2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
-6x + 12
To find this answer, follow these steps:
First, multiply 2x + 3 and x - 6 using either the FOIL method or the box method. This should get you the answer of 2x^2 - 9x - 18
This should now replace the 2x + 3 and x - 6
So with that, you should have this currently:
2x^2 - 9x - 18 - 2x^2 + 3x + 30
Now, combine like terms:
The 2x^2 cancels each other out. After that, combine -9x and 3x to get -6x. Then -18 and 30.
This should leave you with the final answer of -6x + 12
Hope this helps!
Step-by-step explanation:
Increase in dollars
19/100 x 472.000 = $89,670
and the current value house is $472,000 + $89,670 = $561,680
Does it say how many of the marbles in the bag are red? Normally you will want to divide the amount of red marbles to the amount total marbles and you will get a percent. It's also note worthy that it states the marble going back into the bag. It would change if it was left out still.