Answer:
11x5 is 55
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.
Answer:
As the described function, we want to find vertical asymtotes, we find the value of x so that the denominator is equal to 0.
Here, (x - 2)(x + 6) = 0
=> x = 2, x =-6
=> Option C is correct.
Hope this helps!
:)
Answer:
44 degrees
Step-by-step explanation:
Since they are supplementary, they add up to 180. This means that
3x - 6 + 54 = 180
Solving,
3x + 48 = 180
subtract 48 from both sides
3x = 132
divide both sides by 3
x = 44 degrees
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if y=Mc
