Answer:
Step-by-step explanation:
N
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
Well... if she has 8 yards, and a yard equals to 18 inches. So.. I would divide 8 and 1/4. After you do the reciprocal, you would get 32 pieces.
Answer:
You add the numerators so 5 + 5 is 10. So its 10/9. We only added the numerators because the denominators were the same. So then 10/9 simplified by minusing 9 from ten because ten is the denominator the answer is:
1 1/9
Step-by-step explanation:
