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aleksandr82 [10.1K]
4 years ago
10

Which of the following numbers is closest to 1?

Mathematics
2 answers:
Mademuasel [1]4 years ago
5 0
D------------------------
Dima020 [189]4 years ago
4 0
The answer is D.
A= 0.98
B= 0.99
C= 0.985
D= 0.998
E= 1.003

It is between D and E here is the rest:
1-0.998=.002
1.003-1=.003

D

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<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

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Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}

Now you can rewrite it as:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}

Next, multiply:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}

Next, divide:

(\frac{f}{g})(x)=(x+2)^2

And lastly, simplify:

  • A good tip: (x+y)^2=x^2+2xy+y^2

(\frac{f}{g})(x)=x^2+4x+4

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

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