Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
Number of apples in pounds picked up by Keira = K
Number of apples in pounds picked up by Larry = L
Number of apples in pounds picked up by Gita = G
Total number of apples they picked all together in pounds = 8360
Now from the given question, we know
Number of apples picked up by Kiera = 2L
So
K = 2L
L = K/2
Again Kiera picked up 3 times as many apples as Gita picked.
So,
K = 3G
G = K/3
Now if we add all the apples in pounds picked up by the three of them.
Then
K + L + G = 8360
K + (K/2) + K/3) = 8360
(6K + 3K + 2K)/6 = 8360
11K/6 = 8360
11K = 8360 * 6
11K = 50160
K = 4560
Then
L = K/2
= 4560/2
= 2280
G = K/3
= 4560/3
= 1520
Now we can say that
Kiera picked 4560 pounds of apple
Larry picked 2280 pounds of apple
Gita picked 1520 pounds of apple
1+1 = 2 that is the answer
Answer: Responding for points
Step-by-step explanation:
Answer:
583 rounded to the nearest whole number
Step-by-step explanation:
other wise 583.3333333333333333333333333333
