Answer:
He is 20 years old.
Step-by-step explanation:
cuz 20 - 8 = 12(sisters age)
so if the sum of both their ages is 20 then, he is 20.
F(x)=x^5 + 5*x^4 - 5*x^3 - 25*x^2 + 4*x + 20
By examining the coefficients of the polynomial, we find that
1+5-5-25+4+20=0 => (x-1) is a factor
Now, reverse the sign of coefficients of odd powers,
-1+5+5-25-4+20=0 => (x+1) is a factor
By the rational roots theorem, we can continue to try x=2, or factor x-2=0
2^5+5(2^4)-5(2^3)-25(2^2)+4(2)+20=0
and similarly f(-2)=0
So we have found four of the 5 real roots.
The remainder can be found by synthetic division as x=-5
Answer: The real roots of the given polynomial are: {-5,-2,-1.1.2}
What this is essentially asking is six is half of a number which is half of a number, or six times two times two.

You have
24 pumpkins.
Answer:
The area would be 1 : 16 ratio, of the smaller rectangle to the larger one.
Step-by-step explanation:
I used a rectangle with the side length of 1 to model this for me. You can choose any number, but 1 is easy to multiply.
If the original rectangle had a side length of 1 and 1, the area would be 1.
If you reduce the size to 1/4th of the size, the area would be 0.0625, or 1/16th of the original.
I hope this helped!