Answer:
see explanation
Step-by-step explanation:
(a)
(x + 2)(x + 12) ← expand using FOIL gives
x² + 14x + 24 ≠ x² + 10x + 24
(b)
consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 10)
the factors are + 6 and + 4 , since
6 × 4 = 24 and 6 + 4 = 10 , then
x² + 10x + 24 = (x + 6)(x + 4)
Answer:
The number of child tickets sold by the amusement park is 189.
Step-by-step explanation:
Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:
3:1 = C:A .................... (1)
Where;
C = ?
A = 63
Substituting for the value into equation (1), we have:
3:1 = C:63
This can be converted to solve for C as follows:
3 / (3 + 1) = C / (C + 63)
3 / 4 = C / (C + 63)
0.75 = C / (C + 63)
0.75(C + 63) = C
0.75C + (0.75 * 63) = C
0.75C + 47.25 = C
47.25 = C - 0.75C
47.25 = 0.25C
C = 47.25 / 0.25
C = 189
Therefore, the number of child tickets sold by the amusement park is 189.
Square root of (675 b^3 c^2 d^4 )
Answer:
P
Step-by-step explanation:
p is the ans