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shusha [124]
3 years ago
9

Zhen is an audiobook narrator. The table gives some completed audio lengths and the amount of time Zhen spends researching, reco

rding, and editing the audiobook.
Completed length of audiobook (hours) Working time (hours)
1 6 1/2
3 1/2 22 3/4
7 45 1/2
10 65

What does 6 1/2 mean in this sitiuation?

a. Zhen 6 1/2 hours working for every hour of the completed audiobook.
b. Zhen completes 6 1/2 audiobooks in an hour.
c. Zhen spends 6 1/2 hours working per audiobook.
Mathematics
2 answers:
Basile [38]3 years ago
8 0

A

Khan academy

Hope this Helps

Never30

mestny [16]3 years ago
5 0

Answer:

c. Zhen spends 6 1/2 hours working per audiobook.

Step-by-step explanation:

The table below gives some completed audio lengths and the amount of time Zhen spends on the audiobook.

\left|\begin{array}{c|c}$Completed length of audiobook (hours) &$Working time (hours)\\---------&--------\\1&6\frac{1}{2} \\\\3\frac{1}{2}&22\frac{3}{4}\\\\7&45\frac{1}{2}\\\\10&65\end{array}\right|

We observe that from the table, in 6.5 hours, Zhen completes 1 audiobook.

In fact, across the table:

\dfrac{6\frac{1}{2}}{1}=\dfrac{22\frac{3}{4}}{3\frac{1}{2}}=\dfrac{65}{10}=6\dfrac{1}{2} $ hour per audiobook

Therefore, in this situation, 6.5 hours mean that Zhen spends 6.5 hours working per audiobook.

The correct option is C.

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Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term x^2, which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

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We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the x_v=-\frac{5}{2}. Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

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The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

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