Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that

to find the critical points you equal the first derivative to 0 and get that

To find if they are maximums or local minimums you use the second derivative.

since
is neither an inflection point, and since
then 1/4 is a maximum.
Answer:
answer is:

Step-by-step explanation:
we are asked to find which system of equations can we use to find the roots of the equation:

since the system of equation in last part is given as:

so, on equating both the equations i.e. on equating both the values of 'y' we get the desired equation as:
.
Answer:
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<h3><u>-----------------------</u></h3><h3><u>hope it helps..</u></h3><h3><u>have a great day!!</u></h3>
Answer:
The solution set is: x>36
Step-by-step explanation:
We are given that we have to subtract 3 times of some number 'x' from 18 such that the resulting equation is less than -90.
this means that : 18-3x<-90
on solving the inequality by adding 3x on both side and adding 90 on both side we get that
108<3x
now on dividing both side by 3 we get that
x>36
Hence our solution set is: x>36
From 8.30 pm to 12 : 00
Difference = 12 : 00 - 08:30 = 3 : 30
3 hours 30 minutes = 3.5 hours.
Total for those hours = 3.5 * 1000 = $3500
From 12:00 to 1:00 am = 1 hour.
50% increase = 50% of 1000 = .50 * 1000 = 500
So it will increase to 1000 + 500 = $1500 per hour.
For the 1 hour extra, 1 * 1500 = $1500
Total = $3500 + $1500 = $5000
She will be paid $5000