The quadraticequation is 4x² - 20x - 24 = 0 whose roots are-1 and 6.
The quadratic equation is defined as a function containing the highest power of a variable is two.
The roots are given in the question, as follows:
-1 and 6
As we know that the standard quadratic equation ax² + b x + c = 0.
Since the leading coefficient of the quadratic equation is 4
So, a = 4
The sum of roots = -b/a
-1 + 6 = -b/4
5 = -b/4
b = -20
The multiplication of roots = c/a
-1 × 6 = c/4
c = -24
So, the quadratic equation is 4x² - 20x - 24 = 0.
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You've got a=4
-b/a=sum=-1+6=5 so b=-20
c/a=product=-1*6=-6 so c=-6
Final equation:
Answer:
0.05 mile per minutes
Step-by-step explanation:
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered
Miles covered = 1 mile
Time covered = 20 minutes
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)
= 1 mile / 20 minutes
= 0.05 mile per minutes
20 minutes
= 20 × 60 seconds
= 1200 seconds
Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)
= 1 mile / 1200 seconds
= 0.0008333333333 miles per seconds
Approximately 0.000833 miles per seconds
Answer:
A
Step-by-step explanation: