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:
D. 75x+160<760
Step-by-step explanation:
The reason is 75 has to be a variable because it changes with time. The fee is a fixed rate that will not change no matter the time. All of these values must be less than 760 meaning the variable and constant must be less than (<) 760
Answer:
Step-by-step explanation:
translated 8 units to the right and 2 units up then flipped
Answer:
22 people saw an horror movie
Step-by-step explanation:
Total people who attended the Sunday matinee = 48
People who saw romantic comedy = 3/8 of 48
= 3/8 × 48
= (3*48) / 8
= 144 / 8
= 18 people
People who saw action movie = 1/6 of 48
= 1/6 × 48
= 48/6
= 8 people
People who saw horror movie = x
Total people who attended the Sunday matinee = People who saw romantic comedy + People who saw action movie + People who saw horror movie
48 = 18 + 8 + x
48 = 26 + x
Subtract 26 from both sides
48 - 26 = 26 - 26 + x
22 = x
x = 22 people
22 people saw an horror movie
