Using graph paper, solve the following equation. then click on the graph until the correct one is displayed.

y = -| x |

                       /\

                     /    \

                   /        \

                 /            \

               /                \

             /                    \

           /                        \

With vertex at (0,0) and angle of vertex = 90°.

Step-by-step explanation:

|x| is a function whose output depends on whether the input is zero, positive, or negative.  If the input is 0 or positive, the output of the function is x.  If the input is negative, the output of the function is -x.

0 --> 0

5 --> 5

-1 --> 1

-3.14 --> 3.14

-x² --> x²

You can think of absolute value as the magnitude of the number.  -5 and +5 have the same magnitude.  For example, if you walk 5 meters forward and then 5 meters backward, you could say that you walked -5 meters after walking +5 meters, but you still walked 5 meters + 5 meters = 10 meters.  In fact, the total distance you walked is always 0 or greater.  Thus, the absolute value of something tells you its magnitude, which will always be 0 or greater.  In the same way, |x| is always 0 or greater, or |anything| for that matter.

When you put a negative in front of the |x|, you are turning all of the positive magnitudes negative.  Thus, all the outputs of -|x| will be 0 or negative.

0 --> -0

5 --> -5

-1 --> -1

-3.14 --> -3.14

-x² --> -x²

-5 --> -5

1 --> -1

3.14 --> -3.14

x² --> -x²

Notice that when we input the negatives of our first list into -|x|, we get the same negative output as the original numbers.  Generally, when you put -n or n into -|x|, you always get the same number, -n.  Graphically, their y-values will be equal, and you will get a graph that is symmetric across the y-axis.

0.6

39mph

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!