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devlian [24]
3 years ago
6

Which of the following ratios is not equivalent to the following statement: The ratio of right-handed students to left-handed st

udents is 18:4
A9:2
B 36:8
C 8:2
D 54:12
Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

In (A), we have 9 : 2.

Multiply by 2, we get 18 : 4

In (B), we have 36 : 8.

Divide by 2, we get, 18 : 4.

In (D), we have 54 : 12.

Divide by 3, we get, 18 : 4.

Hence, (C) is not equivalent to the given statement.

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
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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).


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