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2 answers:
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- y=2x²+6x+1
- y=-4x²+1
Make the equations equal and solve for x
- 2x²+6x+1=-4x²+1
- 6x²+6x=0
- 6x(x+1)=0
- 6x=0 or x+1=0
- x=0 or x=-1
For x=0
- y=-4(0)+1=1
For x=-1
- y=-4(1)+1=-3
The solutions are
- (0,1) and (-1,-3)
Graph attached
The formula for the value of nth term is = 3n + 1
Step-by-step explanation:
The formula of the nth term in the arithmetic sequence is
, where
- a is the first term of the sequence
- d is the common difference between each two consecutive terms
∵ The first term of an arithmetic sequence is equal to four
∴ a = 4
∵ The common difference is equal to three
∴ d = 3
- Substitute these values in the rule of the nth term
∵
∴
- Simplify it
∴
∴
The formula for the value of nth term is = 3n + 1
Learn more:
You can learn more about the sequence in brainly.com/question/7221312
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