Part A. Notice that

,

,

, and

. If we let

represent the number that is being cubed and

the result of that operation, we can create the function

whose domain and range are the set of all real numbers.
We can conclude that the table represent the cube function

.
Part B. To find the value of

, we just need to evaluate the total cost function

at

; in other word, we are going to replace

with 6 in the function:




Since

represent the number of days you are going to rent a car, it

represent the cost of renting a car for 6 days.
We can conclude that the value of

is $180, and it represent the cost of renting a car for 6 days.
Answer:
2. is x = -3
Step-by-step explanation:
-3( x - 3) = 12
multiply the things in the () by -3
-3x+9=12
subtract 9 from both sides
-3x+9-9=12-9
-3x=3
divide both sides of the equation by -3
x = -3
For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft
40/50 is the ratio because the cos formula is adjacent over hypotenuse and you can reduce it to 4/5 as a fraction :)