Solve this quadratic word problem
1 answer:
A First, solve the equation
Solving will give:
5 and 1, the largest number is 5, so after 5 seconds it reaches 80 feet for the second time.
B Solve the equation
Solving gives:
t = 0 and t = 6, since it cannot hit the ground within 0 seconds, your awnser is: after 6 seconds it will hit the ground.
C Find the maximum.
Use
to find the time in seconds.
This gives: t = 3
Filling in t = 3 gives: 144 feet.
The max. height is 144 ft.
Solving will give:
5 and 1, the largest number is 5, so after 5 seconds it reaches 80 feet for the second time.
B Solve the equation
Solving gives:
t = 0 and t = 6, since it cannot hit the ground within 0 seconds, your awnser is: after 6 seconds it will hit the ground.
C Find the maximum.
Use
This gives: t = 3
Filling in t = 3 gives: 144 feet.
The max. height is 144 ft.
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Answer with Step-by-step explanation:
Let Z be a set of integers
We have to prove that is odd for all value of x
Z.
There are two cases
1.When x is an odd integer number
2.when x is even integer number
1.When x is an odd integer number
When x is positive odd integer
Then is positive odd number (because square of odd positive number is always positive an odd number )
5x is also odd number
-5x -1 = -even number
Suppose x=3
Then -15-1=-16
Odd number - even number=Odd number
Hence , is an odd number .
When x is negative odd number
Then x square is positive odd number and 5x is negative odd term term
Therefore,odd number + odd number -1=Even number -1=Odd number
Hence is an odd number.
2.When x is an even number
When x is positive even number
x square is positive even number and 5x is positive even number
Even number -Even number -1 =Even number -odd number =Odd number
Suppose x=4
=16-20-1=-5=Odd number
When x is negative even number
Then x square is positive even number and 5x is negative even number
=Even number +Even number -1=Even number -1=Odd number
Hence, for all elements of Zis odd.