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.
Answer:
y = 460 miles per hr
x = 500 miles per hr
Step-by-step explanation:
Let the planes be X any
Let their speeds be xmiles/hr and ymiles/hr respectively
x = y + 40 (assuming X is faster by 40miles/hr)
Distance travelled by X to meet Y = 0.75x
Distance travelled by Y to meet X = 0.75y
0.75x + 0.75y = 720 --------1
Put x = y + 40 in eqn 1
0.75(y+40) + 0.75y = 720
0.75y + 30 + 0.75y= 720
1.5y = 690
y = 460 miles per hr
x = 460 +40
= 500 miles per hr
Answer:
$24.04
Step-by-step explanation:
3 x $16.99 = $50.97
1 x $24.99 = $24.99
$24.99 + $50.97 = $75.96
$100 - $75.96 = $24.04
Assuming you don't know the exact numbers, we can sequentially figure out the number of inches in a mile and seconds in a day
Inches in a mile:
There are 5280 feet in a mile.
5280*12 = 63360 inches in a mile
Seconds in a day:
There are 24 hours in a day
There are 24*60 = 1440 minutes in a day
There are 1440*60 = 86400 seconds in a day
There are more seconds in a day than inches in a mile.
GCF is the Greatest Common Factor. It would be the largest number that can divide evenly into all the numbers you need to find the GCF in.
exapmple GCF for 12 and 16
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
the largest common number is 4, so 4 is the GCF of 12 & 16
LCM = Least Common Multiple is the smallest number ( other than zero) that is a multiple of both
LCM of 3 and 5
3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20
the first common number is 15, so this is the LCM of 3 & 5
