Answer:
13x+16
Step-by-step explanation:
3x+7+8x+2x+4+5
13x+7+4+5
13x+16
Step-by-step explanation:
it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.
<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:
see explanation
Step-by-step explanation:
If y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k divide both sides by x
k = 
This value must be constant for all ordered pairs, thus
k =
= 
k =
= 
k =
= 
k = 
Since k is constant for all ordered pairs then y is proportional to x
Answer:
13) 10b^2a^4
14) -5y^3+35y^2-10y