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so,
(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1
The existence proof of the empty set is an absolute gem
Answer:
84%
Step-by-step explanation:
The percentage of pink shirts
= 9/200 × 100%
= 9/2
= 4.5%
The percentage of orange shirts
= 69/600 × 100%
= 69/6
= 11.5%
The percentage of the shirts which are not pink or orange
= 1 - 4.5% - 11.5%
= 84%
<u>Alternative</u>
Find their common denominator.
9/200
= 9×3 / 200×3
= 27/600
The total percentage of shirts in pink and orange
= (27/600 + 69/600) × 100%
= 96/600 × 100%
= 16%
The percentage of the shirts which are not pink or orange
= 1 - 16%
= 84%
To find the m(slope) of our graph we can take two points from the graph, im going to use (0,2) and (1,8) the formula for slope is y2-y1/x2-x1
Plug the points in to get 8-2/1-0
The slope of this equation is 6.
For the y-intercept we just find where the line meets the y-axis and that is at 2.
The equation for this graph is y=6x+2
An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below
<h3>
How to interpret trigonometric functions in transformations?</h3>
An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3
This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.
Another way to look at it is by;
Let us use the function f(x) = sin x.
Thus, the new function would be written as;
g(x) = sin (x - π/2), and this gives us;
g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x
This will make a graph by shifting the graph of sin x π/2 units to the right side.
Now, shifting the graph of sin xπ/2 units to the left gives;
h(x) = sin (x + π/2/2)
Read more about Trigonometric Functions at; brainly.com/question/4437914
#SPJ1
