<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:
the distance is 10
Step-by-step explanation:
-5,2 to 0,0 is 5
and the refection of -5,2 is 5,2
5,2 to 0,0. is also 5
5+5=10
Answer:
28pounds
Step-by-step explanation:
0.45=1pound
12.6
12.6/0.45=28pounds
Answer:
b.
Step-by-step explanation:
rise step-chickens!!!!
Answer:
9
gallons of water
Step-by-step explanation:
To find how many gallons of water go down each minute, divide the total number of gallons of water by the number of minutes it takes to drain:
70/7.5
= 9
So, 9 gallons of water go down the drain each minute
