By definition, we have that the average rate of change is given by:

Substituting values we have:

Rewriting we have:



Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.
Answer:
graph shows a rate of change of 1/2 is the linear function
Answer:
F. x = 7
Step-by-step explanation:
there are 10 boxes on the right and it is equal to the side on the left, so you just subtract 10 and 3 to get 7.
Answer:
y = 1 m = -3 b = 1
Step-by-step explanation:
y = mx + b y = -3x + 1
y = 1
m = -3
b = 1
Answer:
Se explanation
Step-by-step explanation:
The diagram shows the circle with center Q. In this circle, angle XAY is inscribed angle subtended on the arc XY. Angle XQY is the central angle subtended on the same arc XY.
The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle. Therefore,

The measure of the intercepted arc XY is the measure of the central angle XQY and is equal to 144°.
All angles that have the same endpoints X and Y and vertex lying in the middle of the quadrilateral XAYQ have measures satisfying the condition

because angle XAY is the smallest possible angle subtended on the arc XY in the circle and angle XQY is the largest possible angle in the circle subtended on the arc XY.
Answer:
The host can only prepare 7 plates
Step-by-step explanation:
7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)