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]
0.106 is the answer
letters till 20 characters
Answer:
300 burgers
Step-by-step explanation:
You can set up an equation like this: 50+0.05x=20+0.15x
Then, subtract 0.05x from both sides: 50=20+0.10x
Subtract 20 from both sides: 30=0.10x
Divide by .10 on both sides: 300=x
X represents how many burgers must be sold for the boys to have earned the same amount of money, and that is 300 burgers.
570 is the answer. since 1000 has 3 zeroes on the end of it, you take the decimal point and move it 3 spots to the right.
p(the person does not use any facility)= 59/130
