Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Answer:
Step-by-step explanation: i cant help if you dont give the question:)
I can answer without knowing how many coins you are tossing
Answer:
5
Step-by-step explanation:
total sum of the 6 numbers
= 4 ×6
= 24
sum of numbers without the two 2s
= 24 - 2(2)
= 20
average of other 4 numbers
= 20 ÷ 4
= 5
