Evaluate the following expression 2x - |4 - 7x| when x = -3

-31  

Step-by-step explanation:

2x - abs(4 - 7x)

2x = 2 * - 3 = - 6

4 - 7x = 4 - 7*-3 = 4 + 21 = 25

-6 - abs(25)

-6 - 25 = -31

You should note three things.

1. the absolute value of 25 is 25

2. There is a - sign outside the influence of the 25 so 25 becomes - 25

3. - 6 - 25 = - 31

15

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.