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Pie
3 years ago
7

Find the slope of the line please

Mathematics
1 answer:
djyliett [7]3 years ago
8 0

The slope of the line is 4/1.

An easy way to find the slope of a line is something called "rise-over-run." From the lowest point, how many spaces does it have to move up in order to be horizontally-on-the-line with the highest point? 4.

How many spaces across? 1...

4 = rise

1 = run

4 RISE

-- -------

1  RUN

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At $4.47 per hour, what is the least amount of full hours needed to work to earn at least $240?
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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is
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Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

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N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

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