I believe it is this one. Good luck on your test!
Answer:
The average rate of change is -2
Step-by-step explanation:
we know that
To find out the average rate of change, we divide the change in the output value by the change in the input value.
In a linear function the average rate of change is a constant and is equal to the slope of the function
The linear function in slope intercept form is equal to

where
m is the slope or unit rate of the linear function
b is the y-intercept or initial value of the linear function
In this problem we have

so

therefore
The average rate of change is -2
The interior angles in any triangle sum to 180 degrees, so the measure of angle E is 180 - 65 - 50 = 65 degrees.
Assuming side d is opposite angle D, side e is opposite angle E, and side f is opposite angle F, we can use the law of sines to determine the side lengths e and f.


Angles E and F have the same measure, so
as well.
Answer:
right by 3 I think
Step-by-step explanation:
This question is based on combinations
Out of 7 appetizers, 4 are to be selected, this becomes = 7C4
Out of 3 main courses, 2 are to be selected , this is = 3C2
Out of 5 desserts, 4 are to be selected, this is = 5C4
So, total ways become =
7C4 * 3C2 * 5C4
7!/4!(7-4)! * 3!/2!(3-2)! * 5!/4!(5-4)!
= 35*3*5 =525 ways
Hence, this can be done in 525 ways.