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:
Zero Solutions
Step-by-step explanation:
3x+3-5=3x-2
3x-3x= -2+5
0= 3
0 does not equal 3, so zero solutions.
Answer:
1530cm
Step-by-step explanation:
First figure (9x10)x9=810
Second figure (18x10)x4=720
720+810=1530
Answer:
Which graph's shaded region represents the possible combinations of coffee and tea for this order?