If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
Answer:
3 =n
Step-by-step explanation:
-3 +3(n+8)= 2(1 + 6n) - 8
Distribute
-3 +3n +24 = 2 +12n -8
Combine like terms
21+3n = 12n -6
Subtract 3n from each side
21+3n-3n = 12n-3n -6
21 = 9n -6
Add 6 to each side
21+6 = 9n-6+6
27 = 9n
Divide each side by 9
27/9 = 9n/9
27/9 =n
Divide the top and bottom by 3
3 =n
Answer:
40 oz of sugar
Step-by-step explanation:
1) you have the basic measurement for 36 fluid ounces of lemonade, now imagine how many time can 36 go into 180 in order to find how many sugar oz you will need
180/36= 3
This mean 180 is 5 times as much lemonade and you will need 5 times as much sugar.
8ounces of sugar x 5 = 40ounces of sugar to make 180fluid ounces of lemonade
Your answer would be 3000000
Answer:
positive
Step-by-step explanation:
if x is positive then for all values 5x^3 which is always>-2x will be positive and therefore answer always positive
if x is negative then 5x^3 will always be positive and -2(X) will cancel the two minuses -- and will add therefore positive
