To factor an expression of the form:
we find two numbers B and C that fulfills the following properties:
In this case we have b=-4 and c=-12. We can choose B=-6 and C=2. Then we write the expression as:
and we factor the common factors in the first two and last terms:
Therefore:
26 is the answer to 40% of 65
Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.
The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16
So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.
To check your answer, plug in the values:
16+22+88=126
126=126
Hope this helps.
(2x^3 + 8x )/(4x^5)
= {2x (x^2 + 4)}/ (2x)(2x^4)
= (x^2 +4)/(2x^4)
