For which value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=7x/2x-8
a. 8
b. -7
c. 0
d. 4

4

Step-by-step explanation:

Take the denominator and set it to equal 0. We do this since the expression will be going towards 0, but never actually hitting it. This is due to you NEVER being able to divide by zero. Research about why, it's actually quite fascinating! So the entire expression would forever be chasing what ever makes the denominator equate to zero.

So, let's do that.

Set 2x-8 equal to zero.

0=2x-8

Once we do some simple math, we find that 4 is what we're looking for.

the probability is 0

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: