You can factor this
x^2 + 10x + 16 = 0
(x + 8)(x + 2) = 0
so x + 8 =0 or x + 2 = 0
x = -8, -2
44 chicken and 28 rabbits
Given:
chicken head + rabbit head = 72 heads
chicken feet + rabbit feet = 200 feet
c + r = 72
2c + 4r = 200
find the value of c using the 1st equation:
c = 72 - r
substitute c by its value in the 2nd equation:
2c + 4r = 200
2(72-r) + 4r = 200
144 - 2r + 4r = 200
2r = 200 - 144
2r = 56
r = 56/2
r = 28
c = 72 - r
c = 72 - 28
c = 44
c = 44 ; r = 28
To check:
2c + 4r = 200
2(44) + 4(28) = 200
88 + 112 = 200
200 = 200
33 and one third as a fraction would be either 33 1/3 or 100/3
Answer:
(x - 4)
Step-by-step explanation:
Given
x² + 2x - 24
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (+ 2)
The factors are + 6 and - 4, since
6 × - 4 = - 24 and 6 - 4 = + 2, thus
x² + 2x - 24 = (x + 6)(x - 4) ← in factored form
Thus the other factor is (x - 4)
