Answer:
the answer would be 2(2+11)
Step-by-step explanation:
Answer:
(1,9)
Step-by-step explanation:
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:the number of children tickets that were sold is 30.
the number of adult tickets that were sold is 70
Step-by-step explanation:
Let x represent the number of children tickets that were sold.
Let y represent the number of adult tickets that were sold.
The movie theater sells a total of 100 tickets. This means that
x + y = 100
The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that
6x + 10y = 880 - - - - - - - - - - -1
Substituting x = 100 - y into equation 2, it becomes
6(100 - y) + 10y = 880
600 - 6y + 10y = 880
- 6y + 10y = 880 - 600
4y = 280
y = 280/4 = 70
x = 100 - y = 100 - 70
x = 30