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Montano1993 [528]
3 years ago
14

Given that f(x) =3x^2 - 6x + 11 ,find the values of a,b and c for which f(x) = a(x - b)^2 + c

Mathematics
1 answer:
V125BC [204]3 years ago
3 0
First you have to complete the square. The first step would be 3x^2-6x=-11. Then you divide -6 by 2 and square the number you get. 3x^2-6x+9=-11+9. 3x^2-6x+9=-2. Factor out the three to get 3(x^2-2x+3)=-2. You can't factor what is in the parenthesis. You should then add two to each side. 3(x^2-2x+3)+2.A = 3B= I don't knowC = 2
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Btw John makes 9$ an hour and amber makes 8$ an hour. REMEMBER TO ANSWER IN MINUTES NOT HOURS.
yarga [219]
Hello there! Provided the information, we know that the nearest multiple of 8 and 9 has to be greater than 50. 8 and 9 do not go into 50.

$9 • 6 hours = $54

$8 • 7 hours = $56

There are 60 minutes in an hour, so we can multiply accordingly:

60 minutes • 6 hours = 360 minutes

60 minutes • 7 hours = 420 minutes

Your final answers are:

It will take John 360 minutes to earn $50.

It will take Amber 420 minutes to earn $50.

(P.S. It takes Amber one more hour to earn $50 than it does for John to earn $50.)

Hope this helps!
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