Solve the following equation and show all of your steps: x^2+x−1=0

1 answer:

5 0

Quadratic formula since this trinomial is not factorable.
$\frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \frac{ - 1 + - \sqrt{ {(1)}^{2} - 4(1)( - 1) } }{2(1)} \\ \frac{ - 1 + - \sqrt{1 + 5} }{2} \\ \frac{ - 1 + - \sqrt{6} }{2} \\ x = \frac{ - 1 + \sqrt{6} }{2} \\ x = \frac{ - 1 - \sqrt{6} }{2}$

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State which of the following sets of order pairs represent a function

Tamiku [17]

Remark

The quick answer is C does not represent a function. It has two y values for x = 2. These two points are (2,1) and (2,3). That eliminates C. No x can have 2 y values and be called a function. A function can have many x vales for a single y and still be a function.

A has all different x values, so it could be classed as a function. There are no values where x has more than 1 y value.

B also has all different x values. It too is a function.

Answer

A and B are both functions. C is not.

D <<<<< Answer

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Two cars, 540 kilometers apart, begin driving toward each other on a long, straight highway. one car travels 75 kilometers pe

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One car travels at a speed of 75 kilometers per hour and the other car travels at a speed of 105 kilometers per hour.

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Now, since the distance between the cars to start with is 540 km. Therefore, the time taken before the cars collide is: