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:
Al final, Eduardo tenía 20 dulces.
Step-by-step explanation:
Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:
Eduardo 1X = Adrián 1X
Eduardo 0.5X = Adrián 1.5X
Eduardo 1.25X = Adrián 0.75X
0.75 X = 12
X = 12 / 0.75
X = 16
1.25 X = 16 x 1.25 = 20
Así, al final, Eduardo tenía 20 dulces.
Answer:312cm. Squared I think
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
that is the definition of dilation
Answer: Hello daema, let's let x be the goal and c be the collection per day.
x - 45 + c = x + 5 is the answer so now let's talk about how we did that.
So she wants to get to x which is the goal. But right now she has 45 less than what her goal is. So that would look like this x - 45 now she has to get c or the collection per day to get to her goal. So now it looks like this x - 45 + c. Now that c has to be at least x which is her goal, it now will look like this x - 45 + c = x. But we're not done, the question said that now she 5$ over her goal, or x. So we have to add the + 5 onto the end so now it looks like this x - 45 + c = x + 5. To solve the equation "if you have to" it would be x = 50$ per day.
