Answer:
(2,4)
Step-by-step explanation:
We have the system:
y=x+2
y=3x-2.
This is already setup for substitution.
I'm going to replace my first y with what the second y equals.
That is, I'm going to write 3x-2=x+2.
Time to solve the following for x:
3x-2=x+2
Subtract x on both sides:
2x-2= 2
Add 2 on both sides:
2x. = 4
Divide both sides by 2:
x. = 2
Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.
So we y=x+2 with x=2 which means y=2+2=4.
So the solution, the intersection, is (2,4).
Answer:
x=-5
Step-by-step explanation:
Growth mindset because there is a new point/topic to look at everyday and even though it may challenge your mind, it feels better when you have learned it
The GCF of 33c and 55cd is
33c/11c = 3
55cd/11c = 5d
the greatest common factor is 11c
hope this helps
Answer:
Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached
Step-by-step explanation:
Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.
Its general form is denoted by
,
where
represents the
of the Fibonnaci series.
The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.
But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows