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:
A
Step-by-step explanation:
firstly you have to find the rate of change of the various price index in percentage.
A, From 106 to 112:
we find the difference 112-106 = 6
then the rate of change = 6/106 * 100 = 5.66%.
B ,From 112 to 118:
we find the difference 118-112 = 6
then the rate of change = 6/118 * 100 = 5.36%.
C ,From 118 to 124:
we find the difference 124-118 = 6
then the rate of change = 6/124 * 100 = 5.08%.
we can see that the price index with the greatest percentage is A.
167 + 19 = 186x
186x + 16 = 1132
subtract 16 from both sides
186x = 1116
divide by 186 on both sides
x = 6
they bought 6 tickets total
Hello there! The formula for finding the area of a circle is π * r². The radius is 1/2 of the diameter. The diameter is 92 meters ½ of 92 is 46. So we will raise 46 to the second power. 46² is 2,116. Now, let's multiply that by 3.14 to ffind the area of the circle. 2,116 * 3.14 is 6,644.24. There. The area of the ice skating rink is 6,644.24 square feet.
(2) (2+5) = 14
2•2= 4
2•5= 10
4+10= 14
