Madeline was completing the square and her work is shown below. Identify the line where she made her mistake.. . f(x) = 3x^2 + 6
2 answers:
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Answer:
The function is
The graph is attached.
Step-by-step explanation:
We have a function g(x) and we need to graph a new function that is function of g(x).
The final function is
We start by calculating g(x-2):
Then, we can calculate f(x) as:
Answer:
The greatest prime factor of k is 11.
Step-by-step explanation:
∵ LCM( 2, 15) = 30,
Thus, the even multiple of 15 must be multiple of 30,
That is, the even multiple of 15 between 295 and 615 are
300, 330, 360,..........600
Which is an AP,
Having first term, a = 300,
Common difference, d = 30,
If n be the number terms,
Last term =
Hence, the sum of the all even multiple of 15 from 295 to 615,
According to the question,
⇒ k = 11 × 450 = 11 × 5 × 5 × 3 × 3 × 2
Hence, the greatest prime factor of k is 11.