Someone has 5 cookies and wants to divide it by 4 people. If you would like to know how many cookies will each person get, you can calculate this using the following step:
5 cookies / 4 people = 5 / 4 = 1.25
Result: Each person will get 1.25 cookie.
Answer:
3 and 9
if f(x)=x^2+13 and g(x)=12x-14
Step-by-step explanation:
So when we are looking for the intersection of two functions, we are trying to figure out when they are the same. When you think same, you should think equal (=).
So we want to find when f(x)=g(x) for x.
f(x)=g(x)

Let's get everything to one side.
Subtracting 12x and adding 14 to both sides.

I'm going to reorder the left hand side and also simplify the 13+14 part:

Now since the coefficent of x^2 is just 1 our job is to find two numbers that multiply to be 27 and add up to be -12.
Those numbers are -3 and -9 since -3(-9)=27 and -3+(-9)=-12.
So the factored form of our equation is

Since the product is 0, then at least one of the factors must be 0.
So we want to solve both x-3=0 and x-9=0.
x-3=0 can be solved by adding 3 on both sides. This gives us x=3.
x-9=9 can be solved by adding 9 on both sides. This gives us x=9.
The intersection of f and g happens at x=3 or x=9.
Taking out the greatest common factor
GCF of 40, 40 and 32 = 8
GCF of n^4, n^3 and n^3 is n^3
so the factors are
8n^3(5nm^2 +5m^3 - 4)