Answer:
The score is 66
Step-by-step explanation:
Say the unknown score is x
Average = Total score/no of occurrence
78 = (x + 76 + 74 + 76 + 80 + 83 + 91)/7
78 × 7 = x + 76 + 74 + 76 + 80 + 83 + 91
546 = x + 480
546 - 480 = x
66 = x
∴ x = 66
Answer: y^2 / p^3
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
