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
Answer: 40
Step-by-step explanation: If she made 4 baskets in a half an hour then one hour she would make 8 in one hour and in 2 hours she would make 16 because 8 hours from the first hour and 8 more from the second hour. Because there is 1 hour and in the hour she made 8 if she needs 5 hours just multiply 8 by 5. That would give you 40.
Answer:
y = -3x +5. if y>-1
Step-by-step explanation:
-1 < -3x + 5
-6 < -3x
x < 2
Answer:
The number of chocolate made donuts is 40 more than cream filed donuts
Step-by-step explanation:
Given as :
The number of chocolate donuts made = 48
The number of chocolate donuts is 6 times the number of cream filled donuts
So, Let the number of cream filled donuts = x
So, number of chocolate donuts made = 
∴ = 48
Or, x = 
= 8
So, the number of cream filled donuts = 8
Now ,
The number of chocolate donuts made - the number of cream filled donuts = 48 - 8 = 40
So , The number of chocolate made donuts is 40 more than cream filed donuts Answer
12 + 12 + 7 + 7
I hope this helps, have a good day/night
