Answer:
(2 x + 3) (2 x + 9)
Step-by-step explanation:
Factor the following:
4 x^2 + 24 x + 27
Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):
9 (2 x + 3) + 2 x (2 x + 3)
Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):
Answer: (2 x + 3) (2 x + 9)
Simplifying this, we get:
(x+4)(x-4) = 0
Now, to get 0, we can replace x for one of these things to make 0, so:
x can either be 4, or -4
Answer:
32/3
Step-by-step explanation:
There is two event that needs to be made: 1. blue eyes, and 2. brown eyes. A spinner is made with a circle. A full circle has 360 degrees and it would be divided based on the probability of the event.
Blue eyes have 25% chance, so the angle of the spinner would be 25%*360°= 90°
Brown eyes have 75% chance, so the angle of the spinner would be 25%*360°= 270°
So, the 90° of the circle would be written as 1(blue eyes) and 270° of the circle will be written as 2(brown eyes).
