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
I divided 18450 divide by 6 I got 3,075
Answer:
6% of the books are non-fiction.
Step-by-step explanation:
Calculate the fraction 180/3000 and then multiply the result by 100%"
180
--------- 0.06. Multiplying this by 100%, we get 6%
3000
6% of the books are non-fiction.
Answer:
2n(14n^2+3)=28n^4+16n I'm not sure if you meant to put the question mark between or not but I did it separately for -80^2=0 n would equal zero hope this helped
Step-by-step explanation:
Answer:
ovlivia makes more per hour than kayle
Step-by-step explanation:
ovlivia makes $8.75 per hour while Kayle makes $8.5 per hour
