The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
The probability that the number chosen is divisible by 5 is; 1/5.
<h3>
What is the probability that the number chosen is divisible by 5?</h3>
It follows from the task content that the number of possible outcomes in the probability event is; 100. Additionally, the number of required outcomes is 20 as only 20 numbers are divisible by 5.
Ultimately, the required probability is; 20/100 = 1/5.
Read more on probability;
brainly.com/question/7965468
$SPJ1
If you want to solve for x you have to get x alone on one side of the equals sign. In order to do that you have to get rid of the stuff on the same side by doing the opposite operation so that it cancels. What you do on one side you do on. the other side to keep the equation true.
y= abx
a and b are being multiplied by x so divide by ab to cancel them out (ab/ab is 1).
y= abx/ab (ab cancels)
now divide the other side by ab to keep the equation true.
y/ab= x
Answer:
Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate
10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two
cars?
Step-by-step explanation:
the answer is in the question
