First off, we'll convert the mixed fractions to "improper",

Answer:
The other solution is 12.
Step-by-step explanation:
Break the solution into groups: (x^2+2x)+(-12x-24)
Factor out the x^2 from the first group to get x(x+2)
Factor out the -12 out of the second group to get -12(x-12)
Here we get (x-12)(x+2)
You can see solutions are -2 and 12.
Answer:
- If the sum is 6, a small cone will be ordered.
- If the sum is 8 or 9, a medium cone will be ordered.
- If the sum is 11, a large cone will be ordered.
Step-by-step explanation:
The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...
6: 4
8: 2
9: 2
11: 4
To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.
The appropriate "fair decision" choice is ...
6: small cone
8 or 9: medium cone
11: large cone