Step-by-step explanation:
1. C = the graphing is slowly increasing, then he walks across the top so it is flat
2. D = it started out slow and gradually got higher, which is what the story said
3. H = he had to stop walking, and there is a part of no movement in the graph H
4.
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>
<span>–1 + 6(–1 – 3x) > –39 – 2x.
</span>-1-6-18x>-39-2x
-7-18x>-39-2x
-18x>-32-2x
-16x>-32
x<2
B. x<2
Answer:
x=7
y=10.5
Step-by-step explanation:
1. You can apply the method of substitution, as you can see below:
- Substitute 
into the other equation and solve fo x:
- Substitute the value of x obtain into the first equation, then the value of y is:
The answers are (-3, -4) and (-5, -4).
