Answer:
B
Step-by-step explanation:
The red graph is a horizontal translation of 5 units left followed by a reflection in the x- axis.
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
The black graph is shifted 5 units left, thus
f(x) → f(x + 5)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note that the y- coordinate of the image is the negative of the original
Note also that
= - y, thus
= f(x + 5) → B
Answer:
Seth saved $90.
Step-by-step explanation:
1.Find out how much would be spent without buying the movie pass.
Multiply the amount of money that one would spend for each movie, by the number of movies one saw.
8 * 30 = 240
2.Find out the amount that was actually spent
Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.
(4 * 30) + 30
= 120 + 30
= 150
3. Find the difference between the two values.
Subtract the amount that one was supposed to spend by the amount one did spend.
240 - 150
= 90
2 ones are equal to 0 tens
Question: <span>If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n)?
Answer: Parabola
HOPE THIS HELPS! ^_^</span>
Answer:

Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

So, the average rate of change of:

Over the interval 
Is:


Therefore, the average rate of change of this function over that interval is 3.