Harper sells appliances. She makes a weekly salary of $450 plus 3% commission on her total sales for the week. If her sales this past week were $3,200, find her total earnings for the week.

The total earning for the week is $546

Step-by-step explanation:

Let us solve the question

∵ Harper sells appliances

∵ She makes a weekly salary of $450 plus a 3% commission on her

  total sales for the week

→ That means there is a fixed amount + amount depends on her sales

∴ Her total earning = 450 + 3% of total sales

∵ 3% = 3/100 = 0.03

∴ Her total earning = 450 + 0.03 (total sales)

∵ Her total sales this week were $3,200

→ Substitute it in the equation above

∴  Her total earning = 450 + 0.03(3,200)

∴ Her total earning = 450 + 96

∴  Her total earning = 546

∴ The total earning for the week is $546

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

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'.