Start with <span>x^2 +14x = -24,
Find HALF the value of 14: 7
Square this: 49
Add 49, and then subtract 49: x^2 + 14x + 49 - 49 = -24 We have a
perfect square
Rewrite the quadratic as the sq. of a binomial: trinomial on
the left
(x+7)^2 = 25
Take the sqrt of both sides: x+7 = plus or minus 5
Then x = -2 and x = -12</span>
<u>Answer</u>:
The number of hens is 100 and the number of roosters is 200.
<u>Step-by-step explanation:</u>
Let the number of hens be x and the number of roosters be y
then the total number of hens and roosters, is 300
so,
----------------------------(1)
Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,
----------------(2)
To solve the equations , multilpy eq(1) by 80
------------------(3)
Subracting (2) from (3)


substituting y in eq(1) we get



1. the 24 students in Anne's class.
2. 1 of the 24 students is chosen at random.
3. 1/24 or 0.04166666666...
4. Unlikely, due to her small, but present, chances of 1/24.
Answer:
There are 8008 possible outcomes are there the first time he grabs 6 chocolates
Step-by-step explanation:
The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many possible outcomes are there the first time he grabs 6 chocolates?
6 chocolates from a set of 16. So

There are 8008 possible outcomes are there the first time he grabs 6 chocolates
Hi!
I'm quite sure the answer should be 24.