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Nutka1998 [239]
3 years ago
7

Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

The 20th term is -106

15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60

-60 + -46

-106

You're just subtracting by 6.

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Graph the line given by x+y=-2 and the quadratic curve given by y=x²-4. Find all solutions to the system of equations. Verify yo
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Answer:

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Step-by-step explanation:

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Applying the second equation to the first

x+x^2-4=-2\\\Rightarrow x+x^2-4+2=0\\\Rightarrow x^2+x-2=0

Solving the equation we get

x=\frac{-1+\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}, \frac{-1-\sqrt{1^2-4\cdot \:1\left(-2\right)}}{2\cdot \:1}\\\Rightarrow x=1, -2

When x = 1

y=-2-1\\\Rightarrow y=-3

When x = -2

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