Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...
y=3x^2-6x+2 subtract 2 from both sides
y-2=3x^2-6x divide both sides by 3
(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case: (-2/2)^2=1 so
(y-2)/3+1=x^2-2x+1 now the right side is a perfect square
(y-2+3)/3=(x-1)^2
(y+1)/3=(x-1)^2 multiply both sides by 3
y+1=3(x-1)^2 subtract 1 from both sides
y=3(x-1)^2-1 so the vertex is:
(1, -1)
...
Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above. The vertex of any quadratic (parabola), ax^2+bx+c is:
x= -b/(2a), y= (4ac-b^2)/(4a)
Then you will always be able to do a quick calculation of the vertex :)
Answer:
12 pieces
Step-by-step explanation:
Since on Thursday Glenn and Ben each ate an eight, then total they ate 2*1/8=2/8=¼
¼ of 24 pieces is equivalent to
¼*24=6 pieces
The number of pieces that remain would be 24-6=18 pieces
The one third of leftover ate rhe next day will be equivalent to
⅓ of 18
⅓*18=6 pieces
Remaining pieces next day will be 18-6=12 pieces
Therefore, only 12 pieces out of 24 original pieces remain the following day.
Answer:
Yes (True)
Step-by-step explanation:
2/6 = 1/3 = 20 minutes
1/2 = 30 minutes
20 + 30 = 50 minutes
50 minutes x 7 = 350 minutes = 5 hours and 50 minutes
5 x $5.25 = $26.25
50 minutes = 5/6
5/6 of $5.25 = 4.375
Add $26.25 to the total for 50 minutes to get your answer. :)
Eli received the most votes
Step-by-step explanation:
Given percentages are:
Eli: 30%
Daphne: 27%
Celeste: 25%
Thaddeus: 18%
When a circle chart is used, the sum of all percentages is 100.
In case of finding the largest between the portions, the part with the greater percentage has the greater share in the chart.
According to given percentages, Eli has the highest percentage, which means that Eli received the most votes.
Hence,
Eli received the most votes
Keywords: Circle chart, percentages
Learn more about circle chart at:
#LearnwithBrainly
