Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
<h3>60 = 2*2*3*5</h3>
which is the same as saying
<h3>60 = 2^2*3*5</h3>
Answer: Circumference = 25.12
Explanation:
Circumference = pi x d
C = 3.14 x 8
C = 25.12
Answer:
Step-by-step explanation:
the both eual out to the same equation like how 3/4 equals 0.75 and 3/2 equals 1.5 well if you keep dividing sooner or later they will both be equal at the same number.
Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts:
= 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)