The value of the function is 6
Step-by-step explanation:
The function that we have in this problem is
This means that:
when x is between -4 (excluded) and 6 (excluded), the value of the function is 
when x is between 6 (included) and 9 (excluded), the value of the function is 6
In this problem, we are asked to evaluate f(x) when x = 6. Therefore, we are in the second case: therefore, the value of the function is 6,
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4p^2 + 4p - 5
As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.
<em><u>List factors of -20.</u></em>
-5 * 4
5 * -4
-10 * 2
10 * -2
-20 * 1
20 * -1
<u>None of the factors added together result in positive 4.</u>
Because splitting the middle term is not possible, and we cannot simplify this expression any further:
This expression cannot be fully factored.
There are 120 female rabbits and 30 male rabbits because 30 times 4 is 120 and 120 plus 30 is 150
Well, to add fractions, you need to find a common denominator. In this case, the smallest common denominator would be 12. So you must multiply each fraction so that both denominators are 12.
3/4*3/3=9/12
1/3*4/4=4/12
Add those two fractions together, reduce if possible, and you have your answer!
9/12+4/12=13/12
You can't reduce, so 13/12 is your answer.
Hope it helps!
-Lacy
