Answer:
f(x) = 4(x + 6)² – 134
Step-by-step explanation:
To write an equation in vertex form, we first factor out the GCF of the first two terms. For 4x² and 48x, this is 4:
f(x) = 4(x²+12x)+10
Next we complete the square. The value of b inside parentheses is 12; we take half of that and square it:
(12/2)² = 6² = 36
We add this inside parentheses. However in order to preserve equality, we must subtract this value as well. Since the terms inside parentheses are being multiplied by 4, we multiply the 36 we subtract by 4 as well:
f(x) = 4(x²+12x+36)-4(36)+10
Simplifying, we have
f(x) = 4(x²+12x+36)-144+10
Combining like terms,
f(x) = 4(x²+12x+36)-134
Next we write the trinomial in parentheses as a perfect square:
f(x) = 4(x+6)²-134
Answer: 8 minimum work stations is what would be needed.
Step-by-step explanation:
The cycle time is computed as the operating time daily divided by the scheduled output.
It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.
Therefore,
If you need to produce 30units/hour.
The average cycle time is as follow:
The average cycle time is the average time between the completions of units.
60/30= 2 average cycle time
=16/2
=8
8 work stations is the minimum number that would be needed.
It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.
Ok so each bucket had 9 buckets then this what you will have to do:
48 divided by 9= 5.333333333333333333 (it is five point three repeating)
45 seconds the difference from 7 45 to 8 is 15 plus another 30 to get 8:30 which is a 45 second difference
Answer:
42.3% or 11/26
Step-by-step explanation:
IN order to calculate the percentage of people that voted for Candidate A you just need to add up the number of votes for that candidate and then multiply it by 100 and divided by the total votes.
There were 26 voters, since there were 7 that didn´t vote for anyone, so we have that 11 voted for Candidate A:
So the percentage of voters that voted for candidate A was 42.3 percent.