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:
The mode of the data set is 4.
Step-by-step explanation:
Hey there!
The <u>mode</u> of a data set is the most commonly occurring data value in that set.
To begin, we need to organize the data set in <u>increasing order</u>:
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Then, we can tally the <u>frequency</u> of each data value occurring in the data set:
1 - II
2 - I
3 - I
4 - III
6 - II
10 - I
We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.
Learn more about <u>mode</u> here: brainly.com/question/11163338
Answer:
%18 tip
Step-by-step explanation:
The dinner cost was $29 before tip
after tip it was $32.22
34.22-29= $5.22 she tipped
$29 * %x = $5.22
After solving this equation, the x is %18
Answer: A. 9567m
i hope i'm correct let me know if i'm wrong
