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.
Answer:
1. 7x
2. 8x - 1
3. 6x + 12
4. 3x + 4
5. 13x - 7
Step-by-Step Explanation:
Hope this helps!
D- 1.65 per hot dog
Take the amount of the bag of chips which is 1.25 and multiply it by 5 because that’s how many people there are and they each bought one bag
1.25 x 5= 6.25
Next you want to subtract that amount from the total so we can just have the amount of money spent on hot dogs
22.27-6.25=16.50
Then you want to divide 16.50 by 5 because they all bought the same amount of hot dogs and this will get us to the amount of to hot dogs
16.50/5=3.30
Finally you want to divide 3.30 by 2 which will get us the price for 1 hot dog
3.30/2=1.65
There you go!!
