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:
9.97 i think
Step-by-step explanation:
Im so confused about this question
If you want to increase something by 31% then...
100%+31%=131% or 1.31
you multiply it by 131% or 1.31. So for 429 grams...
429*1.31=561.99grams
If you increase 429 by 31%, you get 561.99 grams
Answer=561.99 grams
to make a perpendicular function from another we must take its slope and make two transformations
the slope of y=1/3x is 1/3
the transformations:
1.
reverse the number
2.
and change the sign
ok we have the slope now need the general equation of the line
where m is the slope , b a cut point and (x,y) a point
so, we have the slope=-3 , and the point (2,-3) we can replace to find b
now we can replace b and the slope to have the final equation
