how long will it take 14 machines to complete the task, given that 8 machines can complete the same task in 7 days?
1 answer:
Answer:
4 days
Step-by-step explanation:
If 8 machines can complete a task in 7 days, how long will 14 machines take?
So, it is obvious that if the number of machines increases, the number of days taken to complete the task decreases; thus proving that this is an indirect / inverse proportion.
Let's take <em>x</em> as the number of days we need to find out.
8 machines : 7 days
14 machines : <em>x</em> days
14 × <em>x </em>= 8 × 7
14<em>x </em>= 56
x =
x = 4
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Answer:
44.1m
Step-by-step explanation:
we are given a quadratic function which represents the height and time of a baseball
we want to figure out maximum height of
the baseball
since the given function is a quadratic function so we have a parabola
which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)
to do so we can use some special formulas
recall that,
notice that, our given function is not in standard form i.e
let's make it so
therefore we got
our <em>a</em> is -4.9 and <em>b </em>is 29.4
so substitute:
remove parentheses and change its sign:
simplify multiplication:
simplify division:
so we have figured out the time when the baseball will reach the maximum height
now we have to figure out the height
to do so
substitute the got value of time to our given function
simplify square:
simplify mutilation:
simplify substraction:
hence,
the maximum height of the baseball is 44.1 metres
