Answer: the third option is the correct answer.
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 10x + 24 = 0
We would apply the method of factorization by finding two numbers such that their sum or difference is -10x and their product is 24x^2. The two numbers are - 6x and - 4x. Therefore,
x² - 6x - 4x + 24 = 0
x(x - 6) - 4(x - 6) = 0
(x - 6)(x - 4) = 0
Therefore, the solutions to the equation are
x = 4 or x = 6
Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
B)The percent of purple candies will approach 25%.
I know this answer because i got it right from the same source they got the question from.
****please dont delete it******
plus im prety sure there is a law that says the more times you do a question like this the closer the experimental prababilty gets to the theoritical probability.
:
If two quantities are proportional, then they have a constant ratio. If the ratio is not constant, the two quantities are said to be non-proportional.