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:
x =s
Step-by-step explanation:
42 9 x 143 x r
Answer: the first one
Step-by-step explanation: just trust me ;)
Answer:
The brother is likely wrong.
Step-by-step explanation:
The range of the vehicle with a full tank is ...
(13.5 gal/tank)(25 mi/gal) = 337.5 mi/tank
You have 1/4 tank, so your range is ...
(337.5 mi/tank)(1/4 tank) = 84.375 mi
If you make the 85 mile distance, it will be because you achieved gas mileage better than average and/or your gas gauge gives you some cushion.
Unit analysis says you do not have the necessary range.
Answer: wouldn’t it be $9,000? Or $12,000?
Step-by-step explanation:
