Answer:
9 correct
Step-by-step explanation: 60% of 15 = 9
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Answer:
greater than because positive times negative equals positive
23. J
7,220 kids drink zero.
14,060 kids drink one
5,700 kids drink two
(multiply the total amount of kids by the percent (convert percent to decimal))
When added together, you get 26,980.
24. C
5,700 kids drink two
2,660 kids drink three
1,140 kids drink four
7,220 kids drink five or more
When added together, you get 16,720 kids.
Next set up a proportion.
38,000 total 30 total kids
------------------ = --------------------
16,720 kids x
For 38,000 to get to 30, you have to divide 38,000 by 1,266.67.
This means that you also have to divide 16,720 by 1,266.67.
This gets you 13.
