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2 years ago

Which algebraic properties was applied to the expression a + (b + c) = (a + b) + c?

Mathematics

1 answer:

andrew11 [14]2 years ago

5 0

Answer:

the Associative Property

Step-by-step explanation:

Notice that the ORDER doesn't change -- a, b, c on both sides. But the GROUPING changes.

Example:

3 + (4 + 5) = (3 + 4) + 5

3 + 9 = 7 + 5

12 = 12

Subtraction does NOT behave this way!

8 - (7 - 1) = 8 - 6 = 2

(8 - 7) - 1 = 1 - 1 = 0

It matters who you associate with! :-)

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Dakota makes a salad dressing by Combining 7 1/3 fluid ounces of oil and 2 1/8 fluid ounces of vinegar in a jar. she then pours

pshichka [43]

7 1/3 + 2 1/8 = 9 11/24

9 11/24 - 2 1/4= 7 5/24

Your answer is 7 5/24

Hope I helped!

Let me know if you need anything else!

<span>~ Zoe</span>

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2 years ago

After the mill in a small town closed down in 1970, the population of that town started decreasing according to the law of expon

wlad13 [49]

Answer:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

Step-by-step explanation:

The natural growth and decay model is given by:

$\frac{dP}{dt}=kP$ (1)

Where P represent the population and t the time in years since 1970.

If we integrate both sides from equation (1) we got:

$\int \frac{dP}{P} =\int kdt$

$ln|P| =kt +c$

And if we apply exponentials on both sides we got:

$P= e^{kt} e^k$

And we can assume $e^k = P_o$

And we have this model:

$P(t) = P_o e^{kt}$

And for this case we want to find $P_o$

By 1990 we have t=20 years since 1970 and we have this equation:

$143000 = P_o e^{20k}$

And we can solve for $P_o$ like this:

$P_o = \frac{143000}{e^{20k}}$ (1)

By 2019 we have 49 years since 1970 the equation is given by:

$98000 = P_o e^{49k}$ (2)

And replacing $P_o$ from equation (1) we got:

$98000=\frac{143000}{e^{20k}} e^{49k} =143000 e^{29k}$

We can divide both sides by 143000 we got:

$\frac{98000}{143000} =0.685 = e^{29k}$

And if we apply ln on both sides we got:

$ln(0.685) = 29k$

And then k =-0.01303024661[/tex]

And replacing into equation (1) we got:

$P_o = \frac{143000}{e^{-20*0.01303024661}}=110193.69$

And we can round this to the nearest up integer and we got 110194.

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2 years ago

Use the written statement to construct a polynomial function that represents the required information.

timofeeve [1]

Answer:

not answering me ok mf bf ff

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3 years ago

Need help fast!!! 15 points!!

garri49 [273]

Answer:

y=-1/3x+1/2

the slope is -1/3 and the y intercept is where the line crosses the y axis, which in this case, is 1/2

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3 years ago

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valentina_108 [34]

Not sure what you mean but i’m replying so i can get some point yk

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2 years ago

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