Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
, will shift 
right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, :
g(x) = (x-3)³ is the transformed function.
From the graph,
- The Red graph indicates the parent function i.e. f(x) = x³
- The Blue graph indicates the transformed function i.e. g(x) = (x-3)³
It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
David purchased some cookies at the cost of
5 for $4 (5/4=1.25) and
sold them at 4 for $5(4/5=0.80).
To find cost per cookie subtract 1.25-0.80=0.45
David made a profit of $180 in total ( divide profit per cookie cost: 180/0.45= 400)
How many cookies did David purchase to make that much money?
He needed to make 400 cookie to make the profit of $180.
Answer:
It takes the Dolphin 2 hours for swimming 40 miles. The penguin takes 8 hours and the swordfish will take 2/3 of an hour, which is 40 minutes to travel 40 miles.
Step-by-step explanation:
Given :
The bottlenose dolphin travels 40 miles in 2 hours. Or it takes 20 miles in 1 hour.
Now, dividing the distance by unit rate given in the question:
40/20=2 hours
40/5=8 hours
40÷60= 2/3 hour
Therefore,
- the dolphin takes 2 hours for swimming 40 miles.
- the penguin takes 8 hours
- the swordfish takes 2/3 rd of an hour
Answer:
here's the answer to your question!
Step-by-step explanation:
Work shown in the attachment,
Refer to the attachment!
