Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
Step-by-step explanation:
Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.
a) P(E) = P(the difference of the numbers is 3 or more}
Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)
P(E) = 
b)P(F)
Favourable events for F = (1,1) (2,2)...(6,6)
P(F) = 
c) P(EF)
There is no common element between E and F
P(EF) =0
Answer: X=-2 1/5, X=-1
Step-by-step explanation:
The distance from CF is 9 units, 1/5 that = 1 4/5, add that to -4 is -2 1/5.
The distance from BD is 6 units, 2/3 that =4, add that to -5 is -1.
Hope this helps!
Answer:
Exponential functions are patterns that get continuously multiplied by some number. It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Step-by-step explanation:
Answer:
it is a
Step-by-step explanation:
