Separate the quadratic functions into two individual function in x which multiply together to equal the original quadratic.
Eg: x^2-3x-10=0 can be written as (x+2)(x-5)=0
The two solutions for x can then be determined by making each bracket equal to zero.
x+2=0 so x=-2x-5=0 so x=5
Answer:
8/27 ≈ 29.6%
Step-by-step explanation:
Two of the six faces are B, which means four of the six faces are not B.
The probability of rolling not B three times is:
P = (4/6)^3
P = (2/3)^3
P = 8/27
P ≈ 29.6%
Answer:
3820 years
Step-by-step explanation:
The age of the skull can be found using carbon-14 by applying the half-life relationship.
Age of skull is given by;
where N=63 N₀=100 -0.693=decay factor of carbon and 5730 =half-life of carbon-14, t =age
substitute values in equation
Answer:
8 inches
Step-by-step explanation:
Surface area of a prism is:
S = 2A + Ph
where A is the area of the base, P is the perimeter of the base, and h is the height of the prism.
The base is a square, so A = s² and P = 4s:
S = 2s² + 4sh
Given that S = 512 and h = 12:
512 = 2s² + 4s(12)
512 = 2s² + 48s
256 = s² + 24s
0 = s² + 24s - 256
0 = (s + 32) (s - 8)
s = -32, s = 8
Since s must be positive, s = 8 inches.
