Function is p(x)=(x-4)^5(x^2-16)(x^2-5x+4)(x^3-64)
first factor into (x-r1)(x-r2)... form
p(x)=(x-4)^5(x-4)(x+4)(x-4)(x-1)(x-4)(x^2+4x+16)
group the like ones
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
multiplicity is how many times the root repeats in the function
for a root r₁, the root r₁ multiplicity 1 would be (x-r₁)^1, multility 2 would be (x-r₁)^2
so
p(x)=(x-4)^8(x+4)^1(x-1)^1(x^2+4x+16)
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the root 1 and has multiplity 1
(x^2+4x+16) is not on the real plane, but the roots are -2+2i√3 and -2-2i√3, each multiplicity 1 (but don't count them because they aren't real
baseically
(x-4)^8 is the root 4, it has multiplicity 8
(x-(-4))^1 is the root -4 and has multiplicity 1
(x-1)^1 is the root 1 and has multiplity 1
Answer:
.56 miles or 56/100 of a mile
Step-by-step explanation:
5 days = 4/10 = .4
7 days = ?
.4 / 5 * 7 = .56
.56 miles or 56/100 of a mile
Answer:
- 3/20, with the assumptions below.
Explanation:
The question seems incomplete.
In order to show you the procedure, I make some assumptions.
Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.
The operation is:
Convert the whole number 5 into fraction using 1 as denominator:
Transform the division into multiplication changing the divisor into its reciprocal:
Multiply numerator with numerator and denominator with denominator:
Answer:
If each book cost $20.45 then you times it by 21 and the answer you would get is 429.45
Step-by-step explanation:
im 99% that its correct
4 yards and 2 feet is equal 14 feet since each yard is made up of 3 feet.
1 yard = 3 feet.
So if we take 14 feet and multiply that by 3 we get 42 feet.
42/3 is equal to about 14 yards in total
So the answer is 14 yards.
