H=3+14t-5t^2 What is its maximum height
1 answer:
Answer:
12.8
Step-by-step explanation:
Given a parabola in standard form , ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
h = 3 + 14t - 5t² ← is in standard form
with a = - 5 and b = 14, thus
= -
= 1.4
Substitute t = 1.4 into h for maximum height
h = 3 + 14(1.4) - 5(1.4)²
= 3 + 19.6 - 9.8 = 12.8
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Answer:
15
Step-by-step explanation:
To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula
In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.
Furthermore, we must round to the nearest whole number, as you cannot make part of an item.
Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:
Answer:
The answer to your question is 13 units
Step-by-step explanation:
Data
A (1, 9)
B (-4, -3)
distance = ?
Formula
distance =
Substitution
distance =
Simplification
distance =
distance =
distance =
Result
distance = 13