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:
x = 8√5
Step-by-step explanation:
for right triangle
c^2 = a^2 + b^2
with c is the hypotenuse; a & b are the other sides
(4 + 16)^2 = (4√5)^2 + x^2
400 = 80 + x^2
x^2 = 320
x^2 = 64(5)
√x^2 = √64(√5)
x = 8√5
Answer:
<h2>2.3 pound costs 45 cents</h2>
Step-by-step explanation:
That point on the graph shows it. $0.45 for the cost, 2.3 for the pounds.
I'm always happy to help :)
27 is the answer, I can explain how I got that if you need.
Answer:
answer is 20............
Step-by-step explanation:
3x=13-19
x= -6/3
x= -2
