Answer:


Step-by-step explanation:
2x² +21x-61 = (x+7)²
expand
2x² + 21x - 61 = x² + 14x +49
move everything to one side
x² + 7x - 12 = 0
use quadratic formula

plug in the values

solve



Answer:
No solution
Step-by-step explanation:
So we have the equation:

First, subtract 20 from both sides:

Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer.
Since this equals -16, this means that there is no solution.
And we're done!
Answer:
43.16 mg
Step-by-step explanation:
After each hour, the amount remaining is 100% - 12% = 0.88 times the amount present at the beginning of the hour. Then after 8 hours, the amount remaining will be the initial amount multiplied by 0.88 eight times, or ...
(120 mg)·(0.88^8) ≈ 43.1561 mg ≈ 43.16 mg
_____
Of course, an exponent is used to signify repeated multiplication. You can actually do the multiplication if you like, but most scientific and graphing calculators handle exponentiation easily.