2(3)^3 + 4(3)^2-6(3)
2x 27 + 4x9 - 18
54 + 36 -18
= 72
Option E
The numerator of fraction is 21
<h3><u>Solution:</u></h3>
is to be written as improper fraction in lowest terms
To find: numerator of fraction
An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).
<em><u>To convert a mixed fraction to an improper fraction, follow these steps:</u></em>
- Multiply the whole number part by the fraction's denominator.
- Add that to the numerator.
- Then write the result on top of the denominator.

Thus the numerator of fraction is 21. Option E is correct
For get the solution of this task, we must make the system of equations.First it: "The quotient between the sum of two numbers and one of them is equal to 3" Let's take two values: a and b.(a+b)/b=3 --- it's will be first equation in our system.
and "The inverse of double the sum of them and equal to 1/6"1/2(a+b)=1/6 it's will be second equation in our system.
Attention at parenthesis.
System(a+b)/b=31/2(a+b)=1/6
by the first equation:(a+b)/b=3a+b=3ba=2b --- we will use this equation for second equation in system
1/2(2b+b)=1/61/3b)=1/63b=6b=2 and a=2b, that's mean a=1.The answer is pair (1;2)