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>
Let A= the sky is red at night
let B= the weather will be nice the next day
Since this is based on Conditional Probability,
P(B|A)
This is read: The probability that the weather iss nice the next day GIVEN the sky is red at night.
Let (1/3)x + 2 = (4/3)x-5
-> x + 21 = 4x
-> 3x = 21
->x = 7
So y = 7/3+2 = 13/3
Answer is (7, 13/3)
Answer:
1. 3mg
2. 3050g
3. 0.025g
4. 5700mg
5. 0.294g
6. 32mg
7. 13700mg
8. 2.441kg
9. 8.24g
10. 0.075kg
11. 430g
12. 0.721g
Step-by-step explanation:
This should be right :)
Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis
Step-by-step explanation:
