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MariettaO [177]
3 years ago
13

The local weather station collected data for the history of temperatures in the month of December in Houston. The tables show th

e temperature every two hours after 8 a.m. the data can be modeled by a quadratic function

Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

  6.  B. T(n) = -0.411n² +6.5n +27

  7.  C. The zeros, -18 and 18, can be found when 0 = (x +18)(x -18)

Step-by-step explanation:

6. Graphing, or thinking about the data in the table, you see that it is described by a curve that opens downward and has a peak in the vicinity of n=8.

Of the choices offered, the only ones that describe a downward-opening curve are the ones with a negative leading coefficient, B and C. Of those two, Choice C has a peak at n=0, leaving choice B as the only viable one.

This is confirmed by software that computes the regression formula for you. (see attached)

__

7. You know that "the difference of squares" has a special factored form:

  a² -b² = (a +b)(a -b)

This suggests that the function you have might be considered in terms of the difference of squares:

  h(x) = x² -324 = x² -18²

So, its factoring would be ...

  h(x) = (x +18)(x -18)

The zeros of the function are those values of x such that h(x) = 0. Hence, the zeros can be found when ...

  0 = (x +18)(x -18)

Those values of x are -18 and 18, matching choice C.

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At a high school, the length of a class period is 40 minutes. What is the length, in hours, of a class period at the high school
olga2289 [7]

Answer:

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Joe bought a $40 video game for only $28, what was the percent discount on<br> the item?
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2 years ago
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An observer, whose eyes are 1.98 m above the ground, is standing 39.2 m away from a tree. The ground is level, and the tree is g
lozanna [386]

Answer:

The tree is 16.25 m tall.

Step-by-step explanation:

Attached is a diagram that better explains the problem.

From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.

To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.

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