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maks197457 [2]
4 years ago
11

3(8z-1)+10-6(5+3z) please show your work!

Mathematics
1 answer:
ohaa [14]4 years ago
6 0

I think the question here is to clean up this expression and simplify it.

-- Eliminate the first set of parentheses:

                 3 (8z - 1) = 24z - 3

-- Eliminate the second set of parentheses:

                -6 (5 + 3z) = -30 - 18z

-- Now write the whole thing without the parentheses:

                24z - 3    + 10    - 30 - 18z

-- Add up all the z's:

                24z - 18z  =  6z

-- Add up all the plain old numbers:

                 -3 + 10 - 30 = -23

-- Write the z's and plain old numbers together:

                     6z - 23

And that's exactly the same thing as the whole ugly mess
that we started out with in the question.

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The function that models the scenario is given as follows;

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Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

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solving using the given values of the variable, t, we have;

P                t               A                 B       {}             C                      D

10        {}      0        {}     10        {}         10        {}          10        {}             10

16        {}      1        {}      16.07021       16.27604      16.34583        {} 16.38095

26        {}     2        {}     25.43466      26.2797       26.574             26.72363

42        {}     3        {}     39.33834      41.89929      42.82868         43.30901

66        {}     4        {}     58.85058      65.51853      68.09014         69.45316

100        {}   5        {}     84.17395        99.55866    106.0177          109.5721

Therefore, by comparison, the function represented by B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}} most accurately models the scenario.

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