Answer:
If the 2 numbers are the same, it will be zero. If the positive number is larger than the negative number, the sum will be positive. If the negative number is larger than the positive number, then the sum will be a negative number.
Step-by-step explanation:
<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.
Hey Kid!
Given:Length 14 cmWidth 7 cmHeigth 1.66 cm
Lateral area = 2lh + 2wh LA = 2(14cm)(1.66cm) + 2(7cm)(1.66cm) LA = 46.48 cm² + 23.24 cm² LA = 69.72 cm²
Surface area = 2(wl + hl + hw) SA = 2(7cm*14cm) + 2(1.66cm*14cm) + 2(1.66cm*7cm)SA = 196 cm² + 46.48 cm² + 23.24 cm²SA = 265.72 cm²
Hope this helps!
~Nadia~
Answer:
-9 and 15
Step-by-step explanation:
3 - 12 = -9
3 + 12 = 15
I hope I could help!
