SOLUTION: A drone takes off from a platform. Its height h(t), in meters, t seconds after
the takeoff can be modeled by the equation h(t) = −t² + 16t + 80.
Write the appropriate domain f
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Question 1205890: A drone takes off from a platform. Its height h(t), in meters, t seconds after
the takeoff can be modeled by the equation h(t) = −t² + 16t + 80.
Write the appropriate domain for this function based on the context. For
each box, select the letter before the correct value.
≤t ≤
Ⓐ - 20 Ⓔ - 4
Ⓑ - 4 Ⓕ 0
Ⓒ 0 Ⓖ 4
Ⓓ 4 Ⓗ 20
Found 2 solutions by math_tutor2020, ikleyn:
Answer by math_tutor2020(3816) (Show Source): You can put this solution on YOUR website!
The goal is to find the values of t which make h(t) = 0 true.
You can factor using trial and error, or use the quadratic formula.
I'll use the quadratic formula.
Plug in a = -1, b = 16, c = 80
or
or
or
If t = -4 or t = 20, then h(t) = 0.
I'll let the student confirm this.
The leading coefficient being negative (a = -1) tells us that the parabola opens downward. Therefore, the portion of the curve above the x axis spans from t = -4 to t = 20
h(t) > 0 on the interval -4 < t < 20
on the interval
However, since t is a time value, it makes no sense to have t be negative.
So we must require that as well.
Overlap and together to find the final answer is
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
Generally speaking, in mathematical problem books it is not customary
to ask students to solve problems based on a context.
Because who knows what is inside of the author’s head . . .
Yes, sometime students are forced do it, when the author is not able
to present the context explicitly using his own words - - - or is not able
to do it properly; or do not want to make necessary efforts . . .
But this is usually considered as a bad accident and DEFINITELY is NOT a good practice.
In any case, it does not speak well about the authors of such problems, when they
ask students solve a problem based on a context.
When a reader sees such invitation from the author to solve a Math problem based on a context,
a reader (and all people around) may think whether the author needs health procedures to improve his brain . . .
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