Step-by-step explanation:
Take the first derivative
Set the derivative equal to 0.
or
For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function
So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function
So the local min occurs at -2, at x=1
Answer:
x = 6
Step-by-step explanation:
The scale factor is
28/8 = 7/2
We take the ratio of the larger side over the smaller side
Using ratios we can find the sides
28 21
----- = ---------
8 x
Using cross products
28x = 21*8
28x =168
Divide each side by 28
28x/28 = 168/28
x =6
Answer:
20
Step-by-step explanation:
I took the test yesterday and today and tomorrow and I will be there in the
4 gallons of water is needed to dilute to a concentration of 10%.
<u>Step-by-step explanation:</u>
It is given that,
The 5 gallons of water contains 18% of acid solution.
Now, we are asked to find the gallons of water needed to dilute it to a concentration of 10% acid solution.
We obtain the equation by stating that the amount of acid 10% in the water must dilute up to 18%.
For this, x amount of water should be added.
Therefore, the equation is framed as,
⇒ 0.1 (x+5) = 5 (0.18)
⇒ 0.1x + 0.5 = 0.9
⇒ 0.1x = 0.9 - 0.5
⇒ x = 0.4 / 0.1
⇒ x = 4
∴ 4 gallons of water is needed to dilute to a concentration of 10%.
400x to the power of 2 + 480x + 144
