Simplify the expression. -1/2 + 1/6
1 answer:
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Answer:
D. Minimum at (3, 7)
Step-by-step explanation:
We can add and subtract the square of half the x-coefficient:
y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2
y = (x -3)^2 +7 . . . . . simplify to vertex form
Comparing this to the vertex for for vertex (h, k) ...
y = (x -h)^2 +k
We find the vertex to be ...
(3, 7) . . . . vertex
The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.
Answer:
they work together, it will take 2.4 hours to build the wall.
Step-by-step explanation:
One bricklayer can build a wall in 6 hours.
One hour work =
Another bricklayer can build the same wall in 4 hours.
One hour work =
They can together, how long will take them to build the wall.
Let's take "t" the time taken to build the wall.
The sum of their work rate = 1 (To build the wall)
Now we have to solve this equation. Take LCD of 6 and 4.
The LCD (least common divisor) of 6 and 4 is 12.
5t = 12*1
5t = 12
Dividing both sides by 5, we get
t =
t = 2.4 hours.
So, they work together, it will take 2.4 hours to build the wall.