6 2/3 is the answer you need.
Answer: (2,11)
Step-by-step explanation:
To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.
5x+1=-2x+15 [add both sides by 2x]
7x+1=15 [subtract both sides by 1]
7x=14 [divide both sides by 7]
x=2
Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.
f(2)=5(2)+1 [multiply]
f(2)=10+1 [add]
f(2)=11
The point on f(x) is (2,11).
g(2)=-2(2)+15 [multiply]
g(2)=-4+15 [add]
g(2)=11
The point on g(x) is (2,11).
Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).
You can't determine that unless you are given the sequence. of course you can infer about it and is easy but mathematically, there are an infinite number or sequences with these terms but u need the sequence
<h3><em>Hey there today we will solve your problem,</em></h3>
Number 1
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<h3>Definitions</h3>
- Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>
<em />
- Linear Pair - <em>A linear pair is a pair of adjacent angles formed when two lines intersect.</em>
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Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3
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Number 2
Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.
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- ∠5 and ∠3
2. ∠4 and ∠3
