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Bad White [126]
3 years ago
15

Find the coordinates of the point of intersection of the graphs of lines: y=1−2x and y=x−5

Mathematics
1 answer:
koban [17]3 years ago
5 0

To find the point of intersection, you have to set them equal to each other.

1 - 2x = x - 5\\\\-2x - x = -5 - 1\\\\-3x = -6\\\\x = 2

To find the y-value, plug in 2 into one of the equations:

y = 2 - 5

y = -3

Point of intersection: (2, -3)

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Read 2 more answers
For each explicitly-defined sequence below, write the first few terms. Then use the terms to write a recursive equation.
julia-pushkina [17]

Answer:

Step-by-step explanation:

Problem A

t(1) = 2(1) + 5

t(2) = 2*2 + 5 = 9

t(3) = 2*3 + 5 = 11

t(4) = 2*4 + 5 = 13

So this is the explicit result. Now try it recursively.

t_3 = t_2 + 2

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t_3 = 11          which is just what it should do.

t_n = t_(n - 1) + 2

Problem B

t(1) = 3 * 1/2

t(1) = 3/2

t(2) = 3*(1/2)^2

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t(2) = 3/4

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So in general

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6 0
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