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IrinaVladis [17]
4 years ago
10

Is 16/17 a repeating decimal

Mathematics
1 answer:
Ksju [112]4 years ago
4 0
No, it is not a repeating decimal
<span>0.941176</span>
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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Four points, A(0,0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as
anygoal [31]

Answer:

Parallel

Step-by-step explanation:

Parallel lines are 2 coplanar lines that dont intersect at any point

4 0
3 years ago
What equation of a line is parallel to y=3/5x+2
lozanna [386]

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any equation that has the same slope as the original line (3/5x)

Step-by-step explanation:

examples:

y= 3/5x + 5

y= 3/5x - 3

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4 years ago
Which expression represents the calculation “add 5 and 6, then multiply by 3"?
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(5 + 6)3   would represent  what you want.
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3 years ago
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Atlantic sea turtle eggs that incubate below 23°C or above 33°C rarely hatch. Write the temperature requirements in two ways: as
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If the temperature of the egg is x, then if x is below 23 (x<23), they rarely hatch. If x is greater than 33 (x>33), they also rarely hatch. For them to not rarely hatch, then x must be not below 23 (greater than or equal to) and not above 33 (less than or equal to), resulting in our compound equality being 
23≤x≤33 and our pair of simple inequalities being x≥23 and x≤33. 
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3 years ago
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