Algebra 2

1. What is the slope of the line perpendicular to y-6=-2x-4?

2. Simplify 8 ^1/3. In case that doesn't make sense the problem is simplify 8 to the 1/3 exponent.

3. Solve -5<2x-7<8

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  1. 1. y = 2x + 2
    so in this case, the slope is 2. Perpendicular slope is a negative reciprocal, which means it would be... -1/2.
    2. this is when you do a cube root of 8. You are asking yourself, what is the value of x for the equation, x^3 = 8.
    So you get x = 2.
    3. for this problem, using the order of operations, you would have to add 7 to each number, so you get 2<2x<15. Then you will divide the numbers by 2, and get 1<x<7.5.

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  2. On #1 why is it a negative recipricol and not 1/2? Then on #2 I don't see how you are getting that answer. Could you please explain? Thanks.

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