Answer:
15 hip hop performances
12 ballet performances
Step-by-step explanation:
5:4 (multiply by 3)
15:12
You divide (1354.5 kg of potatoes) by (12 stores in the Bronx).
The quotient is ________ kg of potatoes per store in the Bronx.
The division is easy to do with your pencil or your calculator.
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:
Now notice that we have a difference of squares (
). Given a difference of squares, 
, this can always be factored into 
. We can use this in this case: 
.
So, our final factorized form is: .
Hope this helps!
