Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Answer:
Step-by-step explanation:
<u>Find the reciprocal of 1/40:</u>
<u>That's really it.</u>
Your answer is 40 (D).
Answer:
1/6
Step-by-step explanation:
out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances
Answer:
900
Step-by-step explanation:
V=πr2h
3.14 x 11= 34.54
34.54 x 2= 69.08
69.08x 13= 898.04
898.04 rounded to nearest hundreth is 900
