Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Terms: Binomial
Degree: Linear
47/8 is an improper fraction so we need to divide 47 by 8 to get an mixed number.
8 go into 47, 5 times because 5*8 equals 40.
47-40 is 7 that is the left over.
5 7/8 is your mixed number.
Step-by-step explanation:
1) when x= 1/5
y = 1/5 + 1/2
y = 7/10
2) when x= 1/4
y = 1/4 + 1/2
y= 3/4
3) when x= 1/3
y = 1/3 + 1/2
y = 5 /6
So perm cost 2 times as hair cut
perm=2 times haircut
she also needs 5 dollars for lunch
so therefor if 95 is enough to cover it we do
cost=lunch+perm+haircut
cost=5+perm+haircut
subsitute
95=5+2 times haircut+1 time haircut
add like terms
95=5 +3 times haircut
subtract 5 from both sides
90=3 times haircut
diide by 3
30=haircut
subsitute
perm=2 times haircut=2 times 30=60
perm=$60
