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lubasha [3.4K]
2 years ago
15

(2x³+4x²-x+8) / (x² + 3x + 2)

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0

\dfrac{2x^3+4x^2 -x+8}{x^2 +3x+2}\\\\\\=\dfrac{2x^3+6x^2+4x-2x^2-6x-4+x+12}{}\\\\=\dfrac{2x(x^2 +3x+2)-2(x^2 +3x+2)+x+12}{x^2 +3x+2}\\\\\\=\dfrac{2x(x^2+3x+2)}{x^2 +3x +2 }- \dfrac{2(x^2 +3x +2)}{x^2 +3x +2 } + \dfrac{x+12}{x^2 +3x+2}\\\\\\=2x-2 + \dfrac{x+2}{x^2 +3x +2}\\\\\\=2x-2 + \dfrac{x+12}{x^2 +2x +x +2}\\\\\\=2x-2 + \dfrac{x+12}{x(x+2) + x+2}\\\\\\=2x-2 + \dfrac{x+12}{(x+1)(x+2)}\\

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Determine whether the situation calls for a survey, an observational study, or an experiment.
antoniya [11.8K]

Answer:

The answer is "experiment."

Explanation:

When it comes to finding out whether a new reading program can increase reading comprehension, an experiment is important. <em>This procedure is being used in order to validate a hypothesis, particularly in a research study.</em> In the situation above, you have to validate whether a new reading program can increase the reading comprehension or not.

The experiment consists of the <em>independent, dependent and controlled variables.</em> The independent variables are the ones being changed by the researcher, while the dependent variables tell whether the changes in the independent variable is significant. The controlled variables are the ones that are constant.

The<u> dependent variable above is the reading comprehension, </u>while the <u>new reading program is the independent variable. </u>Examples of controlled variables are the<u> age</u>s of the participants. The age directly affects the reading comprehension, thus it has to be considered.

4 0
3 years ago
Would really appreciate it... will mark brainliest
d1i1m1o1n [39]

Exponential growth would include, A = 20,000(1.08)^t, A=40(30), P=1700(1.07).

Decay would include, A=80(1/2)^t, A= 1600(.8), P=1700(.93)

Hope this helps.

5 0
3 years ago
Read 2 more answers
When comparing the graphs of y = x and y &gt; x, what is a difference in the graphs?
mars1129 [50]
I donnt think that there is a solution, but could be wrong
8 0
3 years ago
Brandon buys a radio for $48.17 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary, round to the
shusha [124]

Answer:

49.0809

Step-by-step explanation:

Round it up to 49.10

8 0
2 years ago
Triangle PQR has vertices , , and . It is translated according to the rule . What is the y-value of ?
steposvetlana [31]

Answer:

-10 is the correct answer to the given question .

Step-by-step explanation:

Missing information:

Following question is incomplete there is no information about the vertices and the rules .Following are the complete question that is mention below

Triangle PQR has vertices P(-2, 6), \ Q(-8, 4), and\  R(1, -2). It is translated according to the rule    (x, y)\ -> \  (x\  - \ 2, y\  - 16). What is the y-value of P'?

Now coming to the solution as already mention in the question

The translated rule is (x, y)\  -> (x - 2, \ y -16).

Now calculated the vertices P value according to the rule of translated

P(-2, 6)\\Now \  apply \ the\ translated\ rule \ in\  P\ vertices\\P(-2, 6)->P1(-2-2,\ 6-16)\\P1->(-4,-10)

So -10 is the value of y in P vertices .

6 0
3 years ago
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