<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
Answer:
It's 24 packs of cat food
Step-by-step explanation:
You have to think of it as 30% of 80.
30 ?
----- = ----
100 80
Now you have to find out what is in the blank by doing 80 times 30 to find what that equals. That equals 2,400. Now you have to find what times a 100 gets you 2,400. You divide a 100 by 2,400 to get 24. There's your answer
Answer:
1492.885
Step-by-step explanation:
the whole circle has 360° and an area of pi*r² =pi*24²=pi* 576
for 360° and A=pi*576
for 360-63= 297° and A= (297*576*pi) / 360 = 1,492.885 m²
Answer:
help animals and clean up to help animals animals are friends not food
