The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.
The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100
Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553
<em>The maximum value of the function is 0.2553.</em>
Answer:
(-3,-2)
Step-by-step explanation:
2x-5y=4
3x-7y=5
solve the equation
x=2+5/2y
3x-7y=5
substitute the value of x into an equation
3(2+5/2y)-7y=5
multiply 3 to 2. and. 3 to 5/2y
6+15/2y-7y=5
minus 6 to 5 and. add 15/2y to -7y
-1/2y=1
divide both sides by -1/2
y= -2
substitute the value of -2 into an equation
x=2+5/2•(-2)
multiply 5/2 to -2
x=2+-5
add but since 5 is negative then subtract the numbers
x= -3
combine y= -2 and x= -3 as a point
So the answer is (-3,-2)
Answer:
12 by 14 ft.
Step-by-step explanation:
Multiply the scale drawing's dimensions by 5. (Feet)
