The reciprocal of -x is ____
1 answer:
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You can't have a negative number under a radical that has an even index. We have an even index since we are dealing with the square root. Because of that we have to get the imaginary i involved. 
. Keeping that in mind, let's rewrite our problem: 
. If -1 equals i-squared, we can sub that in. Also, since 8 = 4*2 and 4 is a perfect square, let's break that down at the same time: 
. i-squared is a perfect square which can be pulled out as a single i, and 4 is a perfect square which can be pulled out as a 2. We will leave a 2 under the radical. Here's your simplification: 
, choice C from above.
Given :
Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour.
In both cases, she must also rent a helmet for $5 an hour.
To Find :
Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.
Solution :
Let, after t hours total money required is ( if she rent bike ).
T = 30t.
Money required to purchase bike , M = $250.
For cost of buying a bike to be less than renting a bike :
Hence, this is the required solution.