Answer
Step-by-step explanation:
227.49 x 1.09 = 247.96
It’s 10.5 I’m pretty sure
Factors of 26: <u>1</u>, <u>2,</u> 13, 26 (1 × 26, 2 × 13)
Factors of 42: <u>1</u>, <u>2</u>, 3, 6, 7, 14, 21, 42 (1 × 42, 2 × 21, 3 × 14, 6 × 7)
The greatest common factor they have is 2
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
