Twelve men take 6 hours to finish a piece of work.
In 1 hour, the 12 men will finish 1/6 of the work
( 1 job ) / ( 6 hrs ) = ( 1/6 of a job ) / ( 1 hr )
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That means there is of the job
left to do.
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If 12 men take 6 hours to finish a piece of work,
1 man will take 12 times as long, to finish the work, so
( 1 job ) / ( 6*12 = 72 hrs ) = rate of working for 1 man, or
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After 1 hour, there are a total of men working
20 men will work 20 times as fast as 1 man on the
of a job that remains, so
Let = hours for the 20 men to finish the job
Quadratic function ( in standard form ):
y = a x² + b x + c
x = 0:
635 = 0 + 0 + c
c = 635
x = 1:
644 = a + b + 635
a + b = 9
x = 2:
719 = 4 a + 2 b + 635
4 a + 2 b = 84
and now we have a system:
a + b = 9 / * ( - 2 )
4 a + 2 b = 84
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- 2 a + 2 b = - 18
+
4 a + 2 b = 84
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2 a = 66
a = 33; b = - 24;
Function is:
f ( x ) = 33 x² - 24 x + 635
f ( 8 ) = 33 * 64 - 24 * 8 + 635 = 2,112 - 192 + 635 = 2,555
Answer: The number of waterfowl on week 8 would be 2,555.
Yes, the area of the garden is greater than 1000 sq. ft.
132 = total perimeter
A square has 4 sides
132/4 = 33
A= LxW
A= 33 x 33
A= 1089 sq. ft.
Answer: It would be the first equation because:
Step-by-step explanation:
In order to be an exponential function, the X
variable has to be in the exponent, that eliminates
the second and fourth answers
f(X) = 4(3)X
using the point (2,36)
f(2) = 4 (3)2
= 4 (9 )
= 36
Answer:
the answer is 56
Step-by-step explanation:
