Answer:
The correct option is 4.
Step-by-step explanation:
The given function is
Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.
Factorize the given function.
Put f(x)=0 to find the x intercepts.
Equate each factor equal to 0.
Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.
Therefore the reasonable domain is and option 4 is correct.
6÷40.5= $6.75 per hour
8÷54= $6.75 per hour
y= 6.75x
Step-by-step explanation:
Find w
V = lwh
V ÷ lh = w
V/lh = w
w = V/lh
Option → C
Answer:
8 minutes
Step-by-step explanation:
Since the level of the tank needs to be at two-thirds its original level, then this means that Andrew needs to drain only one-third of the fish tank. Therefore the amount of time it would take can easily be solved with this 2-step equation...
6t = 144 * 
.... first multiply the right side of the equation
6t = 48 ... next divide both sides by 6
t = 8
Finally, we can see that it will take Andrew 8 minutes to drain the tank to two-thirds of its original level.
Answer:
A. (14,20)
Step-by-step explanation:
The inverse relation is found by swapping x and y in the ordered pair.
When ...
14 = f^-1(20)
then ...
20 = f(14)
The corresponding ordered pair is (14, 20).
